Introduction to quantum fields on a lattice : 'a robust mate'

Introduction to quantum fields on a lattice : 'a robust mate' / Jan Smit.

This 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...

Full description

Saved in:
Bibliographic Details
Main Author: Smit, Jan, 1943-
Format: eBook
Language:English
Published: Cambridge, UK ; New York : Cambridge University Press, 2002.
Series:Cambridge lecture notes in physics ; 15.
Subjects:
Quantum field theory.
Lattice theory.
SCIENCE > Waves & Wave Mechanics.
Lattice theory
Quantum field theory
Gitterfeldtheorie
Electronic books.
Online Access:Click for online access
Table of Contents:
  • QED, QCD, and confinement
  • Scalar field
  • Path-integral and lattice regularization
  • Path integral in quantum mechanics
  • Regularization by discretization
  • Analytic continuation to imaginary time
  • Spectrum of the transfer operator
  • Latticization of the scalar field
  • Transfer operator for the scalar field
  • Fourier transformation on the lattice
  • Free scalar field
  • Particle interpretation
  • Back to real time
  • O(n) models
  • Goldstone bosons
  • O(n) models as spin models
  • Phase diagram and critical line
  • Weak-coupling expansion
  • Renormalization
  • Renormalization-group beta functions
  • Hopping expansion
  • Luscher-Weisz solution
  • Numerical simulation
  • Real-space renormalization group and universality
  • Universality at weak coupling
  • Triviality and the Standard Model
  • Gauge field on the lattice
  • QED action
  • QCD action
  • Lattice gauge field
  • Gauge-invariant lattice path integral
  • Compact and non-compact Abelian gauge theory
  • Hilbert space and transfer operator
  • The kinetic-energy operator
  • Hamiltonian for continuous time
  • Wilson loop and Polyakov line
  • U(1) and SU(n) gauge theory
  • Potential at weak coupling
  • Asymptotic freedom
  • Strong-coupling expansion
  • Potential at strong coupling
  • Confinement versus screening
  • Glueballs
  • Coulomb phase, confinement phase
  • Mechanisms of confinement
  • Scaling and asymptotic scaling, numerical results
  • Fermions on the lattice
  • Naive discretization of the Dirac action
  • Species doubling
  • Wilson's fermion method.

Similar Items