Published 1994 | Version v1
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The Background-Field Method and Noninvariant Renormalization

Description

We investigate the consistency of the background-field formalism when applying various regularizations and renormalization schemes. By an example of a two-dimensional σ model it is demonstrated that the background-field method gives incorrect results when the regularization (and/or renormalization) is noninvariant. In particular, it is found that the cut-off regularization and the differential renormalization belong to this class and are incompatible with the background-field method in theories with nonlinear symmetries. 17 refs

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Additional details

Publishing Information

Imprint Pagination
16 p.
Report number
JINR-E--2-94-388

INIS

Country of Publication
Joint Institute for Nuclear Research (JINR)
Country of Input or Organization
Joint Institute for Nuclear Research (JINR)
INIS RN
26042763
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
FEYNMAN DIAGRAM; NONLINEAR PROBLEMS; RENORMALIZATION; SELF-CONSISTENT FIELD; SIGMA MODEL; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
BOSON-EXCHANGE MODELS; DIAGRAMS; INFORMATION; MATHEMATICAL MODELS; PARTICLE MODELS; PERIPHERAL MODELS

Optional Information

Notes
Submitted to Physics Letters. B.