The Spectrum of Topologically Massive Quantum Electrodynamics

Dobroliubov, M.I.; Eliezer, David; Kogan, Ian I.; Semenoff, Gordon W.; Szabo, Richard J.

doi:10.1142/s0217732393001902

Cited by 23 publications

(32 citation statements)

References 11 publications

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“…From (89) 5 , one can see that the massless part φ α (0) (p) of the state does not contribute to the norm (88), and, consequently, it is unphysical.…”

Section: Electrodynamicsmentioning

confidence: 99%

“…For electrodynamics, an infrared modification of the polarization vector of physical photons leads to interesting consequences in phenomenological applications of the interacting theory with fermionic matter. In particular, the correct form of the polarization vector might help in proving the conjectured existence of fermion-photon bound-states [5]. In the gravitational case, the calculation of the polarization tensor of physical gravitons might be considered as a first step for the understanding of some questions arising, at the quantum level, in the relation between the first and second order formulations of the theory [6].…”

Section: Introductionmentioning

confidence: 99%

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Quantum states of topologically massive electrodynamics and gravity

Grignani

Sodano²,

Scrucca³

1996

J. Phys. A: Math. Gen.

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The free quantum states of topologically massive electrodynamics and gravity in 2+1 dimensions, are explicitly found. It is shown that in both theories the states are described by infrared-regular polarization tensors containing a regularization phase which depends on the spin. This is done by explicitly realizing the quantum algebra on a functional Hilbert space and by finding the Wightman function to define the scalar product on such a Hilbert space. The physical properties of the states are analyzed defining creation and annihilation operators.For both theories, a canonical and covariant quantization procedure is developed. The higher order derivatives in the gravitational lagrangian are treated by means of a preliminary Dirac procedure.The closure of the Poincaré algebra is guaranteed by the infrared-finiteness of the states which is related to the spin of the excitations through the regularization phase. Such a phase may have interesting physical consequences.

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“…From (89) 5 , one can see that the massless part φ α (0) (p) of the state does not contribute to the norm (88), and, consequently, it is unphysical.…”

Section: Electrodynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum states of topologically massive electrodynamics and gravity

Grignani

Sodano²,

Scrucca³

1996

J. Phys. A: Math. Gen.

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“…Aharonov-Bohm amplitude for the scattering of a charge off of a flux [12,13,18] which is observable as a long-ranged effect in the theory.…”

Section: Anomalous Spin In Topologically Massive Gravitymentioning

confidence: 99%

Liouville dressed weights and renormalization of spin in topologically massive gravity

Kogan¹,

Szabo²

1997

Nuclear Physics B

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We examine the relations between observables in two-and three-dimensional quantum gravity by studying the coupling of topologically massive gravity to matter fields in non-trivial representations of the three-dimensional Lorentz group. We show that the gravitational renormalization of spin up to one-loop order in these theories reproduces the leading orders of the KPZ scaling relations for quantum Liouville theory. We demonstrate that the two-dimensional scaling dimensions can be computed from tree-level Aharonov-Bohm scattering amplitudes between the charged particles in the limit where the three-dimensional theory possesses local conformal invariance. We show how the three-dimensional description defines scale-dependent weights by computing the one-loop order anomalous magnetic moment of fermions in a background electromagnetic field due to the renormalization by topologically massive gravity. We also discuss some aspects concerning the different phases of three-dimensional quantum gravity and argue that the topological ones may be related to the branched polymer phase of twodimensional quantum gravity.

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“…In fact, if an attractive electron-electron interaction is obtained in the context of a particular model, it may be seen as a first connection between such theoretical models and the attainment of electron pairing. In practice, this interplay has begun with the application of the Maxwell-Chern-Simons (MCS) theory [59][60][61][62][63][64] for evaluating the electron-electron interaction in a planar model. However, it was soon established that the MCS model does not imply an attractive interaction for small topological mass (s m e ), regime compatible with low-energy excitations.…”

Section: Introductionmentioning

confidence: 99%

Nonrelativistic Electron–electron Interaction in a Maxwell–chern–simons–proca Model Endowed With a Timelike Lorentz-Violating Background

Ferreira

Tavares

2007

Int. J. Mod. Phys. A

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A planar Maxwell-Chern-Simons-Proca model endowed with a Lorentz-violating background is taken as framework to investigate the electron-electron interaction. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the scalar and the gauge fields, respectively. The electron-electron interaction is then exactly evaluated as the Fourier transform of the Möller scattering amplitude (carried out in the nonrelativistic limit) for the case of a purely timelike background. The interaction potential exhibits a totally screened behavior far from the origin as consequence of massive character of the physical mediators. The total interaction (scalar plus gauge potential) can always be attractive, revealing that this model may lead to the formation of electron-electron bound states.

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The Spectrum of Topologically Massive Quantum Electrodynamics

Cited by 23 publications

References 11 publications

Quantum states of topologically massive electrodynamics and gravity

Quantum states of topologically massive electrodynamics and gravity

Liouville dressed weights and renormalization of spin in topologically massive gravity

Nonrelativistic Electron–electron Interaction in a Maxwell–chern–simons–proca Model Endowed With a Timelike Lorentz-Violating Background

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