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

Misumi, Tatsuhiro; Tanizaki, Yuya; Ünsal, Mithat

doi:10.1007/jhep07(2019)018

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

Journal Article · 03 July 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep07(2019)018 · OSTI ID:1609453

Misumi, Tatsuhiro ^[1]; Tanizaki, Yuya ^[2]; Ünsal, Mithat ^[2]

Akita Univ. (Japan); Inst. of Physical and Chemical Research (RIKEN), Wako (Japan); Keio Univ. (Japan); DOE/OSTI
North Carolina State Univ., Raleigh, NC (United States)

This work examines non-perturbative dynamics of a 2-dimensional QFT by using discrete ’t Hooft anomaly, semi-classics with circle compactification and bosonization. We focus on charge-q N-flavor Schwinger model, and also Wess-Zumino-Witten model. We first apply the recent developments of discrete ’t Hooft anomaly matching to theories on R² and its compactification to R× S¹_L. We then compare the ’t Hooft anomaly with dynamics of the models by explicitly constructing eigenstates and calculating physical quantities on the cylinder spacetime with periodic and flavor-twisted boundary conditions. We find different boundary conditions realize different anomalies. Especially under the twisted boundary conditions, there are Nq vacua associated with discrete chiral symmetry breaking. Chiral condensates for this case have fractional θ dependence e^iθ/Nq, which provides the Nq-branch structure with soft fermion mass. We show that these behaviors at a small circumference cannot be explained by usual instantons but should be understood by “quantum” instantons, which saturate the BPS bound between classical action and quantum-induced effective potential. The effects of the quantum-instantons match the exact results obtained via bosonization within the region of applicability of semi-classics. We also argue that large-N limit of the Schwinger model with twisted boundary conditions satisfy volume independence.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: North Carolina State Univ., Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-03ER41260

OSTI ID:: 1609453

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (109)

