首页 | 本学科首页   官方微博 | 高级检索  
     


Lattice cut-off effects and their reduction in studies of QCD thermodynamics at non-zero temperature and chemical potential
Authors:P. Hegde  F. Karsch  E. Laermann  S. Shcheredin
Affiliation:1.Department of Physics and Astronomy,Stony Brook University,Stony Brook,USA;2.Physics Department,Brookhaven National Laboratory,Upton,USA;3.Fakult?t für Physik,Universit?t Bielefeld,Bielefeld,Germany
Abstract:We clarify the relation between the improvement of dispersion relations in the fermion sector of lattice regularized QCD and the improvement of bulk thermodynamic observables. We show that in the infinite temperature limit the cut-off dependence in dispersion relations can be eliminated up to $mathcal{O}$(an) corrections, if the quark propagator is chosen to be rotationally invariant up to this order. In bulk thermodynamic observables this eliminates cut-off effects up to the same order at vanishing as well as non-vanishing chemical potential. We furthermore show that in the infinite temperature, ideal gas limit the dependence of finite cut-off corrections on the chemical potential is given by Bernoulli polynomials which are universal as they do not depend on a particular discretization scheme. We explicitly calculate leading and next-to-leading order cut-off corrections for some staggered and Wilson fermion type actions and compare these with exact evaluations of the free fermion partition functions. This also includes the chirally invariant overlap and domain wall fermion formulations. PACS  11.15.Ha; 11.10.Wx; 12.38.Gc; 12.38.Mh
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号