Massive fermions in lattice gauge theory
Apr, 199654 pages
Published in:
- Phys.Rev.D 55 (1997) 3933-3957
e-Print:
- hep-lat/9604004 [hep-lat]
Report number:
- FERMILAB-PUB-96-074-T,
- ILL-TH-96-1
Citations per year
Abstract:
This paper presents a formulation of lattice fermions applicable to all quark masses, large and small. We incorporate interactions from previous light-fermion and heavy-fermion methods, and thus ensure a smooth connection to these limiting cases. The couplings in improved actions are evaluated for arbitrary fermion mass, without expansions around small- or large-mass limits. We treat both the action and external currents. By interpreting on-shell improvement criteria through the lattice theory's Hamiltonian, one finds that cutoff artifacts factorize into the form b_n(m_qa)[\vek{p}a]~{s_n}, where \vek{p} is a momentum characteristic of the system under study, is related to the dimension of the th interaction, and is a bounded function, numerically always\order(1) or less. In heavy-quark systems \vek{p} is typically rather smaller than the fermion mass. Therefore, artifacts of order do not arise, even when m_qa\gsim1. An important by-product of our analysis is an interpretation of the Wilson and Sheikholeslami-Wohlert actions applied to nonrelativistic fermions.- 12.38.Gc
- 11.15.Ha
- 12.39.Hg
- gauge field theory
- lattice field theory
- fermion: massive
- massive: fermion
- Feynman graph: higher-order
- coupling
- mass dependence
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