(Ebook) Introduction to quantum fields on a lattice 15th Edition by Jan Smit ISBN 9780511020780 0511020783

(Ebook) Introduction to quantum fields on a lattice 15th Edition by Jan Smit ISBN 9780511020780 0511020783

(Ebook) Introduction to quantum fields on a lattice 15th Edition by Jan Smit - Ebook PDF Instant Download/Delivery: 9780511020780 ,0511020783
Full download (Ebook) Introduction to quantum fields on a lattice 15th Edition after payment

Product details:

ISBN 10: 0511020783
ISBN 13: 9780511020780
Author: Jan Smit

(Ebook) Introduction to quantum fields on a lattice 15th Edition Table of contents:

1. Introduction

• QED, QCD, and confinement

• Scalar field

2. 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

• Problems

3. 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

• Lüscher–Weisz solution

• Numerical simulation

• Real-space renormalization group and universality

• Universality at weak coupling

• Triviality and the Standard Model

• Problems

4. 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

• Problems

5. 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

• Problems

6. Fermions on the lattice

• Naive discretization of the Dirac action

• Species doubling

• Wilson’s fermion method

• Staggered fermions

• Transfer operator for Wilson fermions

• Problems

7. Low-mass hadrons in QCD

• Integrating over the fermion fields

• Hopping expansion for the fermion propagator

• Meson and baryon propagators

• Hadron masses at strong coupling

• Numerical results

• The parameters of QCD

• Computing the gauge coupling from the masses

• Problems

8. Chiral symmetry

• Chiral symmetry and effective action in QCD

• Pseudoscalar masses and the U(1) problem

• Chiral anomalies

• Chiral symmetry and the lattice

• Spontaneous breaking of chiral symmetry

• Chiral gauge theory

• Outlook

• Problems

People also search for (Ebook) Introduction to quantum fields on a lattice 15th Edition:

    
quantum fields on a lattice pdf
    
introduction to quantum fields on a lattice a robust mate
    
lattice qed
    
quantum lattice
    
lattice qft

Tags: Jan Smit, quantum fields, lattice, Introduction