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- W2051223283 abstract "We study the Abelian Higgs model in 1 + 1 dimensions with the addition of a fermion of arbitrary charge $g$ to understand the effect of instantons on the gauge and chiral structure of the model. Semiclassical approximations are used assuming a small instanton density. Without fermions, the global gauge symmetry is found to be restored, resulting in a linearly rising potential between static charges ($ifmmodepmelsetextpmfi{}Q$) and a complete screening of integral charges ($frac{Q}{e}$ = integer with $e$ the scalar charge). This gauge structure persists with the addition of a massive fermion. The spectrum of fermion bound states and the stability of the $ensuremath{theta}$ vacuums are discussed. For a massless fermion, the gauge symmetry is spontaneously broken. We explicitly show that the chiral symmetry is also spontaneously broken, but that the Nambu-Goldstone pole decouples from the gauge-invariant sector of the theory." @default.
- W2051223283 created "2016-06-24" @default.
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- W2051223283 date "1978-08-15" @default.
- W2051223283 modified "2023-09-26" @default.
- W2051223283 title "Instantons in (1 + 1)-dimensional Abelian gauge theories" @default.
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- W2051223283 doi "https://doi.org/10.1103/physrevd.18.1154" @default.
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