The Relation Between Gauge and Non-Gauge Abelian Models |
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Authors: | Gabriel Di Lemos Santiago Lima |
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Institution: | 1.Centro Federal de Educa??o Tecnológica Celso Suckow da Fonsceca, Uned Nova Igua?u,Santa Rita, Nova Igua?u,Brazil |
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Abstract: | This work studies the relationship between gauge-invariant and non gauge-invariant Abelian vector models. Following a technique introduced by Harada and Tsutsui, we show that the Proca and the chiral Schwinger models may both be viewed as gauge-fixed versions of genuinely gauge-invariant models. This leads to the proposal that any consistent Abelian vector model with no gauge symmetry can be understood as a gauge theory that had its gauge fixed, which establishes an equivalence between gauge-invariant and non gauge-invariant models. Finally, we show that a gauge-invariant version of the chiral Schwinger model, after integrating out the fermionic degrees of freedom, can be identified with the two-dimensional Stueckelberg model without the gauge-fixing term. |
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