Phases of circle-compactified QCD with adjoint fermions at finite density

Kanazawa, Takuya; Ünsal, Mithat; Yamamoto, Naoki

doi:10.1103/PhysRevD.96.034022

Title: Phases of circle-compactified QCD with adjoint fermions at finite density

Journal Article · Fri Aug 25 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.034022· OSTI ID:1376958

Kanazawa, Takuya; Ünsal, Mithat; Yamamoto, Naoki

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0013036; S1511006

OSTI ID:: 1376958

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 96 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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References (100)

QCD-like theories at finite baryon and isospin density Splittorff, K.; Son, D. T.; Stephanov, M. A. Physical Review D, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevD.64.016003	journal	May 2001
BCS–BEC crossover: From high temperature superconductors to ultracold superfluids Chen, Q.; Stajic, J.; Tan, S. Physics Reports, Vol. 412, Issue 1 https://doi.org/10.1016/j.physrep.2005.02.005	journal	June 2005
Ground-State Pressure of Quasi-2D Fermi and Bose Gases Makhalov, Vasiliy; Martiyanov, Kirill; Turlapov, Andrey Physical Review Letters, Vol. 112, Issue 4 https://doi.org/10.1103/PhysRevLett.112.045301	journal	January 2014
Quark confinement and topology of gauge theories Polyakov, A. M. Nuclear Physics B, Vol. 120, Issue 3 https://doi.org/10.1016/0550-3213(77)90086-4	journal	March 1977
Dynamical mass generation by compact extra dimensions Hosotani, Yutaka Physics Letters B, Vol. 126, Issue 5 https://doi.org/10.1016/0370-2693(83)90170-3	journal	July 1983
QCD at finite baryon density: nucleon droplets and color superconductivity Alford, Mark; Rajagopal, Krishna; Wilczek, Frank Physics Letters B, Vol. 422, Issue 1-4 https://doi.org/10.1016/S0370-2693(98)00051-3	journal	March 1998
New phases of $S U (3)$ and $S U (4)$ at finite temperature Myers, Joyce C.; Ogilvie, Michael C. Physical Review D, Vol. 77, Issue 12 https://doi.org/10.1103/PhysRevD.77.125030	journal	June 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
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
Finite-Temperature Field Theory Kapusta, Joseph I.; Gale, Charles https://doi.org/10.1017/CBO9780511535130	book	January 2006
Complete high temperature expansions for one-loop finite temperature effects Meisinger, Peter N.; Ogilvie, Michael C. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.056013	journal	February 2002
Superfluid transition in quasi-two-dimensional Fermi gases Petrov, D. S.; Baranov, M. A.; Shlyapnikov, G. V. Physical Review A, Vol. 67, Issue 3 https://doi.org/10.1103/PhysRevA.67.031601	journal	March 2003
Asymptotic Deconfinement in High-Density QCD Rischke, D. H.; Son, D. T.; Stephanov, M. A. Physical Review Letters, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevLett.87.062001	journal	July 2001
Instantons and massless fermions in (2+1)-dimensional lattice QED and antiferromagnets Marston, J. B. Physical Review Letters, Vol. 64, Issue 10 https://doi.org/10.1103/PhysRevLett.64.1166	journal	March 1990
Numerical study of dense adjoint matter in two color QCD Hands, S.; Montvay, I.; Morrison, S. The European Physical Journal C, Vol. 17, Issue 2 https://doi.org/10.1007/s100520000477	journal	October 2000
Large- $N$ reduction in QCD with two adjoint Dirac fermions Bringoltz, Barak; Koren, Mateusz; Sharpe, Stephen R. Physical Review D, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevD.85.094504	journal	May 2012
BCS-BEC crossover in a quasi-two-dimensional Fermi gas Fischer, Andrea M.; Parish, Meera M. Physical Review A, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevA.88.023612	journal	August 2013
