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Introduction to quantum fields on a lattice : 'a robust mate' /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2002.
|
| Colección: | Cambridge lecture notes in physics ;
15. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.