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arXiv · 2010.15919

Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function

Anish Ghoshal·Anupam Mazumdar·Nobuchika Okada·Desmond Villalba
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Abstract

This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and shown to reproduce the local theory $\beta$-function in the limit of the non-local scale M $\rightarrow \infty$. Interestingly, the gauge coupling stops its running beyond the scale $M$, approaching an asymptotically conformal theory.

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Anish Ghoshal, Anupam Mazumdar, Nobuchika Okada, Desmond Villalba. 2020-10-29. Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function. https://doi.org/10.1103/physrevd.104.015003

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