Orbifold equivalence for finite density QCD and effective field theory Cherman, Aleksey; Tiburzi, Brian C. Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)034	journal	June 2011
Monopoles and instantons on partially compactified $D$ -branes Lee, Kimyeong; Yi, Piljin Physical Review D, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevD.56.3711	journal	September 1997
(S)QCD on $ {{\mathbb{R}}^3}\times {{\mathbb{S}}^1} $ : screening of Polyakov loop by fundamental quarks and the demise of semi-classics Poppitz, Erich; Sulejmanpasic, Tin Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)128	journal	September 2013
Monopoles, affine algebras and the gluino condensate Davies, N. Michael; Hollowood, Timothy J.; Khoze, Valentin V. Journal of Mathematical Physics, Vol. 44, Issue 8 https://doi.org/10.1063/1.1586477	journal	August 2003
Instantons at work Diakonov, D. Progress in Particle and Nuclear Physics, Vol. 51, Issue 1 https://doi.org/10.1016/S0146-6410(03)90014-7	journal	January 2003
Disordered SU( N ) antiferromagnets and the renormalization of charged instanton gases in three dimensions Murthy, Ganpathy Physical Review Letters, Vol. 67, Issue 7 https://doi.org/10.1103/PhysRevLett.67.911	journal	August 1991
Consequences of a colour-induced Van der Waals force between hadrons M. Fishbane, Paul; Grisaru, Marcus T. Physics Letters B, Vol. 74, Issue 1-2 https://doi.org/10.1016/0370-2693(78)90069-2	journal	March 1978
Collective excitations in a superfluid of color-flavor locked quark matter Fukushima, Kenji; Iida, Kei Physical Review D, Vol. 71, Issue 7 https://doi.org/10.1103/PhysRevD.71.074011	journal	April 2005
QCD with chemical potential in a small hyperspherical box Hands, Simon; Hollowood, Timothy J.; Myers, Joyce C. Journal of High Energy Physics, Vol. 2010, Issue 7 https://doi.org/10.1007/JHEP07(2010)086	journal	July 2010
Imaginary chemical potential and finite fermion density on the lattice Alford, Mark; Kapustin, Anton; Wilczek, Frank Physical Review D, Vol. 59, Issue 5 https://doi.org/10.1103/PhysRevD.59.054502	journal	January 1999
Quark-induced correlations between instantons drive the chiral phase transition Ilgenfritz, E. -M.; Shuryak, E. V. Physics Letters B, Vol. 325, Issue 3-4 https://doi.org/10.1016/0370-2693(94)90007-8	journal	April 1994
Absence of U(1) spin liquids in two dimensions Herbut, Igor F.; Seradjeh, Babak H.; Sachdev, Subir Physical Review B, Vol. 68, Issue 19 https://doi.org/10.1103/PhysRevB.68.195110	journal	November 2003
Existence of Long-Range Order in One and Two Dimensions Hohenberg, P. C. Physical Review, Vol. 158, Issue 2 https://doi.org/10.1103/PhysRev.158.383	journal	June 1967
Permanent Confinement in the Compact ${Q E D}_{3}$ with Fermionic Matter Herbut, Igor F.; Seradjeh, Babak H. Physical Review Letters, Vol. 91, Issue 17 https://doi.org/10.1103/PhysRevLett.91.171601	journal	October 2003
Topological zero modes at nonzero chemical potential Bruckmann, Falk; Rödl, Rudolf; Sulejmanpasic, Tin Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.054501	journal	September 2013
Phase diagrams of SU( N ) gauge theories with fermions in various representations Myers, Joyce C.; Ogilvie, Michael C. Journal of High Energy Physics, Vol. 2009, Issue 07 https://doi.org/10.1088/1126-6708/2009/07/095	journal	July 2009
QCD-like theories at nonzero temperature and density Zhang, Tian; Brauner, Tomáš; Rischke, Dirk H. Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)064	journal	June 2010
Meson masses in high density QCD Beane, Silas R.; Bedaque, Paulo F.; Savage, Martin J. Physics Letters B, Vol. 483, Issue 1-3 https://doi.org/10.1016/S0370-2693(00)00606-7	journal	June 2000
