Universität zu Köln

Ihrig, Bernhard, Janssen, Lukas ORCID: 0000-0003-4919-796X, Mihaila, Luminita N. and Scherer, Michael M. ORCID: 0000-0003-0766-9949 (2018). Deconfined criticality from the QED(3)-Gross-Neveu model at three loops. Phys. Rev. B, 98 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

Full text not available from this repository.

Abstract

The QED(3)-Gross-Neveu model is a (2 + 1)-dimensional U(1) gauge theory involving Dirac fermions and a critical real scalar field. This theory has recently been argued to represent a dual description of the deconfined quantum critical point between Neel and valence bond solid orders in frustrated quantum magnets. We study the critical behavior of the QED(3)-Gross-Neveu model by means of an epsilon expansion around the upper critical space-time dimension of D-c(+) = 4 up to the three-loop order. Estimates for critical exponents in 2 + 1 dimensions are obtained by evaluating the different Pade approximants of their series expansion in epsilon. We find that these estimates, within the spread of the Pade approximants, satisfy a nontrivial scaling relation, which follows from the emergent SO(5) symmetry implied by the duality conjecture. We also construct explicit evidence for the equivalence between the QED(3)-Gross-Neveu model and a corresponding critical four-fermion gauge theory that was previously studied within the 1/N expansion in space-time dimensions 2 < D < 4.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ihrig, Bernhard UNSPECIFIED UNSPECIFIED UNSPECIFIED Janssen, Lukas UNSPECIFIED orcid.org/0000-0003-4919-796X UNSPECIFIED Mihaila, Luminita N. UNSPECIFIED UNSPECIFIED UNSPECIFIED Scherer, Michael M. UNSPECIFIED orcid.org/0000-0003-0766-9949 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-172377
DOI:	10.1103/PhysRevB.98.115163
Journal or Publication Title:	Phys. Rev. B
Volume:	98
Number:	11
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CRITICAL EXPONENTS; PHASE-TRANSITIONS; 1/N EXPANSION; BETA-FUNCTION; GROSS-NEVEU; DUALITY; QCD Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/17237