Built on

S. Benvenuti and H. Khachatryan, “Easy-plane QED
Original
1902
Earlier work this paper cites.
L. Di Pietro, D. Gaiotto, E. Lauria, and J. Wu, “3d Abelian Gauge Theories at the Boundary,”
Original
1902
Earlier work this paper cites.
S. Chatterjee, H. Guo, S. Sachdev, R. Samajdar, M. S. Scheurer, N. Seiberg, and C. Xu, “Field-induced transition to semion topological order from the square-lattice Néel state,”
Original
1903
Earlier work this paper cites.
T. Kanazawa, M. Kieburg, and J. J. M. Verbaarschot, “Random matrix approach to three-dimensional QCD with a Chern-Simons term,”
Original
1904
Earlier work this paper cites.
R. Argurio, M. Bertolini, F. Mignosa, and P. Niro, “Charting the phase diagram of QCD
Original
1905
Earlier work this paper cites.
C. Cordova and K. Ohmori, “Anomaly Obstructions to Symmetry Preserving Gapped Phases,”
Original
1910
Earlier work this paper cites.
S. R. Coleman and E. J. Weinberg, “Radiative Corrections as the Origin of Spontaneous Symmetry Breaking,”
1910
Earlier work this paper cites.
G. ’t Hooft, “A Planar Diagram Theory for Strong Interactions,”
1974
Earlier work this paper cites.
B. I. Halperin, T. C. Lubensky, and S.-K. Ma, “First order phase transitions in superconductors and smectic A liquid crystals,”
1974
Earlier work this paper cites.
M. E. Peskin, “Mandelstam ’t Hooft Duality in Abelian Lattice Models,”
1978
Earlier work this paper cites.
E. Witten, “Baryons in the 1/n Expansion,”
1979
Earlier work this paper cites.
S. R. Coleman and E. Witten, “Chiral Symmetry Breakdown in Large N Chromodynamics,”
1980
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, “Phase Transition in a Lattice Model of Superconductivity,”
1981
Earlier work this paper cites.
A. N. Redlich, “Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three-Dimensions,”
1983
Earlier work this paper cites.
E. Witten, “Global Aspects of Current Algebra,”
1983
Earlier work this paper cites.
E. Witten, “Current Algebra, Baryons, and Quark Confinement,”
1983
Earlier work this paper cites.
C. Vafa and E. Witten, “Restrictions on Symmetry Breaking in Vector-Like Gauge Theories,”
1984
Earlier work this paper cites.
C. Vafa and E. Witten, “Eigenvalue Inequalities for Fermions in Gauge Theories,”
1984
Earlier work this paper cites.
T. W. Appelquist, M. J. Bowick, D. Karabali, and L. C. R. Wijewardhana, “Spontaneous Chiral Symmetry Breaking in Three-Dimensional QED,”
1986
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,”
1988
Earlier work this paper cites.
G. Ferretti, S. G. Rajeev, and Z. Yang, “Baryons as solitons in three-dimensional quantum chromodynamics,”
1992
Earlier work this paper cites.
G. Ferretti, S. G. Rajeev, and Z. Yang, “The Effective Lagrangian of three-dimensional quantum chromodynamics,”
1992
Earlier work this paper cites.
N. Seiberg and E. Witten, “Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory,”
1994
Earlier work this paper cites.
E. D’Hoker, “General (2+1)-dimensional effective actions and soliton spin fractionalization,”
1995
Earlier work this paper cites.
D. B. Kaplan, J.-W. Lee, D. T. Son, and M. A. Stephanov, “Conformality Lost,”
Original
2009
Earlier work this paper cites.
D. K. Hong and H.-U. Yee, “Holographic aspects of three dimensional QCD from string theory,”
Original
2010
Earlier work this paper cites.
S. Giombi, S. Minwalla, S. Prakash, S. P. Trivedi, S. R. Wadia, and X. Yin, “Chern-Simons Theory with Vector Fermion Matter,”
Original
2012
Earlier work this paper cites.

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2019

Metastable Vacua in Large-$N$ QCD$_3$

Armoni, Adi, Dumitrescu, Thomas T., Festuccia, Guido et al.

Understand

We reexamine the vacuum structure of three-dimensional quantum chromodynamics (QCD$_3$) with gauge group $SU(N)$, $N_f$ fundamental quark flavors, and a level-$k$ Chern-Simons term.

This analysis can be reliably carried out in the large-$N$, fixed $N_f, k$ limit of the theory, up to certain assumptions that we spell out explicitly.
At leading order in the large-$N$ expansion we find $N_f + 1$ distinct, exactly degenerate vacuum superselection sectors with different patterns of flavor-symmetry breaking.
The associated massless Nambu-Goldstone bosons are generically accompanied by topological Chern-Simons theories.

Built on

S. Benvenuti and H. Khachatryan, “Easy-plane QED
Original
1902
Earlier work this paper cites.
L. Di Pietro, D. Gaiotto, E. Lauria, and J. Wu, “3d Abelian Gauge Theories at the Boundary,”
Original
1902
Earlier work this paper cites.
S. Chatterjee, H. Guo, S. Sachdev, R. Samajdar, M. S. Scheurer, N. Seiberg, and C. Xu, “Field-induced transition to semion topological order from the square-lattice Néel state,”
Original
1903
Earlier work this paper cites.
T. Kanazawa, M. Kieburg, and J. J. M. Verbaarschot, “Random matrix approach to three-dimensional QCD with a Chern-Simons term,”
Original
1904
Earlier work this paper cites.
R. Argurio, M. Bertolini, F. Mignosa, and P. Niro, “Charting the phase diagram of QCD
Original
1905
Earlier work this paper cites.
C. Cordova and K. Ohmori, “Anomaly Obstructions to Symmetry Preserving Gapped Phases,”
Original
1910
Earlier work this paper cites.
S. R. Coleman and E. J. Weinberg, “Radiative Corrections as the Origin of Spontaneous Symmetry Breaking,”
1910
Earlier work this paper cites.
G. ’t Hooft, “A Planar Diagram Theory for Strong Interactions,”
1974
Earlier work this paper cites.
B. I. Halperin, T. C. Lubensky, and S.-K. Ma, “First order phase transitions in superconductors and smectic A liquid crystals,”
1974
Earlier work this paper cites.
M. E. Peskin, “Mandelstam ’t Hooft Duality in Abelian Lattice Models,”
1978
Earlier work this paper cites.
E. Witten, “Baryons in the 1/n Expansion,”
1979
Earlier work this paper cites.
S. R. Coleman and E. Witten, “Chiral Symmetry Breakdown in Large N Chromodynamics,”
1980
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, “Phase Transition in a Lattice Model of Superconductivity,”
1981
Earlier work this paper cites.
A. N. Redlich, “Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three-Dimensions,”
1983
Earlier work this paper cites.
E. Witten, “Global Aspects of Current Algebra,”
1983
Earlier work this paper cites.
E. Witten, “Current Algebra, Baryons, and Quark Confinement,”
1983
Earlier work this paper cites.
C. Vafa and E. Witten, “Restrictions on Symmetry Breaking in Vector-Like Gauge Theories,”
1984
Earlier work this paper cites.
C. Vafa and E. Witten, “Eigenvalue Inequalities for Fermions in Gauge Theories,”
1984
Earlier work this paper cites.
T. W. Appelquist, M. J. Bowick, D. Karabali, and L. C. R. Wijewardhana, “Spontaneous Chiral Symmetry Breaking in Three-Dimensional QED,”
1986
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,”
1988
Earlier work this paper cites.
G. Ferretti, S. G. Rajeev, and Z. Yang, “Baryons as solitons in three-dimensional quantum chromodynamics,”
1992
Earlier work this paper cites.
G. Ferretti, S. G. Rajeev, and Z. Yang, “The Effective Lagrangian of three-dimensional quantum chromodynamics,”
1992
Earlier work this paper cites.
N. Seiberg and E. Witten, “Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory,”
1994
Earlier work this paper cites.
E. D’Hoker, “General (2+1)-dimensional effective actions and soliton spin fractionalization,”
1995
Earlier work this paper cites.
D. B. Kaplan, J.-W. Lee, D. T. Son, and M. A. Stephanov, “Conformality Lost,”
Original
2009
Earlier work this paper cites.
D. K. Hong and H.-U. Yee, “Holographic aspects of three dimensional QCD from string theory,”
Original
2010
Earlier work this paper cites.
S. Giombi, S. Minwalla, S. Prakash, S. P. Trivedi, S. R. Wadia, and X. Yin, “Chern-Simons Theory with Vector Fermion Matter,”
Original
2012
Earlier work this paper cites.