The construction of P(φ)2 quantum fields given here is valid for semibounded interaction polynomials P of the form P = even + linear. Other constructions apply to general semibounded P; see also Chapter 18. In this chapter, the problem of existence is separated from regularity. We prove the existence of a Euclidean measure dµ, obtained as an infinite volume limit of the finite volume measures of Chapter 8. The proof uses monotone convergence and uniform upper bounds.
KeywordsEntire Function Monotone Convergence Reflection Operator Reflection Positivity Euclidean Measure
Unable to display preview. Download preview PDF.