%0 Journal Article %1 Bonanno:2000yp %A Bonanno, Alfio %A Zappala, Dario %D 2001 %J Phys. Lett. %K CriticalExponents FRG RGFlow Renormalisation %P 181-187 %R 10.1016/S0370-2693(01)00273-8 %T Towards an accurate determination of the critical exponents with the renormalization group flow equations %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-th/0010095 %V B504 %X Abstract: The determination of the critical exponents by means of the Exact Renormalizion Group approach is still a topic of debate. The general flow equation is by construction scheme independent, but the use of the truncated derivative expansion generates a model dependence in the determination of the universal quantities. We derive new nonperturbative flow equations for the one-component, $Z_2$ symmetric scalar field to the next-to-leading order of the derivative expansion by means of a class of proper time regulators. The critical exponents $\eta$, $\nu$ and $ømega$ for the Wilson-Fisher fixed point are computed by numerical integration of the flow equations, without resorting to polynomial truncations. We show that by reducing the width of the cut-off employed, the critical exponents become rapidly insensitive to the cut-off width and their values are in good agreement with the results of entirely different approaches.

@article{Bonanno:2000yp, abstract = { Abstract: The determination of the critical exponents by means of the Exact Renormalizion Group approach is still a topic of debate. The general flow equation is by construction scheme independent, but the use of the truncated derivative expansion generates a model dependence in the determination of the universal quantities. We derive new nonperturbative flow equations for the one-component, $Z_2$ symmetric scalar field to the next-to-leading order of the derivative expansion by means of a class of proper time regulators. The critical exponents $\eta$, $\nu$ and $\omega$ for the Wilson-Fisher fixed point are computed by numerical integration of the flow equations, without resorting to polynomial truncations. We show that by reducing the width of the cut-off employed, the critical exponents become rapidly insensitive to the cut-off width and their values are in good agreement with the results of entirely different approaches. }, added-at = {2009-04-24T12:46:28.000+0200}, archiveprefix = {arXiv}, author = {Bonanno, Alfio and Zappala, Dario}, biburl = {https://www.bibsonomy.org/bibtex/2e9cd29ab72341375eef0e4da6d9b6056/gber}, description = {SPIRES-HEP: FIND EPRINT HEP-TH/0010095}, doi = {10.1016/S0370-2693(01)00273-8}, eprint = {hep-th/0010095}, interhash = {8562866c07be4124818afb0247e0ded0}, intrahash = {e9cd29ab72341375eef0e4da6d9b6056}, journal = {Phys. Lett.}, keywords = {CriticalExponents FRG RGFlow Renormalisation}, pages = {181-187}, slaccitation = {%%CITATION = HEP-TH/0010095;%%}, timestamp = {2009-04-24T12:46:28.000+0200}, title = {{Towards an accurate determination of the critical exponents with the renormalization group flow equations}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-th/0010095}, volume = {B504}, year = 2001 }