%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 }