Abstract: Lattice power-counting is extended to QCD with staggered fermions. As preparation, the difficulties encountered by Reisz's original formulation of the lattice power-counting theorem are illustrated. One of the assumptions that is used in his proof does not hold for staggered fermions, as was pointed out long ago by Luscher. Finally, I generalize the power-counting theorem, and the methods of Reisz's proof, such that the difficulties posed by staggered fermions are overcome.
%0 Journal Article
%1 Giedt:2006ib
%A Giedt, Joel
%D 2007
%J Nucl. Phys.
%K Lattice LatticePerturbationTheory Renormalisation StaggeredFermion
%P 134-158
%R 10.1016/j.nuclphysb.2007.05.012
%T Power-counting theorem for staggered fermions
%U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0606003
%V B782
%X Abstract: Lattice power-counting is extended to QCD with staggered fermions. As preparation, the difficulties encountered by Reisz's original formulation of the lattice power-counting theorem are illustrated. One of the assumptions that is used in his proof does not hold for staggered fermions, as was pointed out long ago by Luscher. Finally, I generalize the power-counting theorem, and the methods of Reisz's proof, such that the difficulties posed by staggered fermions are overcome.
@article{Giedt:2006ib,
abstract = { Abstract: Lattice power-counting is extended to QCD with staggered fermions. As preparation, the difficulties encountered by Reisz's original formulation of the lattice power-counting theorem are illustrated. One of the assumptions that is used in his proof does not hold for staggered fermions, as was pointed out long ago by Luscher. Finally, I generalize the power-counting theorem, and the methods of Reisz's proof, such that the difficulties posed by staggered fermions are overcome. },
added-at = {2009-04-06T21:13:55.000+0200},
archiveprefix = {arXiv},
author = {Giedt, Joel},
biburl = {https://www.bibsonomy.org/bibtex/2f347db4fa984200a85e88efdc20cf4f1/gber},
description = {SPIRES-HEP: FIND EPRINT HEP-LAT/0606003},
doi = {10.1016/j.nuclphysb.2007.05.012},
eprint = {hep-lat/0606003},
interhash = {a8d8eda7280b0844751e57eb96e1ae33},
intrahash = {f347db4fa984200a85e88efdc20cf4f1},
journal = {Nucl. Phys.},
keywords = {Lattice LatticePerturbationTheory Renormalisation StaggeredFermion},
pages = {134-158},
slaccitation = {%%CITATION = HEP-LAT/0606003;%%},
timestamp = {2009-04-06T21:13:55.000+0200},
title = {{Power-counting theorem for staggered fermions}},
url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0606003},
volume = {B782},
year = 2007
}