Quantization = Integration over Function Space

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

$$ \int {A\,d\phi \, = \,\sum\limits_{G = graph} {I(G)} } $$

(8.1.1)

of polynomials A = A(Φ) with respect to a Gaussian measure dΦ.