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Local potential approximation for the renormalization group flow of fermionic field theories

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arxiv 1306.2660 v3 pith:WMKTFRWK submitted 2013-06-11 hep-th hep-ph

A. Jakovac , A. Patkos This is my paper · ORCID
classification hep-thhep-ph
keywords potentialeffectiveapproximationfermionicfieldflowlocalmodel
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abstract

The second functional derivative of the effective potential of pure fermionic field theories is rewritten in a factorized form which facilitates the evaluation of the renormalisation flow rate of the effective action in the Wetterich equation. It is applied to the Local Potential Approximation in cases, when the effective potential depends on scalar composites built from the fermions. The procedure is demonstrated explicitly on the example of the $N_f$-flavor Gross-Neveu model and the one-flavor chiral Nambu--Jona-Lasinio model.

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  1. Fermions and the Renormalisation Group at Large N

    hep-th 2025-02 conditional novelty 7.0 of 10

    At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.

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