From 3d dualities to hadron physics

Abstract

When one of the space-time dimension is compactified on $S^1$, the QCD exhibits the chiral phase transition at some critical radius. When we further turn on a background $\theta$ term which depends on the $S^1$ compactified coordinate, a topological ordered phase appears at low energy via the winding of $\theta$. We discuss what kind of theories can describe the physics near the critical point by requiring the matching of topological field theories in the infrared. As one of the possibilities, we propose a scenario where the $\rho$ and $\omega$ mesons form a $U(N_f)$ gauge theory near the critical point. In the phase where the chiral symmetry is restored, they become the dual gauge boson of the gluon related by the level-rank duality between the three dimensional gauge theories, $SU(N{)}_{N_f}$ and $U(N_f{)}_{-N}$.

arXiv comment40 pages, 2 figures, version to appear in PRD

References in corpus (77)

• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• Chiral symmetry breaking from five dimensional spaces
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Particle-Vortex Duality from 3d Bosonization
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• QCD and dimensional deconstruction
• Comments on Chern-Simons Contact Terms in Three Dimensions
• Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Hadronic Spectral Functions in Lattice QCD
• Lectures on the Quantum Hall Effect
• QCD-like Theories on R_3\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations
• Generalized Bloch theorem and chiral transport phenomena
• Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups
• Meson screening masses from lattice QCD with two light and the strange quark
• Finite size phase transitions in QCD with adjoint fermions
• Evidence of effective axial U(1) symmetry restoration at high temperature QCD
• Anomaly matching for phase diagram of massless ${\mathbb{Z}}_N$-QCD
• Theta dependence, sign problems and topological interference
• Phases Of Adjoint QCD${}_3$ And Dualities
• A Symmetry Breaking Scenario for QCD${}_3$
• Circle compactification and 't Hooft anomaly
• More Abelian Dualities in 2+1 Dimensions
• Chiral Soliton Lattice and Charged Pion Condensation in Strong Magnetic Fields
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Vector Mesons and an Interpretation of Seiberg Duality
• Lattice QCD for Cosmology
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Meson Correlators in Finite Temperature Lattice QCD
• Topological Susceptibility and Contact Term in QCD. A Toy Model
• Large-N volume independence in conformal and confining gauge theories
• Polyakov loops and the Hosotani mechanism on the lattice
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD
• QCD on a small circle
• Level-rank duality of the U(N) WZW model, Chern-Simons theory, and 2d qYM theory
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• 2d affine XY-spin model/ 4d gauge theory duality and deconfinement
• The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}{\mathbb{P}}^1$ $\sigma$-Model
• Deconfinement in N=1 super Yang-Mills theory on R^3 x S^1 via dual-Coulomb gas and "affine" XY-model
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• QCD domain walls, Chern-Simons theories and holography
• Meson Screening Masses at high Temperature in quenched QCD with improved Wilson Quarks
• On Yang-Mills Theories with Chiral Matter at Strong Coupling
• Massive Pions, Anomalies and Baryons in Holographic QCD
• Lattice study on QCD-like theory with exact center symmetry
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Renormalization in the Gauged Nambu--Jona-Lasinio Model
• Multiflavor QCD* on R_3 x S_1: Studying Transition From Abelian to Non-Abelian Confinement
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Phases of QCD${}_3$ from Non-SUSY Seiberg Duality and Brane Dynamics
• Metastable Vacua in Large-$N$ QCD${}_3$
• Metastable vacuum decay and $\theta$ dependence in gauge theory. Deformed QCD as a toy model
• Baryons as Quantum Hall Droplets
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• Deconfinement in Yang-Mills theory through toroidal compactification with deformation
• Critical behavior of gauge theories and Coulomb gases in three and four dimensions
• Hidden local symmetry and color confinement
• Oblique Confinement at $\theta \ne 0$ in weakly coupled gauge theories with deformations
• Seiberg duality versus hidden local symmetry
• Updates on the Columbia plot and its extended/alternative versions
• On the Global Structure of Deformed Yang-Mills Theory and QCD(adj) on ${\mathbb{R}}^3\times {\mathbb{S}}^1$
• Making confining strings out of mesons
• Deconstructing S-Duality
• $QC{D}_3$ Dualities and the F-Theorem
• Metastable vacuum decay in center-stabilized Yang-Mills theory at large N
• Phases of $\mathbf{U}({\mathbf{N}}_{\mathbf{c}})$ QCD${}_3$ from Type 0 Strings and Seiberg Duality
• Non-Abelian sigma models from Yang-Mills theory compactified on a circle

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