Exact scheme independence at one loop | Zendy

Stefano Ar | Zendy; Antonio Gatti | Zendy; Tim R. Morris | Zendy

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Exact scheme independence at one loop

Author(s) -

Stefano Ar,

Antonio Gatti,

Tim R. Morris

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/05/059

Subject(s) - mathematics , renormalization group , kernel (algebra) , renormalization , scalar (mathematics) , invariant (physics) , scalar field theory , partition function (quantum field theory) , quantum field theory , effective action , functional renormalization group , scalar field , mathematical physics , pure mathematics , discrete mathematics , quantum , physics , quantum mechanics , quantum gravity , geometry

The requirement that the quantum partition function be invariant under arenormalization group transformation results in a wide class of exactrenormalization group equations, differing in the form of the kernel. Physicalquantities should not be sensitive to the particular choice of the kernel. Wedemonstrate this scheme independence in four dimensional scalar field theory byshowing that, even with a general kernel, the one-loop beta function may beexpressed only in terms of the effective action vertices, and thus, under verygeneral conditions, the universal result is recovered.Comment: 13 pages, no figures, version to appear in JHEP, includes some minor correction

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