High-temperature domain walls of QCD with imaginary chemical potentials

Abstract

We study QCD with massless quarks on ${\mathbb{R}}^3\times S^1$ under symmetry-twisted boundary conditions with small compactification radius, i.e. at high temperatures. Under suitable boundary conditions, the theory acquires a part of the center symmetry and it is spontaneously broken at high temperatures. We show that these vacua at high temperatures can be regarded as different symmetry-protected topological orders, and the domain walls between them support nontrivial massless gauge theories as a consequence of anomaly-inflow mechanism. At sufficiently high temperatures, we can perform the semiclassical analysis to obtain the domain-wall theory, and $2$d $U(N_{\mathrm{c}}-1)$ gauge theories with massless fermions match the 't~Hooft anomaly. We perform these analysis for the high-temperature domain wall of ${\mathbb{Z}}_{N_{\mathrm{c}}}$-QCD and also of Roberge-Weiss phase transitions.

21 pages (v2) affiliation updated, typos corrected

References in corpus (12)

• Generalized Global Symmetries
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Anomalies of discrete symmetries in three dimensions and group cohomology
• Symmetric-Gapped Surface States of Fractional Topological Insulators
• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Vacuum structure of bifundamental gauge theories at finite topological angles
• Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Order parameters and color-flavor center symmetry in QCD
• Anomaly matching in QCD thermal phase transition
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$

Cited by in corpus (5)

• Fractional $\theta$ angle, 't Hooft anomaly, and quantum instantons in charge-$q$ multi-flavor Schwinger model
• Deconfinement and CP-breaking at $\theta =\pi$ in Yang-Mills theories and a novel phase for SU(2)
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter