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

A bstract 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 symmetri...

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Bibliographic Details
Published in:	The journal of high energy physics 2018-09, Vol.2018 (9), p.1-18, Article 76
Main Authors:	Anber, Mohamed M., Poppitz, Erich
Format:	Article
Language:	eng
Subjects:	Anomalies Anomalies in Field and String Theories Broken symmetry Classical and Quantum Gravitation Domain walls Elementary Particles Fermions Field Theories in Lower Dimensions High temperature Low temperature Magnetic fields Operators (mathematics) Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Supersymmetric Gauge Theory Supports Symmetry Two dimensional models Yang-Mills theory
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Summary:	A bstract 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.
ISSN:	1029-8479 1029-8479