This text examines the statistical and quantitative techniques for
performing calculations in quantum field theory. This first chapter
-- a survey of renormalization, functional differentiation and
integration, and the Schwinger-Dyson equations -- occupies about
one third of the entire text. Most problems in quantum field theory
can be formulated by using the functional methods described in this
chapter.
Additional topics include dimensional regularization; the gauge and
infrared properties of quantum electrodynamics; and asymptotic
behavior and renormalization group methods. This text is largely
self-contained and suitable for advanced graduate students of
mathematical physics. Helpful reference features include an
appendix, bibliography, and index.
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