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El. knyga: Lattice Gauge Theories: An Introduction

(Univ Heidelberg, Germany)
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This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.
The path integral approach to quantization; the free scalar field on the
lattice; fermions on the lattice; Abelian gauge fields on the lattice and
compact QED; non Abelian gauge fields on the lattice and compact QCD; the
Wilson-Wegner loop and the static Quark-Antiquark potential; the QQ-potential
in some simple models; the continuum limit of lattice QCD; the strong
coupling expansion; the weak coupling expansion I - the ph4-theory; weak
coupling expansion II - lattice QED; weak coupling expansion III - lattice
QCD; the hopping parameter expansion; Monte Carlo methods; some Monte Carlo
results in quenched QCD; some recent MC results in full QCD; an introduction
to finite temperature continuum field theory - the ph4-theory; lattice
formulation of QCD at finite temperature; MC study of the deconfinement phase
transition; the high temperature phase of QCD.