Quantum distillation of Hilbert spaces, semi-classics and anomaly matching

Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat

doi:10.1007/jhep08(2018)068

Quantum distillation of Hilbert spaces, semi-classics and anomaly matching

Journal Article · Tue Aug 14 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2018)068· OSTI ID:1507781

Dunne, Gerald V. ^[1]; ^[2]; Ünsal, Mithat ^[3]

Univ. of California, Berkeley, CA (United States). Kavli Inst. for Theoretical Physics; Univ. of Connecticut, Storrs, CT (United States). Dept. of Physics; Univ. of California, Santa Barbara, CA (United States)
Univ. of California, Berkeley, CA (United States). Kavli Inst. for Theoretical Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Univ. of California, Berkeley, CA (United States). Kavli Inst. for Theoretical Physics; North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics

A symmetry-twisted boundary condition of the path integral provides a suitable framework for the semi-classical analysis of nonperturbative quantum field theories (QFTs), and we reinterpret it from the viewpoint of the Hilbert space. An appropriate twist with the unbroken symmetry can potentially produce huge cancellations among excited states in the state-sum, without affecting the ground states; we call this effect “quantum distillation”. Quantum distillation can provide the underlying mechanism for adiabatic continuity, by preventing a phase transition under S¹ compactification. We revisit this point via the ’t Hooft anomaly matching condition when it constrains the vacuum structure of the theory on $$\mathbb{R} $$^d and upon compactification. We show that there is a precise relation between the persistence of the anomaly upon compactification, the Hilbert space quantum distillation, and the semi-classical analysis of the corresponding symmetry-twisted path integrals. We motivate quantum distillation in quantum mechanical examples, and then study its non-trivial action in QFT, with the example of the 2D Grassmannian sigma model Gr(N, M). We also discuss the connection of quantum distillation with large-N volume independence and flavor-momentum transmutation.

View Accepted Manuscript (DOE)

Research Organization:: North Carolina State Univ., Raleigh, NC (United States); Univ. of Connecticut, Storrs, CT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: FG02-03ER41260; SC0010339

OSTI ID:: 1507781

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (104)

