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...
Gespeichert in:
| Hauptverfasser: | , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
28 September 2018
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| In: |
Physical review
Year: 2018, Jahrgang: 98, Heft: 11 |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.98.115163 |
| Online-Zugang: | 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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| Verfasserangaben: | Bernhard Ihrig, Lukas Janssen, Luminita N. Mihaila, Michael M. Scherer |
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| 520 | |a 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. | ||
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