000			03700nam a22003618i 4500
001			CR9780511583971
003			UkCbUP
005			20200124160240.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090612s2002||||enk o ||1 0|eng|d
020			_a9780511583971 (ebook)
020			_z9780521890519 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC174.45 _b.S58 2002
082	0	0	_a530.14/3 _221
100	1		_aSmit, Jan, _d1943- _eauthor.
245	1	0	_aIntroduction to quantum fields on a lattice : _b'a robust mate' / _cJan Smit.
264		1	_aCambridge : _bCambridge University Press, _c2002.
300			_a1 online resource (xii, 271 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge lecture notes in physics ; _v15
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tQED, QCD, and confinement -- _tScalar field -- _tPath-integral and lattice regularization -- _tPath integral in quantum mechanics -- _tRegularization by discretization -- _tAnalytic continuation to imaginary time -- _tSpectrum of the transfer operator -- _tLatticization of the scalar field -- _tTransfer operator for the scalar field -- _tFourier transformation on the lattice -- _tFree scalar field -- _tParticle interpretation -- _tBack to real time -- _tO(n) models -- _tGoldstone bosons -- _tO(n) models as spin models -- _tPhase diagram and critical line -- _tWeak-coupling expansion -- _tRenormalization -- _tRenormalization-group beta functions -- _tHopping expansion -- _tLuscher-Weisz solution -- _tNumerical simulation -- _tReal-space renormalization group and universality -- _tUniversality at weak coupling -- _tTriviality and the Standard Model -- _tGauge field on the lattice -- _tQED action -- _tQCD action -- _tLattice gauge field -- _tGauge-invariant lattice path integral -- _tCompact and non-compact Abelian gauge theory -- _tHilbert space and transfer operator -- _tThe kinetic-energy operator -- _tHamiltonian for continuous time -- _tWilson loop and Polyakov line -- _tU(1) and SU(n) gauge theory -- _tPotential at weak coupling -- _tAsymptotic freedom -- _tStrong-coupling expansion -- _tPotential at strong coupling -- _tConfinement versus screening -- _tGlueballs -- _tCoulomb phase, confinement phase -- _tMechanisms of confinement -- _tScaling and asymptotic scaling, numerical results -- _tFermions on the lattice -- _tNaive discretization of the Dirac action -- _tSpecies doubling -- _tWilson's fermion method.
520			_aThis book provides a concrete introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field theory obtained by replacing continuous space-time by a discrete set of points on a lattice. The path integral on the lattice is explained in concrete examples using weak and strong coupling expansions. Fundamental concepts such as 'triviality' of Higgs fields and confinement of quarks and gluons into hadrons are described and illustrated with the results of numerical simulations. The book also provides an introduction to chiral symmetry and chiral gauge theory, as well as quantized non-abelian gauge fields, scaling and universality. Based on the lecture notes of a course given by the author, this book contains many explanatory examples and exercises, and is suitable as a textbook for advanced undergraduate and graduate courses.
650		0	_aQuantum field theory.
650		0	_aLattice theory.
776	0	8	_iPrint version: _z9780521890519
830		0	_aCambridge lecture notes in physics ; _v15.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511583971
999			_c518444 _d518442