Decay constants with Wilson fermions at beta = 6

Bhattacharya, Tanmoy; Gupta, Rajan

doi:10.1103/PhysRevD.54.1155

Decay constants with Wilson fermions at beta = 6

Tanmoy Bhattacharya
(
- Los Alamos
)
,
Rajan Gupta
(
- Los Alamos
)

Oct, 1995

26 pages

Published in:

Phys.Rev.D 54 (1996) 1155-1166

e-Print:

hep-lat/9510044 [hep-lat]

DOI:

10.1103/PhysRevD.54.1155

Report number:

LA-UR-95-2355

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Abstract:

We present results of a high statistics study of

f_\pi

,

f_K

,

f_D

,

f_{D_s}

, and

f_V^{-1}

in the quenched approximation using Wilson fermions at

\beta=6.0

on

32^3 \times 64

lattices. We find that the various sources of systematic errors (due to setting the quark masses, renormalization constant, and lattice scale) are now larger than the statistical errors. Our best estimates, without extrapolation to the continuum limit, are f_\pi=134(4) \MeV, f_K =159(3) \MeV, f_D = 229(7) \MeV, f_{D_s} = 260(4) \MeV, and

f_V^{-1}(m_\rho) = 0.33(1)

, where only statistical errors have been shown. We discuss the extrapolation to the continuum limit by combining our data with those from other collaborations.

12.38.Gc
13.25.-k
gauge field theory: SU(3)
fermion: lattice field theory
approximation: quenching
pi: decay constant
decay constant: pi
K: decay constant
decay constant: K
D: decay constant

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