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Dimensional crossover from non-renormalizability to renormalizability

Technical Report:

Abstract

It is shown to one loop that a {lambda}{Phi}{sup 4} theory contracts from being a non-renormalizable theory above four dimensions to a renormalizable theory in the limit of zero size of the additional dimensions above four dimensions. This provides an example of the decoupling of an infinite number of modes in the infrared domain of the theory. The results have applications to statistical mechanical systems above the critical point, in the context of finite size effects and Kaluza Klein theories in high energy physics. 15 refs.
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
JINR-E-2-91-497
Reference Number:
SCA: 662110; PA: AIX-24:008186; SN: 93000932914
Resource Relation:
Other Information: DN: Submitted to Phys. Lett., B.; PBD: 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; RENORMALIZATION; FEYNMAN PATH INTEGRAL; MANY-DIMENSIONAL CALCULATIONS; ASYMPTOTIC SOLUTIONS; COUPLING CONSTANTS; FOUR-DIMENSIONAL CALCULATIONS; FOURIER TRANSFORMATION; FUNCTIONS; INFRARED DIVERGENCES; MINKOWSKI SPACE; SCALAR FIELDS; SERIES EXPANSION; SPACE-TIME; VERTEX FUNCTIONS; WILSON LOOP; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10119537
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE93613052; TRN: RU9206940008186
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[12] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kubyshin, Yu A, O`Connor, D, and Stephens, C R. Dimensional crossover from non-renormalizability to renormalizability. JINR: N. p., 1991. Web.
Kubyshin, Yu A, O`Connor, D, & Stephens, C R. Dimensional crossover from non-renormalizability to renormalizability. JINR.
Kubyshin, Yu A, O`Connor, D, and Stephens, C R. 1991. "Dimensional crossover from non-renormalizability to renormalizability." JINR.
@misc{etde_10119537,
title = {Dimensional crossover from non-renormalizability to renormalizability}
author = {Kubyshin, Yu A, O`Connor, D, and Stephens, C R}
abstractNote = {It is shown to one loop that a {lambda}{Phi}{sup 4} theory contracts from being a non-renormalizable theory above four dimensions to a renormalizable theory in the limit of zero size of the additional dimensions above four dimensions. This provides an example of the decoupling of an infinite number of modes in the infrared domain of the theory. The results have applications to statistical mechanical systems above the critical point, in the context of finite size effects and Kaluza Klein theories in high energy physics. 15 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}