Interface Junctions in QCD${}_4$

Abstract

We study 3+1 dimensional $SU(N)$ Quantum Chromodynamics (QCD) with $N_f$ degenerate quarks that have a spatially varying complex mass. It leads to a network of interfaces connected by interface junctions. We use anomaly inflow to constrain these defects. Based on the chiral Lagrangian and the conjectures on the interfaces, characterized by a spatially varying $\theta$-parameter, we propose a low-energy description of such networks of interfaces. Interestingly, we observe that the operators in the effective field theories on the junctions can carry baryon charges, and their spin and isospin representations coincide with baryons. We also study defects, characterized by spatially varying coupling constants, in 2+1 dimensional Chern-Simons-matter theories and in a 3+1 dimensional real scalar theory.

arXiv comment33 pages, 9 figures

References in corpus (26)

• Generalized Global Symmetries
• Theta, Time Reversal, and Temperature
• Level/rank Duality and Chern-Simons-Matter Theories
• Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
• Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
• Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
• Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
• Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1{)}^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations
• More on the Tensorial Central Charges in N=1 Supersymmetric Gauge Theories (BPS Wall Junctions and Strings)
• Domain Wall Junctions are 1/4-BPS States
• A Symmetry Breaking Scenario for QCD${}_3$
• Berry Phase in Quantum Field Theory: Diabolical Points and Boundary Phenomena
• Generalization of the Haldane conjecture to SU(3) chains
• Higher-dimensional generalizations of the Berry curvature
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• D-Walls and Junctions in Supersymmetric Gluodynamics in the Large N Limit Suggest the Existence of Heavy Hadrons
• Topological Model for Domain Walls in (Super-)Yang-Mills Theories
• The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}{\mathbb{P}}^1$ $\sigma$-Model
• QCD domain walls, Chern-Simons theories and holography
• Sigma Models on Flags
• Skyrmions, Quantum Hall Droplets, and one current to rule them all
• Living on the walls of super-QCD
• Chiral Gauged WZW Theories and Coset Models in Conformal Field Theory

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• Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term
• Higher Berry Phase of Fermions and Index Theorem