Evolution of Fermion Pairing from Three to Two Dimensions Sommer, Ariel T.; Cheuk, Lawrence W.; Ku, Mark J. H. Physical Review Letters, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevLett.108.045302	journal	January 2012
Instanton effects in QCD at high baryon density Schäfer, T. Physical Review D, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevD.65.094033	journal	May 2002
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
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
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I Nambu, Y.; Jona-Lasinio, G. Physical Review, Vol. 122, Issue 1 https://doi.org/10.1103/PhysRev.122.345	journal	April 1961
Gapless fermions and gauge fields in dielectrics Ioffe, L. B.; Larkin, A. I. Physical Review B, Vol. 39, Issue 13 https://doi.org/10.1103/PhysRevB.39.8988	journal	May 1989
High-Density QCD and Instantons Rapp, R.; Schäfer, T.; Shuryak, E. V. Annals of Physics, Vol. 280, Issue 1 https://doi.org/10.1006/aphy.1999.5991	journal	February 2000
SU(2) calorons and magnetic monopoles Lee, Kimyeong; Lu, Changhai Physical Review D, Vol. 58, Issue 2 https://doi.org/10.1103/PhysRevD.58.025011	journal	June 1998
Microscopic structure of magnetic bions Anber, Mohamed M.; Poppitz, Erich Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)136	journal	June 2011
Singular values of the Dirac operator in dense QCD-like theories Kanazawa, Takuya; Wettig, Tilo; Yamamoto, Naoki Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)007	journal	December 2011
Superconductivity from perturbative one-gluon exchange in high density quark matter Schäfer, Thomas; Wilczek, Frank Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.114033	journal	November 1999
Light quarks in the instanton vacuum at finite baryon density Carter, G. W.; Diakonov, D. Physical Review D, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRevD.60.016004	journal	June 1999
Potential for the phase of the Wilson line at nonzero quark density Korthals Altes, C. P.; Pisarski, Robert D.; Sinkovics, Annamaria Physical Review D, Vol. 61, Issue 5 https://doi.org/10.1103/PhysRevD.61.056007	journal	February 2000
Diquark condensation in dense adjoint matter Hands, S.; Montvay, I.; Scorzato, L. The European Physical Journal C, Vol. 22, Issue 3 https://doi.org/10.1007/s100520100836	journal	December 2001
Long-range forces of QCD Fujii, H.; Kharzeev, D. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.114039	journal	November 1999
Coherence–incoherence and dimensional crossover in layered strongly correlated metals Valla, T.; Johnson, P. D.; Yusof, Z. Nature, Vol. 417, Issue 6889 https://doi.org/10.1038/nature00774	journal	June 2002
Instantons and the chiral phase transition at nonzero baryon density Schäfer, T. Physical Review D, Vol. 57, Issue 7 https://doi.org/10.1103/PhysRevD.57.3950	journal	April 1998
Index theorem for topological excitations on R ³ × S ¹ and Chern-Simons theory Poppitz, Erich; Ünsal, Mithat Journal of High Energy Physics, Vol. 2009, Issue 03 https://doi.org/10.1088/1126-6708/2009/03/027	journal	March 2009
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II Nambu, Y.; Jona-Lasinio, G. Physical Review, Vol. 124, Issue 1 https://doi.org/10.1103/PhysRev.124.246	journal	October 1961
Thermodynamics of (2+1)-dimensional four-fermion models Rosenstein, B.; Warr, B. J.; Park, S. H. Physical Review D, Vol. 39, Issue 10 https://doi.org/10.1103/PhysRevD.39.3088	journal	May 1989
Gluino condensate and magnetic monopoles in supersymmetric gluodynamics Davies, N. Michael; Hollowood, Timothy J.; Khoze, Valentin V. Nuclear Physics B, Vol. 559, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00434-4	journal	October 1999
NJL-model analysis of dense quark matter Buballa, M. Physics Reports, Vol. 407, Issue 4-6 https://doi.org/10.1016/j.physrep.2004.11.004	journal	February 2005
