Abstract
The construction of P(φ)2 fields begins with this chapter; Chapters 11–12 conclude the construction. We develop efficient methods for computing and estimating integrals
of polynomials A = A(φ) with respect to a Gaussian measure dφ. There are a variety of equivalent methods for computing Gaussian integrals of polynomials, such as integration by parts, expansion in Hermite polynomials, or the use of annihilation and creation (raising and lowering) operators.
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© 1987 Springer-Verlag New York Inc.
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Glimm, J., Jaffe, A. (1987). Quantization = Integration over Function Space. In: Quantum Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4728-9_8
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DOI: https://doi.org/10.1007/978-1-4612-4728-9_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96477-5
Online ISBN: 978-1-4612-4728-9
eBook Packages: Springer Book Archive