%0 Journal Article %1 Ellwanger:1994iz %A Ellwanger, Ulrich %D 1994 %J Phys. Lett. %K FRG GaugeSymmetry GaugeTheory RGFlow Symmetry %P 364-370 %R 10.1016/0370-2693(94)90365-4 %T Flow equations and BRS invariance for Yang-Mills theories %U http://www.slac.stanford.edu/spires/find/hep/www?irn=2899442 %V B335 %X Abstract: Flow equations describe the evolution of the effective action $\Gamma_k$ in the process of varying an infrared cutoff $k$. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee the BRS invariance of $\Gamma_k$ for $k\to0$, and hence allow the study of non-abelian gauge theories by integrating the flow equations. Within a perturbative expansion of $\Gamma_k$, we derive an equation for a $k$ dependent mass term for the gauge fields implied by the modified Slavnov-Taylor identities.

@article{Ellwanger:1994iz, abstract = { Abstract: Flow equations describe the evolution of the effective action $\Gamma_k$ in the process of varying an infrared cutoff $k$. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee the BRS invariance of $\Gamma_k$ for $k\to0$, and hence allow the study of non-abelian gauge theories by integrating the flow equations. Within a perturbative expansion of $\Gamma_k$, we derive an equation for a $k$ dependent mass term for the gauge fields implied by the modified Slavnov-Taylor identities. }, added-at = {2009-03-12T10:20:06.000+0100}, archiveprefix = {arXiv}, author = {Ellwanger, Ulrich}, biburl = {https://www.bibsonomy.org/bibtex/2302b0a0d373601fa7747df19855cec79/gber}, description = {SPIRES-HEP: FIND IRN 2899442}, doi = {10.1016/0370-2693(94)90365-4}, eprint = {hep-th/9402077}, interhash = {89f8c2509f49ea122d7d389db3be05ea}, intrahash = {302b0a0d373601fa7747df19855cec79}, journal = {Phys. Lett.}, keywords = {FRG GaugeSymmetry GaugeTheory RGFlow Symmetry}, pages = {364-370}, slaccitation = {%%CITATION = HEP-TH/9402077;%%}, timestamp = {2009-03-12T10:20:06.000+0100}, title = {{Flow equations and BRS invariance for Yang-Mills theories}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?irn=2899442}, volume = {B335}, year = 1994 }