Nonperturbative renormalisation of composite operators with overlap quarks

Copyright © 2004 Published by Elsevier B.V. Printed in U.S.A. Submitted to Cornell University’s online archive www.arXiv.org in 2004 by Jianbo Zhang. Post-print sourced from www.arxiv.org.We compute non-perturbatively the renormalisation constants of composite operators on a $16^3 \times 32 $ lattice with lattice spacing $a$ = 0.093 fm for the overlap fermion action by using the regularisation independent (RI) scheme. The quenched gauge configurations are generated by tadpole improved plaquette plus rectangle action. We test the perturbative continuum relation $Z_A = Z_V$ and $ Z_S=Z_P$ and find that they agree well above $\mu$ = 1.6 GeV. We also perform a Renormalisation Group analysis at the next-to-next-to-leading order and convert the renormalisation constants to the $\bar{MS}$ scheme.J.B. Zhang, D.B. Leinweber, K.F. Liu and A.G. Williamshttp://www.elsevier.com/wps/find/journaldescription.cws_home/505717/description#descriptio