Premium
Scale invariance in the causal approach to renormalization theory
Author(s) -
Grigore Dan R.
Publication year - 2001
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200106)10:6/7<473::aid-andp473>3.0.co;2-v
Subject(s) - scale invariance , renormalization , physics , mathematical physics , scalar field theory , logarithm , dilation (metric space) , renormalization group , scalar (mathematics) , functional renormalization group , theoretical physics , mathematics , quantum mechanics , quantum gravity , mathematical analysis , geometry , combinatorics , quantum
The dilation invariance is studied in the framework of Epstein‐Glaser approach to renormalization theory. Some analogues of the Callan‐Symanzik equations are found and they are applied to the scalar field theory and to Yang‐Mills models. We find the interesting result that, if all fields of the theory have zero masses, then from purely cohomological consideration, one can obtain the anomalous terms of logarithmic type.