This book introduces the lattice approach to quantum field theory.
The spectacular successes of this technique include compelling
evidence that exchange of gauge gluons can confine the quarks
within subnuclear matter. The lattice framework enables novel
schemes for quantitative calculation and has caused considerable
cross-disciplinary activity between elementary particle and solid
state physicists. The treatment begins with the lattice definition
of a path integral and ends on Monte Carlo simulation methods.
Other topics include invariant group integration, duality, mean
field theory and renormalization group techniques. The reader is
assumed to have a basic background in relativistic quantum
mechanics and some exposure to gauge theories.
General
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