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Path Integral Methods in Quantum Field Theory (Cambridge Monographs on Mathematical Physics)
 
 
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Path Integral Methods in Quantum Field Theory (Cambridge Monographs on Mathematical Physics) [Paperback]

R. J. Rivers (Author)

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Book Description

October 28, 1988 0521368707 978-0521368704
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.

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Editorial Reviews

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"Rivers obviously knows the subject very well, and his readers should derive much pleasure from the small remarks that shed so much light and make what could be a heavy-going account into a lively one, combining sound scholarship with a good English prose style." The Times Higher Education Supplement

Book Description

The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.

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Inside This Book (learn more)
First Sentence:
In this book we shall be almost exclusively concerned with the interactions of relativistic particles that are the quanta of elementary fields. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
stochastic quantisation, field renormalisation, fermionic matter fields, naive formalism, dimensional regularisation, perturbative renormalisation, formal path integral, canonical quantisation, gauge identities, thermo field dynamics, simple scalar theory, quantum ambiguity, ultraviolet singularities, pure gauge theory, single scalar field, generating functional, scalar sector, loop expansion, integral formalism, vacuum diagrams, classical intuition, normalisation conditions, finite action, external legs, classical potential
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclidean Green
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