# High-temperature domain walls of QCD with imaginary chemical potentials

Nishimura, Hiromichi (0000 0001 2188 4229, grid.202665.5, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY, 11973, U.S.A.) ; Tanizaki, Yuya (0000 0001 2188 4229, grid.202665.5, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY, 11973, U.S.A.) (0000 0001 2173 6074, grid.40803.3f, Department of Physics, North Carolina State University, Raleigh, NC, 27607, U.S.A.)

12 June 2019

Abstract: We study QCD with massless quarks on ℝ 3 × 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 semi-classical analysis to obtain the domain-wall theory, and 2d U( N c − 1) gauge theories with massless fermions match the ’t Hooft anomaly. We perform these analysis for the high-temperature domain wall of ℤ N c ${\mathbb{Z}}_{N_{\mathrm{c}}}$ - QCD and also of Roberge-Weiss phase transitions.

Published in: JHEP 1906 (2019) 040 DOI: 10.1007/JHEP06(2019)040
arXiv: 1903.04014