The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD

The heavy quark self-energy in nonrelativistic lattice QCD is calculated to \(O(\alpha_s)\) in perturbation theory. An action which includes all spin-independent relativistic corrections to order \(v^2\), where \(v\) is the typical heavy quark velocity, and all spin-dependent corrections to order \(...

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Published in:arXiv.org 1993-01
Main Author: Morningstar, Colin J
Format: Article
Language:English
Subjects:
Gluons
Mathematical analysis
Perturbation methods
Perturbation theory
Quantum chromodynamics
Quarks
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description The heavy quark self-energy in nonrelativistic lattice QCD is calculated to \(O(\alpha_s)\) in perturbation theory. An action which includes all spin-independent relativistic corrections to order \(v^2\), where \(v\) is the typical heavy quark velocity, and all spin-dependent corrections to order \(v^4\) is used. The standard Wilson action and an improved multi-plaquette action are used for the gluons. Results for the mass renormalization, wavefunction renormalization, and energy shift are given; tadpole contributions are found to be large. A tadpole improvement scheme in which all link variables are rescaled by a mean-field factor is also studied. The effectiveness of this scheme in offsetting the large tadpole contributions to the heavy quark renormalization parameters is demonstrated.
doi_str_mv 10.48550/arxiv.9301005
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subjects Gluons
Mathematical analysis
Perturbation methods
Perturbation theory
Quantum chromodynamics
Quarks
title The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD
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