000 03940mam a2200421 a 4500
001 1450736
003 BD-DhUL
005 20140916130426.0
008 930311s1994 enka b 001 0 eng
010 _a 93001026
020 _a0521404320
020 _a0521599172
035 _a(OCoLC)ocm28221996
035 _a(NNC)1450736
040 _aDLC
_cDLC
_dGZM
_dNNC
_dBD-DhUL
050 0 0 _aQC793.3.F5
_bM66 1994
082 0 0 _a530.143
_220
_bMOQ
100 1 _aMontvay, I.
245 1 0 _aQuantum fields on a lattice /
_cIstván Montvay, Gernot Münster.
260 _aCambridge [England] ;
_aNew York :
_bCambridge University Press,
_cc1994.
300 _axiii, 491 p. :
_bill. ;
_c26 cm.
490 1 _aCambridge monographs on mathematical physics
504 _aIncludes bibliographical references (p. 443-485) and index.
505 0 _a1. 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.
505 0 _a5. 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.
520 _aThis book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and electroweak nuclear interactions.
520 8 _aQuantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. Quantum fields exist in space and time, which can be approximated by a set of lattice points. This approximation allows the application of powerful analytical and numerical techniques, and has provided a powerful tool for the study of both the strong and the electroweak interaction.
520 8 _aAfter introductory chapters on scalar fields, gauge fields and fermion fields, the book studies quarks and gluons in QCD and fermions and bosons in the electroweak theory. The last chapter is devoted to numerical simulation algorithms which have been used in recent large-scale numerical simulations.
520 8 _a. This book will be valuable for graduate students and researchers in theoretical physics, elementary particle physics, and field theory, interested in non-perturbative approximations and numerical simulations of quantum field phenomena.
650 0 _aLattice field theory.
650 0 _aQuantum field theory.
650 0 _aElectroweak interactions.
650 0 _aGauge fields (Physics)
700 1 _aMünster, Gernot.
830 0 _aCambridge monographs on mathematical physics.
900 _aAUTH
942 _2ddc
_cBK
999 _c10901
_d10901