LATTICE FIELD THEORIES

Halliday, I.G.

doi:10.1088/0034-4885/47/8/003

LATTICE FIELD THEORIES

I.G. Halliday
(
- Imperial Coll., London
)

Jul, 1983

158 pages

Published in:

Rept.Prog.Phys. 47 (1984) 987

DOI:

10.1088/0034-4885/47/8/003

Report number:

ICTP-82-83-23

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Abstract: (IOP)

The use of lattice approximations to study relativistic quantum field theories is surveyed. The models for scalar, gauge and fermionic degrees of freedom are defined. The standard methods for analytic study of these models using strong coupling, duality and mean field methods are outlined. The important area of numerical Monte Carlo simulations is also studied. These methods are used in the study of quantum chromodynamics in detail, including its spectrum. The arguments leading to the 'proof' that phi 4 is trivial theory are presented.

REVIEW
LATTICE FIELD THEORY: EUCLIDEAN
MODEL: SPIN
SPIN: MODEL
GAUGE FIELD THEORY: YANG-MILLS
field theory: scalar
FERMION: LATTICE FIELD THEORY
EXPANSION: WEAK COUPLING
WEAK COUPLING: EXPANSION
EXPANSION: STRONG COUPLING

References(173)

Figures(0)

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