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
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
QCD-like theories at finite baryon density Kogut, J. B.; Stephanov, M. A.; Toublan, D. Nuclear Physics B, Vol. 582, Issue 1-3 https://doi.org/10.1016/S0550-3213(00)00242-X	journal	August 2000
Stability of $U (1)$ spin liquids in two dimensions Hermele, Michael; Senthil, T.; Fisher, Matthew P. A. Physical Review B, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevB.70.214437	journal	December 2004
On two-color QCD with baryon chemical potential Kogut, J. B.; Stephanov, M. A.; Toublan, D. Physics Letters B, Vol. 464, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)00971-5	journal	October 1999
The role of instantons in quantum chromodynamics Shuryak, E. V. Nuclear Physics B, Vol. 203, Issue 1 https://doi.org/10.1016/0550-3213(82)90480-1	journal	August 1982
Monopole constituents inside SU(n) calorons Kraan, Thomas C.; van Baal, Pierre Physics Letters B, Vol. 435, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00799-0	journal	September 1998
Instantons in QCD Schäfer, T.; Shuryak, E. V. Reviews of Modern Physics, Vol. 70, Issue 2 https://doi.org/10.1103/RevModPhys.70.323	journal	April 1998
Instanton-dyon liquid model. III. Finite chemical potential Liu, Yizhuang; Shuryak, Edward; Zahed, Ismail Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.105011	journal	November 2016
Phases of gauge theories Ogilvie, Michael C. Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 48 https://doi.org/10.1088/1751-8113/45/48/483001	journal	November 2012
Deconfinement Transition in Three-Dimensional Compact $U (1)$ Gauge Theories Coupled to Matter Fields Kleinert, Hagen; Nogueira, Flavio S.; Sudbø, Asle Physical Review Letters, Vol. 88, Issue 23 https://doi.org/10.1103/PhysRevLett.88.232001	journal	May 2002
Instanton interactions in dense-matter QCD Son, D. T.; Stephanov, M. A.; Zhitnitsky, A. R. Physics Letters B, Vol. 510, Issue 1-4 https://doi.org/10.1016/S0370-2693(01)00607-4	journal	June 2001
QCD at Finite Isospin Density Son, D. T.; Stephanov, M. A. Physical Review Letters, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevLett.86.592	journal	January 2001
Chiral phase transition and instanton–anti-instanton molecules Schäfer, T.; Shuryak, E. V.; Verbaarschot, J. J. M. Physical Review D, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevD.51.1267	journal	February 1995
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
QCD-like theories on $R_{3} \times S_{1}$ : 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
Dynamics of non-integrable phases and gauge symmetry breaking Hosotani, Yutaka Annals of Physics, Vol. 190, Issue 2 https://doi.org/10.1016/0003-4916(89)90015-8	journal	March 1989
BCS-BEC crossover in a relativistic superfluid and its significance to quark matter Nishida, Yusuke; Abuki, Hiroaki Physical Review D, Vol. 72, Issue 9 https://doi.org/10.1103/PhysRevD.72.096004	journal	November 2005
Crossover from 2D to 3D in a Weakly Interacting Fermi Gas Dyke, P.; Kuhnle, E. D.; Whitlock, S. Physical Review Letters, Vol. 106, Issue 10 https://doi.org/10.1103/PhysRevLett.106.105304	journal	March 2011
New approach to collective phenomena in superconductivity models Eguchi, Tohru Physical Review D, Vol. 14, Issue 10 https://doi.org/10.1103/PhysRevD.14.2755	journal	November 1976
Some remarks on van der Waals forces in QCD Appelquist, Thomas; Fischler, W. Physics Letters B, Vol. 77, Issue 4-5 https://doi.org/10.1016/0370-2693(78)90587-7	journal	August 1978
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
Dynamical symmetry breaking in four-fermion interaction models Rosenstein, Baruch; Warr, Brian J.; Park, Seon H. Physics Reports, Vol. 205, Issue 2 https://doi.org/10.1016/0370-1573(91)90129-A	journal	June 1991
