Introduction to Quantum Fields on a Lattice

This book provides a concise 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 w...

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Bibliographic Details
Main Author: Smit, Jan
Format: eBook
Language:English
Published: Cambridge University Press 2003
Subjects:
chiral symmetry
fermionic coherent states
fermions on the lattice
gauge field on the lattice
Higgs field
lattice regularisation
low mass hadrons in QCD
Mathematics and Science
non-Abelian gauge fields
non-perturbative quantum field theory
Nuclear physics
O(n) models
path integrals
Physics
quark confinement
spinor fields
SU(n) gauge theory
temporal gauge quantization
Textbook
U gauge theory
weak and strong coupling expansions
ISBN:1009402749, 9781009402750, 1009402757, 9781009402743, 1009402706, 9781009402705
Online Access:Get full text
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Summary:This book provides a concise 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.
ISBN:1009402749
9781009402750
1009402757
9781009402743
1009402706
9781009402705
DOI:10.1017/9781009402705