2019/03/31 by Hiromichi Nishimura, Yuya Tanizaki
Physics and Astronomy · #Compactification (mathematics) #Domain (mathematical analysis) #Domain wall (magnetism) #Fermion #Gauge theory #High-Energy Particle Collisions Research #Massless particle #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep06(2019)040
published as JHEP 06 (2019) 040 · 21 pages (v2) affiliation updated, typos corrected
openalex created_date 2019/03/22 · openalex publication_date 2019/06/01 · arxiv created 2019/06/11 · arxiv updated 2019/06/17 · openalex updated_date 2026/08/05
A bstract 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_Nc <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ℤ</mml:mi> <mml:msub> <mml:mi>N</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:msub> </mml:math> - QCD and also of Roberge-Weiss phase transitions.