Four loop renormalization of phi^3 theory in six dimensions



Gracey, John A ORCID: 0000-0002-9101-2853
(2015) Four loop renormalization of phi^3 theory in six dimensions. Physical Review D (PRD), 92 (2). pp. 1-31.

[thumbnail of phi3four.pdf] Text
phi3four.pdf - Unspecified

Download (340kB)
[thumbnail of admin] Atom XML (admin)
2017-05-12T11:19:34Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T12:18:29Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T13:17:53Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T14:17:42Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T15:17:54Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T16:18:07Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T17:17:50Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T18:18:16Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T19:18:03Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T20:18:08Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T21:18:25Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T22:19:05Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-12T23:23:47Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T01:19:17Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T02:18:51Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T03:18:57Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T04:34:48Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T05:18:43Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T06:18:06Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T07:18:33Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T08:18:51Z.atom - Unspecified

Download (0B)
[thumbnail of admin] Atom XML (admin)
2017-05-13T09:18:00Z.atom - Unspecified

Download (0B)

Abstract

We renormalize six dimensional phi^3 theory in the modified minimal subtraction (MSbar) scheme at four loops. From the resulting beta-function, anomalous dimension and mass anomalous dimension we compute four loop critical exponents relevant to the Lee-Yang edge singularity and percolation problems. Using resummation methods and information on the exponents of the relevant two dimensional conformal field theory we obtain estimates for exponents in dimensions 3, 4and 5 which are in reasonable agreement with other techniques for these two problems. The renormalization group functions for the more general theory with an O(N) symmetry are also computed in order to obtain estimates of exponents at various fixed points in five dimensions. Included in this O(N) analysis is the full evaluation of the mass operator mixing matrix of anomalous dimensions at four loops. We show that its eigen-exponents are in agreement with the mass exponents computed at O(1/N^2) in the non-perturbative large N expansion.

Item Type: Article
Additional Information: 40 latex pages, 12 tables, anc directory contains txt file with electronic version of renormalization group functions, typos corrected in several equations
Uncontrolled Keywords: hep-th, hep-th, cond-mat.stat-mech, hep-lat
Depositing User: Symplectic Admin
Date Deposited: 11 Apr 2016 12:12
Last Modified: 09 Feb 2023 04:54
DOI: 10.1103/PhysRevD.92.025012
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3000199