Nonlocal non-Abelian gauge theory: Conformal invariance and -function
A Ghoshal, A Mazumdar, N Okada, D Villalba - Physical Review D, 2021 - APS
A Ghoshal, A Mazumdar, N Okada, D Villalba
Physical Review D, 2021•APSThis 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 β-function in the limit of the nonlocal scale M→∞. Interestingly, the gauge
coupling stops its running beyond the scale M, approaching an asymptotically conformal
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 β-function in the limit of the nonlocal scale M→∞. Interestingly, the gauge
coupling stops its running beyond the scale M, approaching an asymptotically conformal
theory.
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 -function in the limit of the nonlocal scale . Interestingly, the gauge coupling stops its running beyond the scale , approaching an asymptotically conformal theory.
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