Bose-Fermi degeneracies in large N adjoint QCD Basar, Gökçe; Cherman, Aleksey; McGady, David Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/jhep07(2015)016	journal	July 2015
Exact Gell-Mann-Low function of supersymmetric Kähler sigma models Morozov, Alexei Y.; Perelomov, Askold M.; Shifman, Michael A. Nuclear Physics B, Vol. 248, Issue 2 https://doi.org/10.1016/0550-3213(84)90598-4	journal	December 1984
Instanton constituents and fermionic zero modes in twisted CPn models Brendel, Wieland; Bruckmann, Falk; Janssen, Lukas Physics Letters B, Vol. 676, Issue 1-3 https://doi.org/10.1016/j.physletb.2009.04.055	journal	June 2009
QCD on a small circle Aitken, Kyle; Cherman, Aleksey; Poppitz, Erich Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/physrevd.96.096022	journal	November 2017
Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model Cherman, Aleksey; Dorigoni, Daniele; Dunne, Gerald V. Physical Review Letters, Vol. 112, Issue 2 https://doi.org/10.1103/physrevlett.112.021601	journal	January 2014
Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD Cherman, Aleksey; Schäfer, Thomas; Ünsal, Mithat Physical Review Letters, Vol. 117, Issue 8 https://doi.org/10.1103/physrevlett.117.081601	journal	August 2016
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 26 https://doi.org/10.1103/physrevlett.17.1307	journal	December 1966
Volume independence in the large N limit and an emergent fermionic symmetry G., Başar,; A., Cherman,; D., Dorigoni, American Physical Society https://doi.org/10.17615/yph4-2b24	text	January 2013
A semiclassical realization of infrared renormalons Argyres, Philip; Unsal, Mithat arXiv https://doi.org/10.48550/arxiv.1204.1661	text	January 2012
Coupling a QFT to a TQFT and Duality Kapustin, Anton; Seiberg, Nathan arXiv https://doi.org/10.48550/arxiv.1401.0740	text	January 2014
Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles Cherman, Aleksey; Dorigoni, Daniele; Unsal, Mithat arXiv https://doi.org/10.48550/arxiv.1403.1277	preprint	January 2014
Exponential reduction of finite volume effects with twisted boundary conditions Cherman, Aleksey; Sen, Srimoyee; Wagman, Michael L. arXiv https://doi.org/10.48550/arxiv.1612.00403	text	January 2016
Order parameters and color-flavor center symmetry in QCD Cherman, Aleksey; Sen, Srimoyee; Unsal, Mithat arXiv https://doi.org/10.48550/arxiv.1706.05385	text	January 2017
Volume independence in large Nc QCD-like gauge theories Kovtun, Pavel; Unsal, Mithat; Yaffe, Laurence G. arXiv https://doi.org/10.48550/arxiv.hep-th/0702021	text	January 2007
Seiberg-Witten Theory and Random Partitions Nekrasov, Nikita A.; Okounkov, Andrei Progress in Mathematics https://doi.org/10.1007/0-8176-4467-9_15	book	January 2007
Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking Hooft, G. ’t Recent Developments in Gauge Theories https://doi.org/10.1007/978-1-4684-7571-5_9	book	January 1980
Rigorous Results on Valence-Bond Ground States in Antiferromagnets Affleck, Ian; Kennedy, Tom; Lieb, Elliott H. Condensed Matter Physics and Exactly Soluble Models https://doi.org/10.1007/978-3-662-06390-3_18	book	January 2004
A proof of part of Haldane's conjecture on spin chains Affleck, Ian; Lieb, Elliott H. Letters in Mathematical Physics, Vol. 12, Issue 1 https://doi.org/10.1007/BF00400304	journal	July 1986
Elliptic genera and quantum field theory Witten, Edward Communications in Mathematical Physics, Vol. 109, Issue 4 https://doi.org/10.1007/BF01208956	journal	December 1987
There are no Goldstone bosons in two dimensions Coleman, Sidney Communications in Mathematical Physics, Vol. 31, Issue 4 https://doi.org/10.1007/BF01646487	journal	December 1973
Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/JHEP01(2018)110	journal	January 2018
Coupling a QFT to a TQFT and duality Kapustin, Anton; Seiberg, Nathan Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)001	journal	April 2014
Non-BPS exact solutions and their relation to bions in ℂ P N − 1 models Misumi, Tatsuhiro; Nitta, Muneto; Sakai, Norisuke Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)057	journal	May 2016
Theta, time reversal and temperature Gaiotto, Davide; Kapustin, Anton; Komargodski, Zohar Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)091	journal	May 2017
Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model Misumi, Tatsuhiro; Nitta, Muneto; Sakai, Norisuke Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)164	journal	June 2014
Adjoint QCD on ℝ3 × S 1 with twisted fermionic boundary conditions Misumi, Tatsuhiro; Kanazawa, Takuya Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)181	journal	June 2014
Vacuum structure of bifundamental gauge theories at finite topological angles Tanizaki, Yuya; Kikuchi, Yuta Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)102	journal	June 2017
Large N reduction with the twisted Eguchi-Kawai model González-Arroyo, Antonio; Okawa, Masanori Journal of High Energy Physics, Vol. 2010, Issue 7 https://doi.org/10.1007/JHEP07(2010)043	journal	July 2010
