QFT and BeyondNo Access

Renormalisation group determination of scalar mass bounds in a simple Yukawa-model

A. Jakovác

Institute of Physics, Eötvös University, Budapest, H-1117, Hungary

E-mail Address: jakovac@caesar.elte.hu

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I. Kaposvári

Eötvös University, Budapest, H-1117, Hungary

E-mail Address: stevenkaposvari@gmail.com

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, and

A. Patkós

MTA-ELTE Research Group for Biological and Statistical Physics, Budapest, H-1117, Hungary

E-mail Address: patkos@hector.elte.hu

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https://doi.org/10.1142/S0217751X16450421Cited by:4 (Source: Crossref)

Abstract

The scalar mass is determined in the simplest cut-off regularized Yukawa-model in the whole range of stability of the scalar potential. Two versions of the Functional Renormalisation Group (FRG) equations are solved in the Local Potential Approximation (LPA), where also the possible existence of a composite fermionic background is taken into account. The close agreement of the results with previous studies taking into account exclusively the effect of the scalar condensate, supports a rather small systematic truncation error of FRG due to the omission of higher dimensional operators.

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