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Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance ComputingLecture Notes of the Les Houches Summer School: Volume 93, August 2009$
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Laurent Lellouch, Rainer Sommer, Benjamin Svetitsky, Anastassios Vladikas, and Leticia F. Cugliandolo

Print publication date: 2011

Print ISBN-13: 9780199691609

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199691609.001.0001

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Non-perturbative heavy quark effective theory

Non-perturbative heavy quark effective theory

(p.516) (p.517) 9 Non-perturbative heavy quark effective theory
Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Rainer Sommer

Oxford University Press

This chapter describes a heuristic derivation of the HQET Lagrangian from continuum QCD and discusses the renormalization of the effective field theory. A lattice discretization is introduced including its Symanzik improvement and renormalization. Matching of the effective theory to QCD is first explained in perturbation theory in the QCD coupling as well as subsequently on a non-perturbative level. The inclusion of 1/M corrections, their renormalization and practical implementation is discussed in detail. The chapter finishes with the description of a practical method for non-perturbative matching of HQET to QCD and examples of results.

Keywords:   Effective field theory, renormalization, discretization, Symanzik improvement, non-perturbative matching, 1/m, corrections

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