Relativistic Heavy Quark Effective Action

We study the fermion action needed to accurately describe the low energy physics of systems including heavy quarks in lattice QCD even when the heavy fermion mass

m

is on the order of, or larger than, the inverse lattice spacing:

m \ge 1/a

. We carry out an expansion through first order in

|\vec p| a

(where

\vec p

is the heavy quark momentum) and all orders in

ma

, refining the analysis of the Fermilab and Tsukuba groups. We demonstrate that the spectrum of heavy quark bound states can be determined accurately through

|\vec p| a

and

(ma)^n

for arbitrary exponent

n

by using a lattice action containing only three unknown coefficients:

m_0

,

\zeta

and

c_P

(a generalization of

c_{SW}

), which are functions of

ma

. In a companion paper, we show how these three coefficients can be precisely determined using non-perturbative techniques.

12.38.Gc
14.40.-n
11.15.Ha
12.38.Lg
fermion: lattice field theory
quantum chromodynamics
heavy quark
effective action: transformation
quark: mass
bound state: mass spectrum

References(8)

Figures(0)

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•
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•
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•
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