Renormalization of Bilinear Quark Operators for Overlap Fermions

Thomas DeGrand; Zhaofeng Liu

doi:10.1103/PhysRevD.72.054508

Renormalization of Bilinear Quark Operators for Overlap Fermions

High Energy Physics - Lattice 2009-11-11 v1

Authors: Thomas DeGrand , Zhaofeng Liu

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Abstract

We present non-perturbative renormalization constants of fermionic bilinears on the lattice in the quenched approximation at beta=6.1 using an overlap fermion action with hypercubic(HYP)-blocked links. We consider the effects of the exact zero modes of the Dirac operator and find they are important in calculating the renormalization constants of the scalar and pseudoscalar density. The results are given in the RI' and MS bar schemes and compared to the perturbative calculations.

Keywords

overlap fermions renormalization constants bilinear operators zero modes RI' scheme MS bar scheme quenched approximation

Cite

@article{arxiv.hep-lat/0507017,
  title  = {Renormalization of Bilinear Quark Operators for Overlap Fermions},
  author = {Thomas DeGrand and Zhaofeng Liu},
  journal= {arXiv preprint arXiv:hep-lat/0507017},
  year   = {2009}
}

Comments

14 pages, 13 figures

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