Pion decay constant, ZA and chiral log from overlap fermions

Shao Jing Dong; T. Draper; I. Horváth; F. X. Lee; J. B. Zhang

doi:10.1016/S0920-5632(01)01708-X

Pion decay constant, Z_A and chiral log from overlap fermions

Shao Jing Dong, T. Draper, I. Horváth, F. X. Lee, J. B. Zhang

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We report our calculation of the pion decay constant f_π, the axial renormalization constant Z_A, and the quenched chiral logarithms from the overlap fermions. The calculation is done on a quenched 20⁴ lattice at a = 0.148 fm using tree level tadpole improved gauge action. The smallest pion mass we reach is about 280 MeV. The lattice size is about 4 times the Compton wavelength of the lowest mass pion.

Original language	English
Pages (from-to)	341-343
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	106-107
DOIs	https://doi.org/10.1016/S0920-5632(01)01708-X
State	Published - Mar 2002

Bibliographical note

Funding Information:
extends to a fairly long distance in the time separation. We obtain the axial renormalization constant, ZA = 0.1589(4), being fairly independent of moa. The renormalized f~ gives a = 0.148fm and the physical lattice size is about 4 times the Compton wavelength of the lowest mass pion. We have observed quenched chiral log in the fR data set, with 6 about 0.4. This work is partially supported by DOE Grants DE-FG05-84ER40154 and DE-FG02-95ER40907.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

Access to Document

10.1016/S0920-5632(01)01708-X

Cite this

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title = "Pion decay constant, ZA and chiral log from overlap fermions",

abstract = "We report our calculation of the pion decay constant fπ, the axial renormalization constant ZA, and the quenched chiral logarithms from the overlap fermions. The calculation is done on a quenched 204 lattice at a = 0.148 fm using tree level tadpole improved gauge action. The smallest pion mass we reach is about 280 MeV. The lattice size is about 4 times the Compton wavelength of the lowest mass pion.",

author = "Dong, {Shao Jing} and T. Draper and I. Horv{\'a}th and Lee, {F. X.} and Zhang, {J. B.}",

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language = "English",

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AU - Draper, T.

AU - Horváth, I.

AU - Lee, F. X.

AU - Zhang, J. B.

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AB - We report our calculation of the pion decay constant fπ, the axial renormalization constant ZA, and the quenched chiral logarithms from the overlap fermions. The calculation is done on a quenched 204 lattice at a = 0.148 fm using tree level tadpole improved gauge action. The smallest pion mass we reach is about 280 MeV. The lattice size is about 4 times the Compton wavelength of the lowest mass pion.

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