Chiral Properties of Pseudoscalar Mesons on a Quenched 20{sup 4} Lattice with Overlap Fermions
Journal Article
·
· Physical Review D
OSTI ID:803505
The chiral properties of the pseudoscalar mesons are studied numerically on a quenched 20{sup 4} lattice with the overlap fermion. We elucidate the role of the zero modes in the meson propagators, particularly that of the pseudoscalar meson. The non-perturbative renormalization constant Z{sub A} is determined from the axial Ward identity and the pion decay constants f{sub {pi}} is calculated from which we determine the lattice spacing to be 0.157 fm.. We look for quenched chiral log in the pseudoscalar decay constants and the pseudoscalar masses for both equal and unequal quark masses. We find that, given limited statistics, it is difficult to see quenched logs in pseudoscalar masses with equal or unequal quark masses. Whereas, it is relatively clear to see them in the pseudoscalar matrix element and the ratio of the pseudoscalar matrix element to f{sub {pi}}. The chiral log parameter delta turns out to be consistent with that predicted from quenched chiral perturbative theory.
- Research Organization:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 803505
- Report Number(s):
- JLAB-THY-01-52; DOE/ER/40150-2310
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Vol. 65
- Country of Publication:
- United States
- Language:
- English
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