Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine‐Gordon Model

Takashi Yanagisawa

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: We present the dimensional regularization approach to the renormalization group theory of the generalized sine‐Gordon model. The generalized sine‐Gordon model means the sine‐Gordon model with high frequency cosine modes. We derive renormalization group equations for the generalized sine‐Gordon model by regularizing the divergence based on the dimensional method. We discuss the scaling property of renormalization group equations. The generalized model would present a new class of scaling property.

Date: 2018
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https://doi.org/10.1155/2018/9238280

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:9238280

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