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Isotropic Lifshitz point in the O(N) theory

Isotropic Lifshitz point in the O(N) theory

Authors :
Dario ZappalĂ 
Source :
Physics Letters B, Vol 773, Iss, Pp 213-218 (2017), Physics Letters B
Publication Year :
2017
Publisher :
Elsevier, 2017.

Abstract

The presence of an isotropic tricritical Lifshitz point for the O(N) scalar theory is investigated in the 1/N expansion by means of the Functional Renormalization Group equations. At leading order, the non-trivial Lifshitz point is observed if the number of dimensions d is taken between d=4 and d=8, and the eigenvalue spectrum of the associated eigendirections is derived. At order 1/N, the anomalous dimension eta_N is computed and it is found to vanish both in d=4 and d=8, while it turns out to be positive between these two values, although strongly dependent on the choice of infrared regulator.<br />Published version

Details

Language :
English
ISSN :
03702693
Volume :
773
Database :
OpenAIRE
Journal :
Physics Letters B
Accession number :
edsair.doi.dedup.....bf21b38235e7f922b1ed8e0f3cd05322