TY - BOOK AU - Montvay,I AU - Münster,Gernot ED - Cambridge University Press. TI - Quantum fields on a lattice T2 - Cambridge monographs on mathematical physics SN - 0521404320 AV - QC793.3.F5 M66 1994 PY - 1994/// CY - Cambridge [England], New York PB - Cambridge University Press KW - Lattice field theory KW - Quantum field theory KW - Electroweak interactions KW - Gauge fields (Physics) N1 - Includes bibliographical references and index; Contents; Preface ; 1 Introduction ; 1.1 Historical remarks ; 1.2 Path integral in quantum mechanics ; 1.3 Euclidean quantum field theory ; 1.4 Euclidean functional integrals ; 1.5 Quantum field theory on a lattice ; 1.6 Continuum limit and critical behaviour ; 1.7 Renormalization group equations ; 1.8 Thermodynamics of quantum fields ; 2 Scalar fields ; 2.1 [phi [superscript 4]] model on the lattice ; 2.2 Perturbation theory ; 2.3 Hopping parameter expansions ; 2.4 Luscher-Weisz solution and triviality of the continuum limit ; 2.5 Finite-volume effects ; 2.6 N-component model ; 3 Gauge fields ; 3.1 Continuum gauge fields ; 3.2 Lattice gauge fields and Wilson's action ; 3.3 Perturbation theory ; 3.4 Strong-coupling expansion ; 3.5 Static quark potential ; 3.6 Glueball spectrum ; 3.7 Phase structure of lattice gauge theory ; 4 Fermion fields ; 4.1 Fermionic variables ; 4.2 Wilson fermions ; 4.3 Kogut-Susskind staggered fermions ; 4.4 Nielsen-Ninomiya theorem and mirror fermions ; 4.5 QED on the lattice ; 5 Quantum chromodynamics ; 5.1 Lattice action and continuum limit ; 5.2 Hadron spectrum ; 5.3 Broken chiral symmetry on the lattice ; 5.4 Hadron thermodynamics ; 6 Higgs and Yukawa models ; 6.1 Lattice Higgs models ; 6.2 Lattice Yukawa models ; 7 Simulation algorithms ; 7.1 Numerical simulation and Markov processes ; 7.2 Metropolis algorithms ; 7.3 Heatbath algorithms ; 7.4 Fermions in numerical simulations ; 7.5 Fermion algorithms based on differential equations ; 7.6 Hybrid Monte Carlo algorithms ; 7.7 Cluster algorithms ; 8 Appendix ; 8.1 Notation conventions and basic formulas ; References ; Index ER -