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

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書誌事項

公開日
2018-09
権利情報
  • https://creativecommons.org/licenses/by/4.0/
  • https://creativecommons.org/licenses/by/4.0/
DOI
  • 10.1007/jhep09(2018)076
公開者
Springer Science and Business Media LLC

説明

<jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>We study the discrete chiral- and center-symmetry ’t Hooft anomaly matching in the charge-<jats:italic>q</jats:italic>two-dimensional Schwinger model. We show that the algebra of the discrete symmetry operators involves a central extension, implying the existence of<jats:italic>q</jats:italic>vacua, and that the chiral and center symmetries are spontaneously broken. We then argue that an axial version of the<jats:italic>q</jats:italic>= 2 model appears in the worldvolume theory on domain walls between center-symmetry breaking vacua in the high-temperature SU(2)<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathcal{N}=1 $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math></jats:alternatives></jats:inline-formula>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.</jats:p>

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