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
Path-integral representation for tunneling amplitudes in the Schwinger model Rothe, K. D.; Swieca, J. A. Annals of Physics, Vol. 117, Issue 2 https://doi.org/10.1016/0003-4916(79)90360-9	journal	February 1979
The quenched Eguchi-Kawai model Bhanot, Gyan; Heller, Urs M.; Neuberger, Herbert Physics Letters B, Vol. 113, Issue 1 https://doi.org/10.1016/0370-2693(82)90106-x	journal	June 1982
Generalization of the Haldane conjecture to SU(3) chains Lajkó, Miklós; Wamer, Kyle; Mila, Frédéric Nuclear Physics B, Vol. 924 https://doi.org/10.1016/j.nuclphysb.2017.09.015	journal	November 2017
Gauge Invariance and Mass Schwinger, Julian Physical Review, Vol. 125, Issue 1 https://doi.org/10.1103/physrev.125.397	journal	January 1962
Fractons in the twisted multiflavor Schwinger model Shifman, M. A.; Smilga, A. V. Physical Review D, Vol. 50, Issue 12 https://doi.org/10.1103/physrevd.50.7659	journal	December 1994
Interplay between mass, volume, vacuum angle, and chiral condensate inN-flavor two-dimensional QED Hetrick, J. E.; Hosotani, Y.; Iso, S. Physical Review D, Vol. 53, Issue 12 https://doi.org/10.1103/physrevd.53.7255	journal	June 1996
Bose-Fermi cancellations without supersymmetry Cherman, Aleksey; Shifman, Mikhail; Ünsal, Mithat Physical Review D, Vol. 99, Issue 10 https://doi.org/10.1103/physrevd.99.105001	journal	May 2019
Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories Kouno, Hiroaki; Misumi, Tatsuhiro; Kashiwa, Kouji arXiv https://doi.org/10.48550/arxiv.1304.3274	text	January 2013
C-P-T anomaly matching in bosonic quantum field theory and spin chains Sulejmanpasic, Tin; Tanizaki, Yuya arXiv https://doi.org/10.48550/arxiv.1802.02153	text	January 2018
The Massive Multi-flavor Schwinger Model Hetrick, J. E.; Hosotani, Y.; Iso, S. arXiv https://doi.org/10.48550/arxiv.hep-th/9502113	text	January 1995
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
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
Non-abelian bosonization in two dimensions Witten, Edward Communications in Mathematical Physics, Vol. 92, Issue 4 https://doi.org/10.1007/BF01215276	journal	December 1984
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
A PCAC puzzle: π0→γγ in the σ-model Bell, J. S.; Jackiw, R. Il Nuovo Cimento A, Vol. 60, Issue 1 https://doi.org/10.1007/BF02823296	journal	March 1969
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
Generalized global symmetries Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)172	journal	February 2015
Multi-flavor massless QED2 at finite densities via Lefschetz thimbles Tanizaki, Yuya; Tachibana, Motoi Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)081	journal	February 2017
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
Bion non-perturbative contributions versus infrared renormalons in two-dimensional ℂPN − 1 models Fujimori, Toshiaki; Kamata, Syo; Misumi, Tatsuhiro Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)190	journal	February 2019
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane Armoni, Adi; Sugimoto, Shigeki Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)175	journal	March 2019
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
Anomaly matching in QCD thermal phase transition Yonekura, Kazuya Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)062	journal	May 2019
Fractional instanton of the SU(3) gauge theory in weak coupling regime Itou, Etsuko Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)093	journal	May 2019
Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) Anber, Mohamed M.; Poppitz, Erich Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)151	journal	May 2019
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
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
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
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
Quantum distillation of Hilbert spaces, semi-classics and anomaly matching Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/JHEP08(2018)068	journal	August 2018
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
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
Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls Anber, Mohamed M.; Poppitz, Erich Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)076	journal	September 2018
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
Chiral symmetry breaking with no bilinear condensate revisited Kanazawa, Takuya Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)010	journal	October 2015
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
Relating ’t Hooft anomalies of 4d pure Yang-Mills and 2d ℂℙN− 1 model Yamazaki, Masahito Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)172	journal	October 2018
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
Lattice study on QCD-like theory with exact center symmetry Iritani, Takumi; Itou, Etsuko; Misumi, Tatsuhiro Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)159	journal	November 2015
The curious incident of multi-instantons and the necessity of Lefschetz thimbles Behtash, Alireza; Poppitz, Erich; Sulejmanpasic, Tin Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)175	journal	November 2015
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
Quantum electrodynamics in two dimensions Lowenstein, J. H.; Swieca, J. A. Annals of Physics, Vol. 68, Issue 1 https://doi.org/10.1016/0003-4916(71)90246-6	journal	November 1971
Charge shielding and quark confinement in the massive schwinger model Coleman, Sidney; Jackiw, R.; Susskind, Leonard Annals of Physics, Vol. 93, Issue 1-2 https://doi.org/10.1016/0003-4916(75)90212-2	journal	September 1975
More about the massive Schwinger model Coleman, Sidney Annals of Physics, Vol. 101, Issue 1 https://doi.org/10.1016/0003-4916(76)90280-3	journal	September 1976
Path-integral representation for tunneling amplitudes in the Schwinger model Rothe, K. D.; Swieca, J. A. Annals of Physics, Vol. 117, Issue 2 https://doi.org/10.1016/0003-4916(79)90360-9	journal	February 1979
The Schwinger model and its axial anomaly Manton, N. S. Annals of Physics, Vol. 159, Issue 1 https://doi.org/10.1016/0003-4916(85)90199-X	journal	January 1985
Consequences of anomalous ward identities Wess, J.; Zumino, B. Physics Letters B, Vol. 37, Issue 1 https://doi.org/10.1016/0370-2693(71)90582-X	journal	November 1971
Double-θ vacuum structure and the functional integral in the Schwinger model Krasnikov, N. V.; Matveev, V. A.; Rubakov, V. A. Physics Letters B, Vol. 97, Issue 1 https://doi.org/10.1016/0370-2693(80)90557-2	journal	November 1980
