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Roscher, Dietrich and Herbut, Igor F. (2018). Critical O(2) field theory near six dimensions beyond one loop. Phys. Rev. D, 97 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029

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Abstract

A tensorial representation of phi(4) field theory introduced by Herbut and Janssen [Phys. Rev. D 93, 085005 (2016)] is studied close to six dimensions, with an eye towards a possible realization of an interacting conformal field theory in five dimensions. We employ the two-loop e expansion, two-loop fixed-dimension renormalization group, and nonperturbative functional renormalization group. An interacting, real, infrared-stable fixed point is found near six dimensions, and the corresponding anomalous dimensions are computed to the second order in the small parameter epsilon = 6 - d. Two-loop epsilon expansion indicates, however, that the second-order corrections may destabilize the fixed point at some critical epsilon(c) < 1. A more detailed analysis within all three computational schemes suggests that the interacting, infrared-stable fixed point found previously collides with another fixed point and becomes complex when the dimension is lowered from six towards five. Such a result would conform to the expectation of the triviality of O(2) field theories above four dimensions.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Roscher, Dietrich UNSPECIFIED UNSPECIFIED UNSPECIFIED Herbut, Igor F. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-182571
DOI:	10.1103/PhysRevD.97.116019
Journal or Publication Title:	Phys. Rev. D
Volume:	97
Number:	11
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0029
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language RENORMALIZATION-GROUP; TRIVIALITY Multiple languages Astronomy & Astrophysics; Physics, Particles & Fields Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18257