Quantum weights of dyons and of instantons with nontrivial holonomy Diakonov, Dmitri; Gromov, Nikolay; Petrov, Victor Physical Review D, Vol. 70, Issue 3 https://doi.org/10.1103/PhysRevD.70.036003	journal	August 2004
Erratum: Inverse meson mass ordering in the color-flavor-locking phase of high-density QCD [Phys. Rev. D 61 , 074012 (2000)] Son, D. T.; Stephanov, M. A. Physical Review D, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevD.62.059902	journal	July 2000
QCD and instantons at finite temperature Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G. Reviews of Modern Physics, Vol. 53, Issue 1 https://doi.org/10.1103/RevModPhys.53.43	journal	January 1981
QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry Anber, Mohamed M.; Ünsal, Mithat Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)107	journal	December 2014
String tension scaling in high-temperature confined $S U (N)$ gauge theories Meisinger, Peter N.; Ogilvie, Michael C. Physical Review D, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevD.81.025012	journal	January 2010
Superconductivity by long-range color magnetic interaction in high-density quark matter Son, D. T. Physical Review D, Vol. 59, Issue 9 https://doi.org/10.1103/PhysRevD.59.094019	journal	April 1999
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
Periodic instantons with non-trivial holonomy Kraan, Thomas C.; van Baal, Pierre Nuclear Physics B, Vol. 533, Issue 1-3 https://doi.org/10.1016/S0550-3213(98)00590-2	journal	November 1998
The alignment of the vacuum in theories of technicolor Peskin, Michael E. Nuclear Physics B, Vol. 175, Issue 2 https://doi.org/10.1016/0550-3213(80)90051-6	journal	November 1980
Anomalies at finite density and chiral fermions Gavai, R. V.; Sharma, Sayantan Physical Review D, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevD.81.034501	journal	February 2010
Spectrum of Dirac operator and role of winding number in QCD Leutwyler, H.; Smilga, A. Physical Review D, Vol. 46, Issue 12 https://doi.org/10.1103/PhysRevD.46.5607	journal	December 1992
QCD phenomenology based on a chiral effective Lagrangian Hatsuda, Tetsuo; Kunihiro, Teiji Physics Reports, Vol. 247, Issue 5-6 https://doi.org/10.1016/0370-1573(94)90022-1	journal	October 1994
BEC-BCS crossover in the Nambu-Jona-Lasinio model of QCD Sun, Gaofeng; He, Lianyi; Zhuang, Pengfei Physical Review D, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRevD.75.096004	journal	May 2007
Nambu–Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories He, Lianyi Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.096003	journal	November 2010
Diquark Bose Condensates in High Density Matter and Instantons Rapp, R.; Schäfer, T.; Shuryak, E. Physical Review Letters, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevLett.81.53	journal	July 1998
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
Instantons and (super-) symmetry breaking in (2+1) dimensions Affleck, Ian; Harvey, Jeffrey; Witten, Edward Nuclear Physics B, Vol. 206, Issue 3 https://doi.org/10.1016/0550-3213(82)90277-2	journal	October 1982
Mean-field analysis of dimensional crossover from two dimensions to three dimensions in a weakly interacting Fermi gas Hu, Hui Physical Review A, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevA.84.053624	journal	November 2011
Oscillatory phenomena in cold matter with four-fermion interaction Vshivtsev, A. S.; Vdovichenko, M. A.; Klimenko, K. G. Journal of Experimental and Theoretical Physics, Vol. 87, Issue 2 https://doi.org/10.1134/1.558650	journal	August 1998
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

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