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 | ||||||||||||||||||||
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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 | ||||||||||||||||||||
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Refereed: | Yes | ||||||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/17237 |
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