The quenched Eguchi-Kawai model Bhanot, Gyan; Heller, Urs M.; Neuberger, Herbert Physics Letters B, Vol. 113, Issue 1 https://doi.org/10.1016/0370-2693(82)90106-X	journal	June 1982
Theory of nonabelian goldstone bosons in two dimensions Polyakov, A.; Wiegmann, P. B. Physics Letters B, Vol. 131, Issue 1-3 https://doi.org/10.1016/0370-2693(83)91104-8	journal	November 1983
Goldstone fields in two dimensions with multivalued actions Polyakov, A. M.; Wiegmann, P. B. Physics Letters B, Vol. 141, Issue 3-4 https://doi.org/10.1016/0370-2693(84)90206-5	journal	June 1984
The massive multi-flavor Schwinger model Hetrick, J. E.; Hosotani, Y.; Iso, S. Physics Letters B, Vol. 350, Issue 1 https://doi.org/10.1016/0370-2693(95)00310-H	journal	May 1995
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
Topological fluctuations and breaking of chiral symmetry in gauge theories involving massless fermions Nielsen, N. K.; Schroer, Bert Nuclear Physics B, Vol. 120, Issue 1 https://doi.org/10.1016/0550-3213(77)90095-5	journal	March 1977
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
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
Global aspects of current algebra Witten, Edward Nuclear Physics B, Vol. 223, Issue 2 https://doi.org/10.1016/0550-3213(83)90063-9	journal	August 1983
Anomalies and fermion zero modes on strings and domain walls Callan, C. G.; Harvey, J. A. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90489-4	journal	January 1985
On the realization of chiral symmetry in (1+1) dimensions Affleck, Ian Nuclear Physics B, Vol. 265, Issue 3 https://doi.org/10.1016/0550-3213(86)90168-9	journal	March 1986
QED with unequal charges: A study of spontaneous Zn symmetry breaking Hansson, T. H.; Nielsen, H. B.; Zahed, I. Nuclear Physics B, Vol. 451, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00360-5	journal	September 1995
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
Haldane limits via Lagrangian embeddings Bykov, Dmitri Nuclear Physics B, Vol. 855, Issue 1 https://doi.org/10.1016/j.nuclphysb.2011.10.005	journal	February 2012
Generalization of the Haldane conjecture to SU(3) chains Lajkó, Miklós; Wamer, Kyle; Mila, Frédéric Nuclear Physics B, Vol. 924 https://doi.org/10.1016/j.nuclphysb.2017.09.015	journal	November 2017
Quark–gluon thermodynamics with the ${Z}_{N_c}$ symmetry Kouno, Hiroaki; Sakai, Yuji; Makiyama, Takahiro Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 8 https://doi.org/10.1088/0954-3899/39/8/085010	journal	July 2012
Confinement and $\mathbb {Z}_{3}$ symmetry in three-flavor QCD Kouno, Hiroaki; Makiyama, Takahiro; Sasaki, Takahiro Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 9 https://doi.org/10.1088/0954-3899/40/9/095003	journal	August 2013
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
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
Resurgence structure to all orders of multi-bions in deformed SUSY quantum mechanics Fujimori, Toshiaki; Kamata, Syo; Misumi, Tatsuhiro Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 8 https://doi.org/10.1093/ptep/ptx101	journal	August 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
Gauge Invariance and Mass Schwinger, Julian Physical Review, Vol. 125, Issue 1 https://doi.org/10.1103/PhysRev.125.397	journal	January 1962
Gauge Invariance and Mass. II Schwinger, Julian Physical Review, Vol. 128, Issue 5 https://doi.org/10.1103/PhysRev.128.2425	journal	December 1962
Axial-Vector Vertex in Spinor Electrodynamics Adler, Stephen L. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2426	journal	January 1969
Critical theory of quantum spin chains Affleck, Ian; Haldane, F. D. M. Physical Review B, Vol. 36, Issue 10 https://doi.org/10.1103/PhysRevB.36.5291	journal	October 1987
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
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
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
Path integral for gauge theories with fermions Fujikawa, Kazuo Physical Review D, Vol. 21, Issue 10 https://doi.org/10.1103/PhysRevD.21.2848	journal	May 1980
Chiral symmetry breaking without bilinear condensates, unbroken axial Z N symmetry, and exact QCD inequalities Kogan, Ian I.; Kovner, Alex; Shifman, M. Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.016001	journal	November 1998
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
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
Differences and similarities between fundamental and adjoint matters in S U ( N ) gauge theories Kouno, Hiroaki; Misumi, Tatsuhiro; Kashiwa, Kouji Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.016002	journal	July 2013
Understanding QCD at high density from a Z 3 -symmetric QCD-like theory Kouno, Hiroaki; Kashiwa, Kouji; Takahashi, Junichi Physical Review D, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevD.93.056009	journal	March 2016
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
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
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
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
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
Confinement in the Bulk, Deconfinement on the Wall: Infrared Equivalence between Compactified QCD and Quantum Magnets Sulejmanpasic, Tin; Shao, Hui; Sandvik, Anders W. Physical Review Letters, Vol. 119, Issue 9 https://doi.org/10.1103/PhysRevLett.119.091601	journal	September 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
Path-Integral Measure for Gauge-Invariant Fermion Theories Fujikawa, Kazuo Physical Review Letters, Vol. 42, Issue 18 https://doi.org/10.1103/PhysRevLett.42.1195	journal	April 1979
Reduction of Dynamical Degrees of Freedom in the Large- N Gauge Theory Eguchi, Tohru; Kawai, Hikaru Physical Review Letters, Vol. 48, Issue 16 https://doi.org/10.1103/PhysRevLett.48.1063	journal	April 1982
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
Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions Wang, Juven; Wen, Xiao-Gang; Witten, Edward Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031048	journal	August 2018
Hamiltonian Formulation of the Schwinger Model: Non-Confinement and Screening of the Charge Iso, S.; Murayama, H. Progress of Theoretical Physics, Vol. 84, Issue 1 https://doi.org/10.1143/ptp/84.1.142	journal	July 1990
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
Comments on abelian Higgs models and persistent order Komargodski, Zohar; Sharon, Adar; Thorngren, Ryan SciPost Physics, Vol. 6, Issue 1 https://doi.org/10.21468/SciPostPhys.6.1.003	journal	January 2019
Sigma models on flags Ohmori, Kantaro; Seiberg, Nathan; Shao, Shu-Heng SciPost Physics, Vol. 6, Issue 2 https://doi.org/10.21468/SciPostPhys.6.2.017	journal	January 2019

