Path Integral Methods in Quantum Field Theory (Cambridge Monographs on Mathematical Physics) (Reprint)

Path Integral Methods in Quantum Field Theory (Cambridge Monographs on Mathematical Physics) (Reprint)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 339 p.
  • 言語 ENG
  • 商品コード 9780521368704
  • DDC分類 530


Hardcover was published in 1987:06. Now in paperback. A concise graduate level introduction to analytic functional methods in quantum field theory.

Full Description

This is a concise graduate level introduction to analytical functional methods in quantum field theory. Functional integral methods provide relatively simple solutions to a wide range of problems in quantum field theory. After introducing the basic mathematical background, this book goes on to study applications and consequences of the formalism to the study of series expansions, measure, phase transitions, physics on spaces with nontrivial topologies, stochastic quantisation, fermions, QED, non-abelian gauge theories, symmetry breaking, the effective potential, finite temperature field theory, instantons and compositeness. Serious attention is paid to the shortcomings of the conventional formalism (e.g. problems of measure) as well as detailed appraisal of the ambiguities of series summation. This book will be of great use to graduate students in theoretical physics wishing to learn the use of functional integrals in quantum field theory. It will also be a useful reference for researchers in theoretical physics, especially those with an interest in experimental and theoretical particle physics and quantum field theory.

Table of Contents

1. Scalar Green functions and their
perturbative solutions
2. Connected Green functions and their
one-particle irreducible components
3. Regularisation and renormalisation
4. The scalar functional integral
5. Series expansions and their summation
6. Taking the path integral more seriously
7. Quantum theory on non-simply-connected
configuration spaces
8. Stochastic quantisation
9. Fermions
10. Quantum electrodynamics
11. Non-abelian gauge theories
12. Explicit symmetry breaking and its
classical limit
13. The effective potential
14. Field theory at non-zero temperature
15. Field theory at non-zero temperature:
real-time formulation
16. Instantons
17. Composite fields and the large-N limit