Abstract: We present a method to solve the master equation for the Wilsonian action in the antifield formalism. This is based on a representation theory for cutoff dependent global symmetries along the Wilsonian renormalization group (RG) flow. For the chiral symmetry, the master equation for the free theory yields a continuum version of the Ginsparg-Wilson relation. We construct chiral invariant operators describing fermionic self-interactions. The use of canonically transformed variables is shown to simplify the underlying algebraic structure of the symmetry. We also give another non-trivial example, a realization of SU(2) vector symmetry. Our formalism may be used for a non-perturbative truncation of the Wilsonian action preserving global symmetries.
%0 Journal Article
%1 Igarashi:2001cv
%A Igarashi, Yuji
%A Itoh, Katsumi
%A So, Hiroto
%D 2002
%J Phys. Lett.
%K FRG RGFlow Symmetry
%P 164-172
%R 10.1016/S0370-2693(01)01461-7
%T Realization of global symmetries in the Wilsonian
renormalization group
%U http://www.slac.stanford.edu/spires/find/hep/www?irn=4775724
%V B526
%X Abstract: We present a method to solve the master equation for the Wilsonian action in the antifield formalism. This is based on a representation theory for cutoff dependent global symmetries along the Wilsonian renormalization group (RG) flow. For the chiral symmetry, the master equation for the free theory yields a continuum version of the Ginsparg-Wilson relation. We construct chiral invariant operators describing fermionic self-interactions. The use of canonically transformed variables is shown to simplify the underlying algebraic structure of the symmetry. We also give another non-trivial example, a realization of SU(2) vector symmetry. Our formalism may be used for a non-perturbative truncation of the Wilsonian action preserving global symmetries.
@article{Igarashi:2001cv,
abstract = { Abstract: We present a method to solve the master equation for the Wilsonian action in the antifield formalism. This is based on a representation theory for cutoff dependent global symmetries along the Wilsonian renormalization group (RG) flow. For the chiral symmetry, the master equation for the free theory yields a continuum version of the Ginsparg-Wilson relation. We construct chiral invariant operators describing fermionic self-interactions. The use of canonically transformed variables is shown to simplify the underlying algebraic structure of the symmetry. We also give another non-trivial example, a realization of SU(2) vector symmetry. Our formalism may be used for a non-perturbative truncation of the Wilsonian action preserving global symmetries. },
added-at = {2009-03-12T10:56:48.000+0100},
archiveprefix = {arXiv},
author = {Igarashi, Yuji and Itoh, Katsumi and So, Hiroto},
biburl = {https://www.bibsonomy.org/bibtex/2f3983d485bdebfcc4d9862bc2e2a6341/gber},
description = {SPIRES-HEP: FIND IRN 4775724},
doi = {10.1016/S0370-2693(01)01461-7},
eprint = {hep-th/0111112},
interhash = {ce86d88aa54c94a8954e288e8db82a24},
intrahash = {f3983d485bdebfcc4d9862bc2e2a6341},
journal = {Phys. Lett.},
keywords = {FRG RGFlow Symmetry},
pages = {164-172},
slaccitation = {%%CITATION = HEP-TH/0111112;%%},
timestamp = {2009-03-12T10:56:48.000+0100},
title = {{Realization of global symmetries in the Wilsonian
renormalization group}},
url = {http://www.slac.stanford.edu/spires/find/hep/www?irn=4775724},
volume = {B526},
year = 2002
}