Nonperturbative Renormalization of Composite Operators with Overlap Fermions

Journal Article · Thu Dec 01 04:00:00 EST 2005 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.72.114509· OSTI ID:876408

Zhang, J B; Mathur, N; Dong, S J; Draper, T; Horvath, I; Lee, F X; Leinweber, D B; Liu, K F; Williams, A G

We compute non-perturbatively the renormalization constants of composite operators on a quenched 16{sup 3} x 28 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 {ovr 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.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA
• Sponsoring Organization: USDOE - Office of Energy Research (ER)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 876408
• Report Number(s): JLAB-THY-05-15; DOE/ER/40150-3752; hep-lat/0507022
• Journal Information: Physical Review D, Journal Name: Physical Review D Vol. 72
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
QUARKS
RENORMALIZATION
VERTEX FUNCTIONS
WARD IDENTITY