Infinite volume asymptotics in P(ø)2 field theory

A. Lenard; C. M. Newman

doi:10.1007/BF01614243

Infinite volume asymptotics in P(ø)₂ field theory

A. Lenard, C. M. Newman

Mathematics

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

Abstract

We prove a number of asymptotic results in the P(φ)₂ theory in the limit when the space cut-offs are removed, in particular the behavior of E_l and Z_t,l as t,l→∞. Such results are used to study the question of orthogonality of infinite volume Euclidean measures μ_∞(λ) for varying interaction constants λ.

Original language	English (US)
Pages (from-to)	243-250
Number of pages	8
Journal	Communications In Mathematical Physics
Volume	39
Issue number	3
DOIs	https://doi.org/10.1007/BF01614243
State	Published - Sep 1974

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01614243

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title = "Infinite volume asymptotics in P({\o})2 field theory",

abstract = "We prove a number of asymptotic results in the P(φ)2 theory in the limit when the space cut-offs are removed, in particular the behavior of El and Zt,l as t,l→∞. Such results are used to study the question of orthogonality of infinite volume Euclidean measures μ∞(λ) for varying interaction constants λ.",

author = "A. Lenard and Newman, {C. M.}",

year = "1974",

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AU - Newman, C. M.

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AB - We prove a number of asymptotic results in the P(φ)2 theory in the limit when the space cut-offs are removed, in particular the behavior of El and Zt,l as t,l→∞. Such results are used to study the question of orthogonality of infinite volume Euclidean measures μ∞(λ) for varying interaction constants λ.

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DO - 10.1007/BF01614243

M3 - Article

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

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Infinite volume asymptotics in P(ø)₂ field theory

Abstract

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