Nonperturbative renormalisation of composite operators with overlap quarks

Abstract

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 $\overline{MS}$ scheme.

Talk given at LHP2003, Cairns, Australia

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Cited by in corpus (9)

• A study of pentaquarks on the lattice with overlap fermions
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Nonperturbative renormalization of composite operators with overlap fermions
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD
• Bilinear quark operator renormalization at generalized symmetric point