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Deconfined criticality from the QED3-Gross-Neveu model at three loops

The QED3-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 Néel and valence bond solid orders in frustrated quant...

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Bibliographic Details
Main Authors: Ihrig, Bernhard (Author) , Janssen, Lukas (Author) , Mihaila, Luminita (Author) , Scherer, Michael (Author)
Format: Article (Journal)
Language:English
Published: 28 September 2018
In: Physical review
Year: 2018, Volume: 98, Issue: 11
ISSN:2469-9969
DOI:10.1103/PhysRevB.98.115163
Online Access:Verlag, Volltext: https://doi.org/10.1103/PhysRevB.98.115163
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.98.115163
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Author Notes:Bernhard Ihrig, Lukas Janssen, Luminita N. Mihaila, Michael M. Scherer
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Summary:The QED3-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 Néel and valence bond solid orders in frustrated quantum magnets. We study the critical behavior of the QED3-Gross-Neveu model by means of an ε 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 Padé approximants of their series expansion in ε. We find that these estimates, within the spread of the Padé 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 QED3-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 Description:Im Titel ist die Zahl "3" tiefgestellt
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Physical Description:Online Resource
ISSN:2469-9969
DOI:10.1103/PhysRevB.98.115163

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