Conserved current correlators of conformal field theories in 2+1 dimensions

Abstract:We analyze the 3d free massive fermion theory coupled to external sources. The presence of a mass explicitly breaks parity invariance. We calculate two-and threepoint functions of a gauge current and the energy momentum tensor and, for instance, obtain the well-known result that in the IR limit (but also in the UV one) we reconstruct the relevant CS action. We then couple the model to higher spin currents and explicitly work out the spin 3 case. In the UV limit we obtain an effective action which was proposed many years ago as a possible generalization of spin 3 CS action. In the IR limit we derive a different higher spin action. This analysis can evidently be generalized to higher spins. We also discuss the conservation and properties of the correlators we obtain in the intermediate steps of our derivation.

Section: Jhep05(2016)072mentioning

confidence: 99%

Section: Jhep05(2016)072mentioning

confidence: 99%

Section: Jhep05(2016)072mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Massive fermion model in 3d and higher spin currents

Bonora

Cvitan

Prester

et al. 2016

“…For large N f the theory flows in the IR to an interacting conformal field theory (CFT) that enjoys the same parity and global symmetry. The CFT observables are then amenable to perturbation theory in 1/N f ; this has been done for scaling dimensions [1][2][3][4][5][6][7][8][9][10][11], two-point functions of conserved currents [12][13][14], and the free energy [15]. The IR fixed point is expected to persist beyond this large-N f regime, but not much is known about it.…”

Section: Introductionmentioning

confidence: 99%

Scaling dimensions in QED3 from the ϵ-expansion

Pietro

Stamou

2017

Abstract:We study the fixed point that controls the IR dynamics of QED in d = 4 − 2 dimensions. We derive the scaling dimensions of four-fermion and bilinear operators beyond leading order in the -expansion. For the four-fermion operators, this requires the computation of a two-loop mixing that was not known before. We then extrapolate these scaling dimensions to d = 3 to estimate their value at the IR fixed point of QED 3 as function of the number of fermions N f . The next-to-leading order result for the four-fermion operators corrects significantly the leading one. Our best estimate at this order indicates that they do not cross marginality for any value of N f , which would imply that they cannot trigger a departure from the conformal phase. For the scaling dimensions of bilinear operators, we observe better convergence as we increase the order. In particular, the -expansion provides a convincing estimate for the dimension of the flavor-singlet scalar in the full range of N f .

Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: fermionic Dirac matter coupled to U(1) gauge field

Huh

Strack

2015

Self Cite

Abstract:We compute the central charge C T and universal conductivity C J of N F fermions coupled to a U (1) gauge field up to next-to-leading order in the 1/N F expansion. We discuss implications of these precision computations as a diagnostic for response and entanglement properties of interacting conformal field theories for strongly correlated condensed matter phases and conformal quantum electrodynamics in 2 + 1 dimensions.