Bose-Fermi degeneracies in large N adjoint QCD Basar, Gökçe; Cherman, Aleksey; McGady, David Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)016	journal	July 2015
From 4d Yang-Mills to 2d ℂℙN − 1 model: IR problem and confinement at weak coupling Yamazaki, Masahito; Yonekura, Kazuya Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)088	journal	July 2017
Large-N volume independence in conformal and confining gauge theories Ünsal, Mithat; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)030	journal	August 2010
The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects Argyres, Philip C.; Ünsal, Mithat Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)063	journal	August 2012
Resurgence and dynamics of O(N) and Grassmannian sigma models Dunne, Gerald V.; Ünsal, Mithat Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)199	journal	September 2015
Continuity, deconfinement, and (super) Yang-Mills theory Poppitz, Erich; Schäfer, Thomas; Ünsal, Mithat Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)115	journal	October 2012
Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles Cherman, Aleksey; Dorigoni, Daniele; Ünsal, Mithat Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)056	journal	October 2015
Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model Dunne, Gerald V.; Ünsal, Mithat Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)170	journal	November 2012
Deconfinement in $ \mathcal{N}=1 $ super Yang-Mills theory on $ {{\mathbb{R}}^3}\times {{\mathbb{S}}^1} $ via dual-Coulomb gas and “affine” XY-model Anber, Mohamed M.; Collier, Scott; Poppitz, Erich Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)142	journal	November 2013
Circle compactification and ’t Hooft anomaly Tanizaki, Yuya; Misumi, Tatsuhiro; Sakai, Norisuke Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)056	journal	December 2017
Chiral models: Geometrical aspects Perelomov, A. Physics Reports, Vol. 146, Issue 3 https://doi.org/10.1016/0370-1573(87)90044-5	journal	February 1987
A twisted model for large N lattice gauge theory Gonzalez-Arroyo, A.; Okawa, M. Physics Letters B, Vol. 120, Issue 1-3 https://doi.org/10.1016/0370-2693(83)90647-0	journal	January 1983
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model Haldane, F. D. M. Physics Letters A, Vol. 93, Issue 9 https://doi.org/10.1016/0375-9601(83)90631-X	journal	February 1983
Classical solutions of two-dimensional Grassmannian models Zakrzewski, W. J. Journal of Geometry and Physics, Vol. 1, Issue 2 https://doi.org/10.1016/0393-0440(84)90003-2	journal	January 1984
Instatons, the quark model, and the 1/N expansion Witten, Edward Nuclear Physics B, Vol. 149, Issue 2 https://doi.org/10.1016/0550-3213(79)90243-8	journal	March 1979
The role of instantons in scale-invariant gauge theories Affleck, Ian Nuclear Physics B, Vol. 162, Issue 3 https://doi.org/10.1016/0550-3213(80)90350-8	journal	January 1980
The axial anomaly and the bound-state spectrum in confining theories Frishman, Y.; Schwimmer, A.; Banks, T. Nuclear Physics B, Vol. 177, Issue 1 https://doi.org/10.1016/0550-3213(81)90268-6	journal	January 1981
't Hooft's consistency condition as a consequence of analyticity and unitarity Coleman, Sidney; Grossman, Bernard Nuclear Physics B, Vol. 203, Issue 2 https://doi.org/10.1016/0550-3213(82)90028-1	journal	August 1982
Constraints on supersymmetry breaking Witten, Edward Nuclear Physics B, Vol. 202, Issue 2 https://doi.org/10.1016/0550-3213(82)90071-2	journal	July 1982
A quenched momentum prescription for large-N theories Gross, David J.; Kitazawa, Yoshihisa Nuclear Physics B, Vol. 206, Issue 3 https://doi.org/10.1016/0550-3213(82)90278-4	journal	October 1982
Time reversal, S U ( N ) Yang–Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in 3 + 1 D Guo, Meng; Putrov, Pavel; Wang, Juven Annals of Physics, Vol. 394 https://doi.org/10.1016/j.aop.2018.04.025	journal	July 2018
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems Verstraete, F.; Murg, V.; Cirac, J. I. Advances in Physics, Vol. 57, Issue 2 https://doi.org/10.1080/14789940801912366	journal	March 2008
Solution of the Schr dinger equation of the complex manifold CP ⁿ Macfarlane, A. J. Journal of Physics A: Mathematical and General, Vol. 36, Issue 37 https://doi.org/10.1088/0305-4470/36/37/307	journal	September 2003
Volume independence in large N _c QCD-like gauge theories Kovtun, Pavel; Ünsal, Mithat; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2007, Issue 06 https://doi.org/10.1088/1126-6708/2007/06/019	journal	June 2007
Finite size phase transitions in QCD with adjoint fermions Cossu, Guido; D'Elia, Massimo Journal of High Energy Physics, Vol. 2009, Issue 07 https://doi.org/10.1088/1126-6708/2009/07/048	journal	July 2009
Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes Misumi, Tatsuhiro; Nitta, Muneto; Sakai, Norisuke Progress of Theoretical and Experimental Physics, Vol. 2015, Issue 3 https://doi.org/10.1093/ptep/ptv009	journal	March 2015
