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  1. Home
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  3. Introduction to Quantum Fields on a Lattice
  • Cited by 99
Publisher:
Cambridge University Press
Online publication date:
November 2009
Print publication year:
2002
Online ISBN:
9780511583971
DOI:
https://doi.org/10.1017/CBO9780511583971
Subjects:
Particle Physics and Nuclear Physics, Physics and Astronomy, Theoretical Physics and Mathematical Physics
Series:
Cambridge Lecture Notes in Physics (15)
Information

Book description

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 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.

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