%0 Journal Article %1 Igarashi:2002zz %A Igarashi, Hiroshi %A Okuyama, Kiyoshi %A Suzuki, Hiroshi %D 2002 %J Nucl. Phys. %K Anomaly GinspargWilson GinspargWilsonGeneralisation Lattice RGFlow %P 383-394 %R 10.1016/S0550-3213(02)00812-X %T More about the axial anomaly on the lattice %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0206003 %V B644 %X Abstract: We study the axial anomaly defined on a finite-size lattice by using a Dirac operator which obeys the Ginsparg-Wilson relation. When the gauge group is U(1), we show that the basic structure of axial anomaly on the infinite lattice, which can be deduced by a cohomological analysis, persists even on (sufficiently large) finite-size lattices. For non-abelian gauge groups, we propose a conjecture on a possible form of axial anomaly on the infinite lattice, which holds to all orders in perturbation theory. With this conjecture, we show that a structure of the axial anomaly on finite-size lattices is again basically identical to that on the infinite lattice. Our analysis with the Ginsparg-Wilson Dirac operator indicates that, in appropriate frameworks, the basic structure of axial anomaly is quite robust and it persists even in a system with finite ultraviolet and infrared cutoffs.

@article{Igarashi:2002zz, abstract = { Abstract: We study the axial anomaly defined on a finite-size lattice by using a Dirac operator which obeys the Ginsparg-Wilson relation. When the gauge group is U(1), we show that the basic structure of axial anomaly on the infinite lattice, which can be deduced by a cohomological analysis, persists even on (sufficiently large) finite-size lattices. For non-abelian gauge groups, we propose a conjecture on a possible form of axial anomaly on the infinite lattice, which holds to all orders in perturbation theory. With this conjecture, we show that a structure of the axial anomaly on finite-size lattices is again basically identical to that on the infinite lattice. Our analysis with the Ginsparg-Wilson Dirac operator indicates that, in appropriate frameworks, the basic structure of axial anomaly is quite robust and it persists even in a system with finite ultraviolet and infrared cutoffs. }, added-at = {2009-03-19T00:41:15.000+0100}, archiveprefix = {arXiv}, author = {Igarashi, Hiroshi and Okuyama, Kiyoshi and Suzuki, Hiroshi}, biburl = {https://www.bibsonomy.org/bibtex/29ef643d92772b3d3c11bbad9e4bf55c6/gber}, description = {SPIRES-HEP: FIND EPRINT HEP-LAT/0206003}, doi = {10.1016/S0550-3213(02)00812-X}, eprint = {hep-lat/0206003}, interhash = {27b7db2f4ef1c658874d3e6c28f345f1}, intrahash = {9ef643d92772b3d3c11bbad9e4bf55c6}, journal = {Nucl. Phys.}, keywords = {Anomaly GinspargWilson GinspargWilsonGeneralisation Lattice RGFlow}, pages = {383-394}, slaccitation = {%%CITATION = HEP-LAT/0206003;%%}, timestamp = {2009-03-19T00:41:15.000+0100}, title = {{More about the axial anomaly on the lattice}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0206003}, volume = {B644}, year = 2002 }