Gapped boundary phases of topological insulators via weak coupling Seiberg, Nathan; Witten, Edward Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12 https://doi.org/10.1093/ptep/ptw083	journal	November 2016
On time-reversal anomaly of 2+1d topological phases Tachikawa, Yuji; Yonekura, Kazuya Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 3 https://doi.org/10.1093/ptep/ptx010	journal	March 2017
Global inconsistency, ’t Hooft anomaly, and level crossing in quantum mechanics Kikuchi, Yuta; Tanizaki, Yuya Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 11 https://doi.org/10.1093/ptep/ptx148	journal	November 2017
Classification of gapped symmetric phases in one-dimensional spin systems Chen, Xie; Gu, Zheng-Cheng; Wen, Xiao-Gang Physical Review B, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevB.83.035107	journal	January 2011
Conflicting symmetries in topologically ordered surface states of three-dimensional bosonic symmetry protected topological phases Cho, Gil Young; Teo, Jeffrey C. Y.; Ryu, Shinsei Physical Review B, Vol. 89, Issue 23 https://doi.org/10.1103/PhysRevB.89.235103	journal	June 2014
The “parity” anomaly on an unorientable manifold Witten, Edward Physical Review B, Vol. 94, Issue 19 https://doi.org/10.1103/PhysRevB.94.195150	journal	November 2016
Anomaly manifestation of Lieb-Schultz-Mattis theorem and topological phases Cho, Gil Young; Hsieh, Chang-Tse; Ryu, Shinsei Physical Review B, Vol. 96, Issue 19 https://doi.org/10.1103/PhysRevB.96.195105	journal	November 2017
Walls, anomalies, and deconfinement in quantum antiferromagnets Komargodski, Zohar; Sulejmanpasic, Tin; Ünsal, Mithat Physical Review B, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevB.97.054418	journal	February 2018
C − P − T anomaly matching in bosonic quantum field theory and spin chains Sulejmanpasic, Tin; Tanizaki, Yuya Physical Review B, Vol. 97, Issue 14 https://doi.org/10.1103/PhysRevB.97.144201	journal	April 2018
Twisted-Eguchi-Kawai model: A reduced model for large- N lattice gauge theory Gonzalez-Arroyo, A.; Okawa, M. Physical Review D, Vol. 27, Issue 10 https://doi.org/10.1103/PhysRevD.27.2397	journal	May 1983
Moduli space of BPS domain walls Tong, David Physical Review D, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevD.66.025013	journal	July 2002
QCD-like theories on R 3 × S 1 : A smooth journey from small to large r ( S 1 ) with double-trace deformations Shifman, M.; Ünsal, Mithat Physical Review D, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevD.78.065004	journal	September 2008
Center-stabilized Yang-Mills theory: Confinement and large N volume independence Ünsal, Mithat; Yaffe, Laurence G. Physical Review D, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevD.78.065035	journal	September 2008
Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions Ünsal, Mithat Physical Review D, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevD.80.065001	journal	September 2009
Continuity and Resurgence: Towards a continuum definition of the C P ( N − 1 ) model Dunne, Gerald V.; Ünsal, Mithat Physical Review D, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevD.87.025015	journal	January 2013
Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders Wen, Xiao-Gang Physical Review D, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevD.88.045013	journal	August 2013
Polyakov loops and the Hosotani mechanism on the lattice Cossu, Guido; Noaki, Jun-Ichi; Hatanaka, Hisaki Physical Review D, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevD.89.094509	journal	May 2014
Nonperturbative contributions from complexified solutions in C P N − 1 models Fujimori, Toshiaki; Kamata, Syo; Misumi, Tatsuhiro Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.105002	journal	November 2016
Exponential reduction of finite volume effects with twisted boundary conditions Cherman, Aleksey; Sen, Srimoyee; Wagman, Michael L. Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074512	journal	April 2017
QCD on a small circle Aitken, Kyle; Cherman, Aleksey; Poppitz, Erich Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.096022	journal	November 2017
Anomaly matching for the phase diagram of massless Z N -QCD Tanizaki, Yuya; Kikuchi, Yuta; Misumi, Tatsuhiro Physical Review D, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevD.97.054012	journal	March 2018
Anomaly constraints on deconfinement and chiral phase transition Shimizu, Hiroyuki; Yonekura, Kazuya Physical Review D, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevD.97.105011	journal	May 2018
Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory Ünsal, Mithat Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.032005	journal	January 2008
Instanton Constituents in the O(3) Model at Finite Temperature Bruckmann, Falk Physical Review Letters, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevLett.100.051602	journal	February 2008
