Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls

Anber, Mohamed M.; Poppitz, Erich

Abstract

We study the discrete chiral- and center-symmetry ’t Hooft anomaly matching in the charge-q two-dimensional Schwinger model. We show that the algebra of the discrete symmetry operators involves a central extension, implying the existence of q vacua, and that the chiral and center symmetries are spontaneously broken. We then argue that an axial version of the q = 2 model appears in the worldvolume theory on domain walls between center-symmetry breaking vacua in the high-temperature SU(2) N=1 super-Yang-Mills theory and that it inherits the discrete ’t Hooft anomalies of the four-dimensional bulk. The Schwinger model results suggest that the high-temperature domain wall exhibits a surprisingly rich structure: it supports a non-vanishing fermion condensate and perimeter law for spacelike Wilson loops, thus mirroring many properties of the strongly coupled four-dimensional low-temperature theory. We also discuss generalizations to theories with multiple adjoint fermions and possible lattice tests.

Citation

Anber, M. M., & Poppitz, E. (2018). Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls. Journal of High Energy Physics, 2018(9), Article 76. https://doi.org/10.1007/jhep09%282018%29076

• Journal Article Type: Article
• Acceptance Date: Sep 7, 2018
• Online Publication Date: Sep 13, 2018
• Publication Date: 2018
• Deposit Date: Oct 3, 2021
• Publicly Available Date: Oct 4, 2021
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 9
• Article Number: 76
• DOI: https://doi.org/10.1007/jhep09%282018%29076
• Public URL: https://durham-repository.worktribe.com/output/1234670