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Exact scheme independence
Author(s) -
José I. Latorre,
Tim R. Morris
Publication year - 2000
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 - 10.1088/1126-6708/2000/11/004
Subject(s) - renormalization group , covariant transformation , quantum field theory , cutoff , renormalization , exact solutions in general relativity , mathematics , independence (probability theory) , mathematical physics , functional renormalization group , simple (philosophy) , physics , connection (principal bundle) , theoretical physics , mathematical analysis , quantum mechanics , geometry , philosophy , epistemology , statistics
Scheme independence of exact renormalization group equations, includingindependence of the choice of cutoff function, is shown to follow from generalfield redefinitions, which remains an inherent redundancy in quantum fieldtheories. Renormalization group equations and their solutions are amenable to asimple formulation which is manifestly covariant under such a symmetry group.Notably, the kernel of the exact equations which controls the integration ofmodes acts as a field connection along the flow.Comment: TeX, harvmac; 15 pages; ref added + last 2 sentences improved. version accepted for jhe

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