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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Hlavní autor: Smit, Jan
Médium: E-kniha
Jazyk:angličtina
Vydáno: Cambridge University Press 2003
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ISBN:1009402749, 9781009402750, 1009402757, 9781009402743, 1009402706, 9781009402705
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Shrnutí: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