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Title: Nonperturbative renormalization of composite operators with overlap fermions

Abstract

We compute nonperturbatively the renormalization constants of composite operators on a quenched 16{sup 3}x28 lattice with lattice spacing a=0.20 fm for the overlap fermion by using the regularization-independent (RI) scheme. The quenched gauge configurations were generated with the Iwasaki action. We test the relations Z{sub A}=Z{sub V} and Z{sub S}=Z{sub P} and find that they agree well (less than 1%) above {mu}=1.6 GeV. We also perform a Renormalization Group (RG) analysis at the next-to-next-to-leading order and match the renormalization constants to the MS scheme. The wave function renormalization Z{sub {psi}} is determined from the vertex function of the axial current and Z{sub A} from the chiral Ward identity. Finally, we examine the finite quark mass behavior for the renormalization factors of the quark bilinear operators. We find that the (pa){sup 2} errors of the vertex functions are small and the quark mass dependence of the renormalization factors to be quite weak.

Authors:
 [1];  [2];  [3];  [4]; ; ; ;  [3];  [5]; ;  [6]
  1. Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027 (China)
  2. (Australia)
  3. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)
  4. (United States)
  5. Center for Nuclear Studies, Department of Physics, George Washington University, Washington, D.C. 20052 (United States)
  6. Special Research Center for the Subatomic Structure of Matter and Department of Physics, University of Adelaide, Adelaide, SA 5005 (Australia)
Publication Date:
OSTI Identifier:
20774450
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.72.114509; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRAIC CURRENTS; CHIRALITY; GAUGE INVARIANCE; GEV RANGE; LATTICE FIELD THEORY; QUANTUM CHROMODYNAMICS; QUARKS; RENORMALIZATION; REST MASS; VERTEX FUNCTIONS; WARD IDENTITY; WAVE FUNCTIONS

Citation Formats

Zhang, J.B., Special Research Center for the Subatomic Structure of Matter and Department of Physics, University of Adelaide, Adelaide, SA 5005, Mathur, N., Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606, Dong, S.J., Draper, T., Horvath, I., Liu, K.F., Lee, F.X., Leinweber, D.B., and Williams, A.G.. Nonperturbative renormalization of composite operators with overlap fermions. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.114509.
Zhang, J.B., Special Research Center for the Subatomic Structure of Matter and Department of Physics, University of Adelaide, Adelaide, SA 5005, Mathur, N., Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606, Dong, S.J., Draper, T., Horvath, I., Liu, K.F., Lee, F.X., Leinweber, D.B., & Williams, A.G.. Nonperturbative renormalization of composite operators with overlap fermions. United States. doi:10.1103/PhysRevD.72.114509.
Zhang, J.B., Special Research Center for the Subatomic Structure of Matter and Department of Physics, University of Adelaide, Adelaide, SA 5005, Mathur, N., Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606, Dong, S.J., Draper, T., Horvath, I., Liu, K.F., Lee, F.X., Leinweber, D.B., and Williams, A.G.. Thu . "Nonperturbative renormalization of composite operators with overlap fermions". United States. doi:10.1103/PhysRevD.72.114509.
@article{osti_20774450,
title = {Nonperturbative renormalization of composite operators with overlap fermions},
author = {Zhang, J.B. and Special Research Center for the Subatomic Structure of Matter and Department of Physics, University of Adelaide, Adelaide, SA 5005 and Mathur, N. and Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606 and Dong, S.J. and Draper, T. and Horvath, I. and Liu, K.F. and Lee, F.X. and Leinweber, D.B. and Williams, A.G.},
abstractNote = {We compute nonperturbatively the renormalization constants of composite operators on a quenched 16{sup 3}x28 lattice with lattice spacing a=0.20 fm for the overlap fermion by using the regularization-independent (RI) scheme. The quenched gauge configurations were generated with the Iwasaki action. We test the relations Z{sub A}=Z{sub V} and Z{sub S}=Z{sub P} and find that they agree well (less than 1%) above {mu}=1.6 GeV. We also perform a Renormalization Group (RG) analysis at the next-to-next-to-leading order and match the renormalization constants to the MS scheme. The wave function renormalization Z{sub {psi}} is determined from the vertex function of the axial current and Z{sub A} from the chiral Ward identity. Finally, we examine the finite quark mass behavior for the renormalization factors of the quark bilinear operators. We find that the (pa){sup 2} errors of the vertex functions are small and the quark mass dependence of the renormalization factors to be quite weak.},
doi = {10.1103/PhysRevD.72.114509},
journal = {Physical Review. D, Particles Fields},
number = 11,
volume = 72,
place = {United States},
year = {Thu Dec 01 00:00:00 EST 2005},
month = {Thu Dec 01 00:00:00 EST 2005}
}