Published February 2018 | Version v1
Journal article

BPHZ renormalization in configuration space for the A4-model

  • 1. Max-Planck-Institute for Mathematics in the Sciences, Inselstraße 22, D-04103 Leipzig (Germany)
  • 2. Institut für Theoretische Physik, Universität Leipzig, Postfach 100920, D-04009 Leipzig (Germany)

Description

Recent developments for BPHZ renormalization performed in configuration space are reviewed and applied to the model of a scalar quantum field with quartic self-interaction. An extension of the results regarding the short-distance expansion and the Zimmermann identity is shown for a normal product, which is quadratic in the field operator. The realization of the equation of motion is computed for the interacting field and the relation to parametric differential equations is indicated.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2017.12.020

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2017.12.020;
arXiv
arXiv:1709.10194v1;
PII
S055032131730411X;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
927
Journal Page Range
p. 274-293
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51048444
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
EQUATIONS OF MOTION; FIELD OPERATORS; RENORMALIZATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS

Optional Information

Notes
© 2017 The Author(s). Published by Elsevier B.V.