Semiclassical Realization of Infrared Renormalons Argyres, Philip; Ünsal, Mithat Physical Review Letters, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevLett.109.121601	journal	September 2012
Volume Independence in the Large N Limit and an Emergent Fermionic Symmetry Başar, Gökçe; Cherman, Aleksey; Dorigoni, Daniele Physical Review Letters, Vol. 111, Issue 12 https://doi.org/10.1103/PhysRevLett.111.121601	journal	September 2013
Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model Cherman, Aleksey; Dorigoni, Daniele; Dunne, Gerald V. Physical Review Letters, Vol. 112, Issue 2 https://doi.org/10.1103/PhysRevLett.112.021601	journal	January 2014
Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology Kapustin, Anton; Thorngren, Ryan Physical Review Letters, Vol. 112, Issue 23 https://doi.org/10.1103/PhysRevLett.112.231602	journal	June 2014
Field-Theory Representation of Gauge-Gravity Symmetry-Protected Topological Invariants, Group Cohomology, and Beyond Wang, Juven C.; Gu, Zheng-Cheng; Wen, Xiao-Gang Physical Review Letters, Vol. 114, Issue 3 https://doi.org/10.1103/PhysRevLett.114.031601	journal	January 2015
Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD Cherman, Aleksey; Schäfer, Thomas; Ünsal, Mithat Physical Review Letters, Vol. 117, Issue 8 https://doi.org/10.1103/PhysRevLett.117.081601	journal	August 2016
Global Symmetries, Volume Independence, and Continuity in Quantum Field Theories Sulejmanpasic, Tin Physical Review Letters, Vol. 118, Issue 1 https://doi.org/10.1103/PhysRevLett.118.011601	journal	January 2017
Derivation of the Time-Reversal Anomaly for ( 2 + 1 )-Dimensional Topological Phases Tachikawa, Yuji; Yonekura, Kazuya Physical Review Letters, Vol. 119, Issue 11 https://doi.org/10.1103/PhysRevLett.119.111603	journal	September 2017
Order Parameters and Color-Flavor Center Symmetry in QCD Cherman, Aleksey; Sen, Srimoyee; Ünsal, Mithat Physical Review Letters, Vol. 119, Issue 22 https://doi.org/10.1103/PhysRevLett.119.222001	journal	November 2017
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 22 https://doi.org/10.1103/PhysRevLett.17.1133	journal	November 1966
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State Haldane, F. D. M. Physical Review Letters, Vol. 50, Issue 15 https://doi.org/10.1103/PhysRevLett.50.1153	journal	April 1983
Rigorous results on valence-bond ground states in antiferromagnets Affleck, Ian; Kennedy, Tom; Lieb, Elliott H. Physical Review Letters, Vol. 59, Issue 7 https://doi.org/10.1103/PhysRevLett.59.799	journal	August 1987
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" Haldane, F. D. M. Physical Review Letters, Vol. 61, Issue 18 https://doi.org/10.1103/PhysRevLett.61.2015	journal	October 1988
Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect Vishwanath, Ashvin; Senthil, T. Physical Review X, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevX.3.011016	journal	February 2013
Deconfined Quantum Critical Points: Symmetries and Dualities Wang, Chong; Nahum, Adam; Metlitski, Max A. Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevX.7.031051	journal	September 2017
Fermion path integrals and topological phases Witten, Edward Reviews of Modern Physics, Vol. 88, Issue 3 https://doi.org/10.1103/RevModPhys.88.035001	journal	July 2016
New Nonperturbative Methods in Quantum Field Theory: From Large- N Orbifold Equivalence to Bions and Resurgence Dunne, Gerald V.; Ünsal, Mithat Annual Review of Nuclear and Particle Science, Vol. 66, Issue 1 https://doi.org/10.1146/annurev-nucl-102115-044755	journal	October 2016
Seiberg-Witten Prepotential from Instanton Counting Nekrasov, Nikita A. Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 5 https://doi.org/10.4310/ATMP.2003.v7.n5.a4	journal	January 2003
Supersymmetry and Morse theory Witten, Edward Journal of Differential Geometry, Vol. 17, Issue 4 https://doi.org/10.4310/jdg/1214437492	journal	January 1982
Finite size phase transitions in QCD with adjoint fermions Cossu, Guido; D'Elia, Massimo arXiv https://doi.org/10.48550/arxiv.0904.1353	text	January 2009
Large $N$ reduction with the Twisted Eguchi-Kawai model González-Arroyo, Antonio; Okawa, Masanori arXiv https://doi.org/10.48550/arxiv.1005.1981	text	January 2010
Continuity, Deconfinement, and (Super) Yang-Mills Theory Poppitz, Erich; Schaefer, Thomas; Unsal, Mithat arXiv https://doi.org/10.48550/arxiv.1205.0290	text	January 2012
The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects Argyres, Philip C.; Ünsal, Mithat arXiv https://doi.org/10.48550/arxiv.1206.1890	text	January 2012
Theta, Time Reversal, and Temperature Gaiotto, Davide; Kapustin, Anton; Komargodski, Zohar arXiv https://doi.org/10.48550/arxiv.1703.00501	text	January 2017
Vacuum structure of bifundamental gauge theories at finite topological angles Tanizaki, Yuya; Kikuchi, Yuta arXiv https://doi.org/10.48550/arxiv.1705.01949	text	January 2017
QCD on a small circle Aitken, Kyle; Cherman, Aleksey; Poppitz, Erich arXiv https://doi.org/10.48550/arxiv.1707.08971	text	January 2017

