Fields Without Cutoffs

  • James Glimm
  • Arthur Jaffe


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 , obtained as an infinite volume limit of the finite volume measures of Chapter 8. The proof uses monotone convergence and uniform upper bounds.


Entire Function Monotone Convergence Reflection Operator Reflection Positivity Euclidean Measure 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • James Glimm
    • 1
  • Arthur Jaffe
    • 2
  1. 1.Courant Institute for Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Harvard UniversityCambridgeUSA

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