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.

arXiv comment21 pages (v2) affiliation updated, typos corrected

References in corpus (65)

• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Generalized Global Symmetries
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• The QCD phase diagram for small densities from imaginary chemical potential
• Finite density QCD via imaginary chemical potential
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Theta, Time Reversal, and Temperature
• Fermion Path Integrals And Topological Phases
• Deconfined quantum critical points: symmetries and dualities
• Exploring 2-Group Global Symmetries
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Imaginary chemical potential and finite fermion density on the lattice
• Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
• The "Parity" Anomaly On An Unorientable Manifold
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond
• Comments on Abelian Higgs Models and Persistent Order
• Anomalies of discrete symmetries in three dimensions and group cohomology
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Symmetric-Gapped Surface States of Fractional Topological Insulators
• Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases
• Walls, Anomalies, and (De)Confinement in Quantum Anti-Ferromagnets
• Z(N) interface tension in a hot SU(N) gauge theory
• Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1{)}^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations
• Anomaly constraints on deconfinement and chiral phase transition
• Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions
• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Anomaly matching for phase diagram of massless ${\mathbb{Z}}_N$-QCD
• Phases Of Adjoint QCD${}_3$ And Dualities
• Vacuum structure of bifundamental gauge theories at finite topological angles
• Circle compactification and 't Hooft anomaly
• Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
• Two-flavor adjoint QCD
• Global symmetries, volume independence and continuity
• Confinement in the bulk, deconfinement on the wall: infrared equivalence between compactified QCD and quantum magnets
• Time Reversal, SU(N) Yang-Mills and Cobordisms: Interacting Topological Superconductors/Insulators and Quantum Spin Liquids in 3+1D
• Resolution of Gauss' law in Yang-Mills theory by Gauge Invariant Projection: Topology and Magnetic Monopoles
• On time-reversal anomaly of 2+1d topological phases
• Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
• Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics
• Order parameters and color-flavor center symmetry in QCD
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Conflicting Symmetries in Topologically Ordered Surface States of Three-dimensional Bosonic Symmetry Protected Topological Phases
• Lieb-Schultz-Mattis type theorem with higher-form symmetry and the quantum dimer models
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• C-P-T anomaly matching in bosonic quantum field theory and spin chains
• Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• More on time-reversal anomaly of 2+1d topological phases
• (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
• Confinement and Z_3 symmetry in three-flavor QCD
• Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly Matching
• Anomaly matching in QCD thermal phase transition
• Lattice study on QCD-like theory with exact center symmetry
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Sigma Models on Flags
• Relating 't Hooft Anomalies of 4d Pure Yang-Mills and 2d ${\mathbb{CP}}^{N-1}$ Model
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Vacuum Structure of Charge k Two-Dimensional QED and Dynamics of an Anti D-String Near an O1- plane
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Sign problem in $Z_3$-symmetric effective Polyakov-line model

Cited by in corpus (11)

• Modified instanton sum in QCD and higher-groups
• Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
• 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)
• Lattice gauge theory for Haldane conjecture and central-branch Wilson fermion
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Self-conjugate QCD
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
• 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
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop