Charting the phase diagram of QCD${}_3$

Abstract

We study the phase diagram of $SU(N)$ gauge theory in three space-time dimensions with a Chern-Simons term at level $k$, coupled to two sets of fundamental fermions with masses $m_1$ and $m_2$, respectively. The two-dimensional phase diagram that we propose shows a rich structure and widens in an interesting way previous results in the literature, to which it reduces in some limits. We present several checks of our proposal, including consistency with boson/fermion dualities. In this respect, we extensively comment on the structure of the scalar potential which is needed on the bosonic side of the duality.

arXiv comment27 pages, 11 figures. v2: minor edits and comments added, version to appear in journal

References in corpus (42)

• Theta, Time Reversal, and Temperature
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Chern-Simons Theory with Vector Fermion Matter
• Is the Composite Fermion a Dirac Particle?
• Deconfined quantum critical points: symmetries and dualities
• Level/rank Duality and Chern-Simons-Matter Theories
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Particle-Vortex Duality from 3d Bosonization
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Dual Dirac liquid on the surface of the electron topological insulator
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Chern Simons duality with a fundamental boson and fermion
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Correlators of Large N Fermionic Chern-Simons Vector Models
• Phases of large $N$ vector Chern-Simons theories on $S^2\times S^1$
• Particle-vortex duality in topological insulators and superconductors
• Phases Of Adjoint QCD${}_3$ And Dualities
• A Symmetry Breaking Scenario for QCD${}_3$
• A continuous transition between fractional quantum Hall and superfluid states
• Nonsupersymmetric dualities from mirror symmetry
• Gauge theory for the cuprates near optimal doping
• More Abelian Dualities in 2+1 Dimensions
• Three-dimensional dualities with bosons and fermions
• Composite fermi liquids in the lowest Landau level
• Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)$d$
• Duality and bosonization of (2+1)d Majorana fermions
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• 3d Abelian Gauge Theories at the Boundary
• Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level
• The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}{\mathbb{P}}^1$ $\sigma$-Model
• Embedding three-dimensional bosonization dualities into string theory
• QCD domain walls, Chern-Simons theories and holography
• Bosonizing three-dimensional quiver gauge theories
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• 3d Abelian Dualities with Boundaries
• Phases of QCD${}_3$ from Non-SUSY Seiberg Duality and Brane Dynamics
• Bose-Fermi Chern-Simons Dualities in the Higgsed Phase
• $QC{D}_3$ Dualities and the F-Theorem

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• Metastable Vacua in Large-$N$ QCD${}_3$
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• Vacuum structure of large $N$ QCD${}_3$ from holography
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Non-Abelian Fermionization and the Landscape of Quantum Hall Phases
• Fermionic dualities with axial gauge fields
• Phases of Flavor Broken QCD${}_3$
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Cascade of phase transitions in a planar Dirac material
• Phases of QCD${}_3$ with three families of fundamental flavors