Cited By (7)

Higher-form symmetries and 3-group in axion electrodynamics Hidaka, Yoshimasa; Nitta, Muneto; Yokokura, Ryo Physics Letters B, Vol. 808 https://doi.org/10.1016/j.physletb.2020.135672	journal	September 2020
Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD Cherman, Aleksey; Jacobson, Theo; Tanizaki, Yuya SciPost Physics, Vol. 8, Issue 5 https://doi.org/10.21468/scipostphys.8.5.072	journal	January 2020
Strongly coupled QFT dynamics via TQFT coupling Ünsal, Mithat arXiv https://doi.org/10.48550/arxiv.2007.03880	text	January 2020
Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality Nguyen, Mendel; Tanizaki, Yuya; Ünsal, Mithat arXiv https://doi.org/10.48550/arxiv.2101.02227	text	January 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
Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow Cox, Andrew A.; Poppitz, Erich; Wong, Samuel S. Y. Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/jhep12(2019)011	journal	December 2019
Undoing decomposition Sharpe, Eric International Journal of Modern Physics A, Vol. 34, Issue 35 https://doi.org/10.1142/s0217751x19502336	journal	December 2019

Similar Records

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

Journal Article · 2018 · Journal of High Energy Physics (Online) · OSTI ID:1507781

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

Semiclassics with ’t Hooft flux background for QCD with 2-index quarks

Journal Article · 2022 · Journal of High Energy Physics (Online) · OSTI ID:1976503

Tanizaki, Yuya; Ünsal, Mithat

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

Journal Article · 2022 · Journal of High Energy Physics (Online) · OSTI ID:1976511

Pazarbaşı, Cihan; Ünsal, Mithat

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Physics

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

Citation Formats

References (109)

Cited By (7)

Similar Records

Related Subjects