High-accuracy critical exponents for O(N) hierarchical 3D sigma models

J. J Godina; L Li; Y Meurice; M. B Oktay

doi:10.1063/1.2359255

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High-accuracy critical exponents for O(N) hierarchical 3D sigma models

Conference proceeding

Peer reviewed

High-accuracy critical exponents for O(N) hierarchical 3D sigma models

J. J Godina, L Li, Y Meurice and M. B Oktay

AIP conference proceedings, Vol.857(1), pp.186-193

09/25/2006

DOI: 10.1063/1.2359255

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https://arxiv.org/pdf/hep-th/0511194View

Open Access

Abstract

The critical exponent {gamma} and its subleading exponent {delta} in the 3D O(N) Dyson's hierarchical model for N up to 20 are calculated with high accuracy. We calculate the critical temperatures for the measure {delta}({phi}-vector.{phi}-vector-1). We extract the first coefficients of the 1/N expansion from our numerical data. We show that the leading and subleading exponents agree with Polchinski equation and the equivalent Litim equation, in the local potential approximation, with at least 4 significant digits.

Quantum Field Theory

APPROXIMATIONS

CRITICAL TEMPERATURE

EQUATIONS

GAUGE INVARIANCE

PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

SIGMA MODEL

Details

Title: Subtitle: High-accuracy critical exponents for O(N) hierarchical 3D sigma models
Creators: J. J Godina - CINVESTAV
L Li - University of Iowa
Y Meurice - University of Iowa
M. B Oktay - Trinity College Dublin
Resource Type: Conference proceeding
Publication Details: AIP conference proceedings, Vol.857(1), pp.186-193
DOI: 10.1063/1.2359255
ISSN: 0094-243X
eISSN: 1551-7616
Language: English
Date published: 09/25/2006
Academic Unit: Physics and Astronomy
Record Identifier: 9984199673802771

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