Cited By (12)

Modified instanton sum in QCD and higher-groups Tanizaki, Yuya; Ünsal, Mithat Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/jhep03(2020)123	journal	March 2020
Thermal order in large N conformal gauge theories Chaudhuri, Soumyadeep; Choi, Changha; Rabinovici, Eliezer Journal of High Energy Physics, Vol. 2021, Issue 4 https://doi.org/10.1007/jhep04(2021)203	journal	April 2021
Self-conjugate QCD Anber, Mohamed M. Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)042	journal	October 2019
Quantum distillation in QCD Kanazawa, Takuya; Ünsal, Mithat Physical Review D, Vol. 102, Issue 3 https://doi.org/10.1103/physrevd.102.034013	journal	August 2020
Phase structure of the twisted $SU(3)/U(1)^2$ flag sigma model on $\mathbb{R}\times S^1$ Hongo, Masaru; Misumi, Tatsuhiro; Tanizaki, Yuya arXiv https://doi.org/10.48550/arxiv.1812.02259	text	January 2018
High-temperature domain walls of QCD with imaginary chemical potentials Nishimura, Hiromichi; Tanizaki, Yuya arXiv https://doi.org/10.48550/arxiv.1903.04014	text	January 2019
Phase structure of the twisted SU(3)/U(1)2 flag sigma model on ℝ × S1 Hongo, Masaru; Misumi, Tatsuhiro; Tanizaki, Yuya Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)070	journal	February 2019
High-temperature domain walls of QCD with imaginary chemical potentials Nishimura, Hiromichi; Tanizaki, Yuya Journal of High Energy Physics, Vol. 2019, Issue 6 https://doi.org/10.1007/jhep06(2019)040	journal	June 2019
Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking Tanizaki, Yuya Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/jhep08(2018)171	journal	August 2018
Entanglement entropy, dualities, and deconfinement in gauge theories Anber, Mohamed M.; Kolligs, Benjamin J. Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/jhep08(2018)175	journal	August 2018
Anomaly and global inconsistency matching: θ angles, S U ( 3 ) / U ( 1 ) 2 nonlinear sigma model, S U ( 3 ) chains, and generalizations Tanizaki, Yuya; Sulejmanpasic, Tin Physical Review B, Vol. 98, Issue 11 https://doi.org/10.1103/physrevb.98.115126	journal	September 2018
Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking Tanizaki, Yuya arXiv https://doi.org/10.48550/arxiv.1807.07666	text	January 2018

Figures / Tables (2)

Figure 1(p. 5)

Figure-2(p. 8)

Similar Records

Fractional θ angle, ’t Hooft anomaly, and quantum instantons in charge-q multi-flavor Schwinger model

Journal Article · Tue Jul 02 20:00:00 EDT 2019 · Journal of High Energy Physics (Online) · OSTI ID:1609453

Polyakov model in ’t Hooft flux background: a quantum mechanical reduction with memory

Journal Article · Mon Aug 08 20:00:00 EDT 2022 · Journal of High Energy Physics (Online) · OSTI ID:1976511

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Nonperturbative Effects
Sigma Models

Quantum distillation of Hilbert spaces, semi-classics and anomaly matching

Citation Formats

References (104)

Cited By (12)

Figures / Tables (2)

Similar Records

Related Subjects