The P(φ)2 Green's functions: Smoothness in the coupling constant

Jonathan Dimock

doi:10.1016/0022-1236(76)90045-8

The P(φ)₂ Green's functions: Smoothness in the coupling constant

Jonathan Dimock

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The (real-time) Green's functions for the P(φ)₂ quantum field theory are studied. The main result is that they are C^∞ functions of the coupling constant λ, for λ sufficiently small and nonzero. Explicit expressions for the derivatives are obtained.

Original language	English
Pages (from-to)	340-368
Number of pages	29
Journal	Journal of Functional Analysis
Volume	21
Issue number	3
DOIs	https://doi.org/10.1016/0022-1236(76)90045-8
State	Published - Mar 1976

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title = "The P(φ)2 Green's functions: Smoothness in the coupling constant",

abstract = "The (real-time) Green's functions for the P(φ)2 quantum field theory are studied. The main result is that they are C∞ functions of the coupling constant λ, for λ sufficiently small and nonzero. Explicit expressions for the derivatives are obtained.",

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AB - The (real-time) Green's functions for the P(φ)2 quantum field theory are studied. The main result is that they are C∞ functions of the coupling constant λ, for λ sufficiently small and nonzero. Explicit expressions for the derivatives are obtained.

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The P(φ)₂ Green's functions: Smoothness in the coupling constant

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