High-temperature domain walls of QCD with imaginary chemical potentials

  • Hiromichi Nishimura
  • Yuya TanizakiEmail author
Open Access
Regular Article - Theoretical Physics


We study QCD with massless quarks on ℝ3 × S1 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 semi-classical analysis to obtain the domain-wall theory, and 2d U(Nc − 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.


Anomalies in Field and String Theories Nonperturbative Effects Phase Diagram of QCD Topological States of Matter 


Open Access

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© The Author(s) 2019

Authors and Affiliations

  1. 1.RIKEN BNL Research Center, Brookhaven National LaboratoryUptonU.S.A.
  2. 2.Department of PhysicsNorth Carolina State UniversityRaleighU.S.A.

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