Erratum: Critical behavior of (
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)-dimensional QED: 
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 corrections in the Landau gauge [Phys. Rev. D 
<b>94</b>
,

Kotikov, A.V.; Shilin, V. I.; Teber, S.

doi:10.1103/physrevd.99.119901

Cited by 12 publications

(10 citation statements)

References 2 publications

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“…Systems of gapless fermions coupled to gauge fields with continuous gauge groups are of significant current interest as well. An important example is (2+1)-dimensional quantum electrody-namics (QED 3 ) with U(1) gauge group, both in its compact and noncompact version [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. This theory is a natural candidate for the low-energy description of gapless U(1) spin liquids, which may be realizable in certain planar magnets [31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Confinement transition in the QED$_3$-Gross-Neveu-XY universality class

Janssen,

Wang,

Scherer

et al. 2020

Preprint

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The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be gained by combining different complementary approaches. Here, we study a confinement transition in a system of N f flavors of interacting Dirac fermions charged under a U(1) gauge field in 2+1 dimensions. Using Quantum Monte Carlo simulations, we investigate a lattice model that exhibits a continuous transition at zero temperature between a gapless deconfined phase, described by three-dimensional quantum electrodynamics, and a gapped confined phase, in which the system develops valence-bond-solid order. We argue that the quantum critical point is in the universality class of the QED 3 -Gross-Neveu-XY model. We study this field theory within a 1/N f expansion in fixed dimension as well as a renormalization group analysis in 4 − space-time dimensions. The consistency between numerical and analytical results is revealed from large to intermediate flavor number.

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Section: Introductionmentioning

confidence: 99%

Confinement transition in the QED$_3$-Gross-Neveu-XY universality class

Janssen,

Wang,

Scherer

et al. 2020

Preprint

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“…The gauge parameter is included here as it is relevant for studies of chiral symmetry breaking in three dimensions using the large N expansion, [39]. See, for instance, recent O(1/N 2 ) work in this area in pure QED, [40,41,42]. There the value of N corresponding to chiral symmetry breaking was studied using 1/N methods and the value shown to be independent of the gauge.…”

mentioning

confidence: 99%

Fermion bilinear operator critical exponents at O(1/N2) in the QED-Gross-Neveu universality class

Gracey

2018

Phys. Rev. D

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We use the critical point large N formalism to calculate the critical exponents corresponding to the fermion mass operator and flavour non-singlet fermion bilinear operator in the universality class of Quantum Electrodynamics (QED) coupled to the Gross-Neveu model for an SU (N ) flavour symmetry in d-dimensions. The expansion of the exponents in d = 4 − 2 dimensions are in agreement with recent three and four loop perturbative evaluations of both renormalization group functions of these operators. Estimates of the value of the non-singlet operator exponent in three dimensions are provided. LTH 11731 arXiv:1808.07697v2 [hep-th]

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“…Moreover, using transformation formulas Eqs. (26) and (29) In closing, our analysis was devoted to the simplest non-trivial two-loop massless propagator-type Feynman diagram. We hope that such an analysis may be generalized to allow the exact computation of more complicated diagrams such as those appearing upon studying 1/N corrections to dynamical fermion mass generation in QED 3 26,27 and RQED 4,3 28 , see Figs.…”

Section: Discussionmentioning

confidence: 99%

New Results for a Two-Loop Massless Propagator-Type Feynman Diagram

Kotikov¹,

Teber²

2018

Theor Math Phys

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We consider the two-loop massless propagator-type Feynman diagram with an arbitrary (noninteger) index on the central line. We analytically prove the equality of the two well-known results existing in the literature which express this diagram in terms of 3 F 2 -hypergeometric functions of argument −1 and 1, respectively. We also derive new representations for this diagram which may be of importance in practical calculations.

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Erratum: Critical behavior of ( 2+1 )-dimensional QED: 1/Nf corrections in the Landau gauge [Phys. Rev. D 94 ,

Cited by 12 publications

References 2 publications

Confinement transition in the QED$_3$-Gross-Neveu-XY universality class

Confinement transition in the QED$_3$-Gross-Neveu-XY universality class

Fermion bilinear operator critical exponents at O(1/N2) in the QED-Gross-Neveu universality class

New Results for a Two-Loop Massless Propagator-Type Feynman Diagram

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