General structure of correlation functions in stochastic quantization

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Abstract

We investigate the general structure of stationary correlation functions in stochastic quantization. On the basis of the (D+1)-dimensional field-theoretical formulation (operator formalism), we prove the fluctuation dissipation theorem which establishes a link between two types of correlation functions φφ and φπ, π being the conjugate field to φ. A specific structure of the self-energies to the correlation functions is clarified in (D+1)-dimensional momentum space, which, together with the fluctuation dissipation theorem, enables us to extract the fictitious time dependence of the correlation functions: The correlation length along the fictitious time is inversely proportional to p2+mphys2, mphys being the physical (pole) mass obtained in ordinary field theory.

Original languageEnglish
Pages (from-to)5838-5849
Number of pages12
JournalPhysical Review D
Volume48
Issue number12
DOIs
Publication statusPublished - 1993
Externally publishedYes

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dissipation
theorems
time dependence
poles
formalism
momentum
formulations
operators
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

General structure of correlation functions in stochastic quantization. / Nakazato, Hiromichi.

In: Physical Review D, Vol. 48, No. 12, 1993, p. 5838-5849.

Research output: Contribution to journalArticle

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