A New Current Regularization of Thirring Model
H.Takahashi, A.Ogura
TL;DR
This paper introduces a new, simplified current regularization method for the Thirring model, resolving ambiguities and aligning well with existing formulations, while also deriving the Schwinger term and a general regularization formula.
Contribution
It proposes a novel current regularization approach for the Thirring model that simplifies analysis and improves consistency with prior results.
Findings
New current definition enables comprehensive treatment of the Thirring model
Simpler formulation compared to Klaiber's approach
Derived the Schwinger term and a general regularization formula
Abstract
We study an ambiguity of the current regularization in the Thirring model. We find a new current definition which enables to make a comprehensive treatment of the current. Our formulation is simpler than Klaiber's formulation. We compare our result with other formulations and find a very good agreement with their result. We also obtain the Schwinger term and the general formula for any current regularization.
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