Differential regularization of Chern-Simons-Maxwell spinor and scalar electrodynamics

Chaichian, M.; Chen, W.F.; Lee, H.C.

doi:10.1016/s0370-2693(97)00894-0

Cited by 16 publications

(16 citation statements)

References 34 publications

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“…Although DFR can in principle be consistently applied to this class of theories as it has been verified in some models [6]- [10], its use has not become so popular yet, especially beyond the one loop order, in the electroweak sector of the Standard Model and in SUSY models, for instance. Some authors argue that the convenience of (momentum space) DR's beyond the one loop order justifies to mend the shortcomings caused by unwanted breakdown of symmetries [4], [5].…”

Section: Introductionmentioning

confidence: 99%

Chiral anomaly andCPTinvariance in an implicit momentum space regularization framework

et al. 2001

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This is the second in a series of two contributions in which we set out to establish a novel momentum space framework to treat field theoretical infinities in perturbative calculations when parity-violating objects occur. Since no analytic continuation on the space-time dimension is effected, this framework can be particularly useful to treat dimension-specific theories. Moreover arbitrary local terms stemming from the underlying infinities of the model can be properly parametrized. We (re)analyse the undeterminacy of the radiatively generated CPT violating Chern-Simons term within an extended version of QED 4 and calculate the Adler-Bardeen-Bell-Jackiw triangle anomaly to show that our framework is consistent and general to handle the subtleties involved when a radiative corretion is finite.

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Section: Introductionmentioning

confidence: 99%

Chiral anomaly andCPTinvariance in an implicit momentum space regularization framework

et al. 2001

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“…Equation (4.69) defines the dual representation of a charged scalar field in terms of a (2 + 1) gauge theory. It is also worth mentioning that, in the present case, some of the one-loop contributions to the dual gauge invariant action S dual (A) have been computed [13]. In particular, from the expression of the vacuum polarization [13], it follows that there is no induced Chern-Simons term in S dual (A).…”

Section: The General Frameworkmentioning

confidence: 63%

“…It is also worth mentioning that, in the present case, some of the one-loop contributions to the dual gauge invariant action S dual (A) have been computed [13]. In particular, from the expression of the vacuum polarization [13], it follows that there is no induced Chern-Simons term in S dual (A). As expected, this result is due to the absence of parity breaking terms in the starting action (4.61).…”

Section: The General Frameworkmentioning

confidence: 63%

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Dual Description of U(1) Charged Fields in (2+1) Dimensions

et al. 2001

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We show that the functional bosonization procedure can be generalized in such a way that, to any field theory with a conserved Abelian charge in 2 + 1 dimensions, there corresponds a dual Abelian gauge field theory. The properties of this mapping and of the dual theory are discussed in detail, presenting different explicit examples. In particular, the meaning and effect of the coefficient of the Chern-Simons term in the dual action is interpreted in terms of the spin and statistics connection.

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“…In this article we shall investigate three-dimensional Chern-Simons spinor electrodynamics [9,10] in the light-cone gauge, i.e., U(1) CS gauge theory coupled with fermions. This model has some distinct features from the pure non-Abelian CS gauge theory, and it is worthy to observe its quantum corrections in the light-cone gauge with the ML prescription.…”

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confidence: 99%

Chern-Simons spinor electrodynamics in the light-cone gauge

Chen

2012

Phys. Rev. D

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The one-loop quantum corrections of Chern-Simons spinor electrodynamics in the light-cone gauge has been investigated. We have calculated the vacuum polarization tensor, fermionic self-energy and on-shell vertex correction with a hybrid regularization consisting of a higher covariant derivative regularization and dimensional continuation. The Mandelstam-Leibbrandt prescription is used to handle the spurious light-cone singularity in the gauge field propagator. We then perform the finite renormalization to define the quantum theory. The generation of the parity-even Maxwell term and the arising of anomalous magnetic moment from quantum corrections are reproduced as in the case of a covariant gauge choice. The Ward identities in the light-cone gauge are verified to satisfy explicitly. Further, we have found the light-cone vector dependent sector of local quantum effective action for the fermion is explicitly gauge invariant, and hence the covariance of S-matrix elements of the theory can be achieved.

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Differential regularization of Chern-Simons-Maxwell spinor and scalar electrodynamics

Cited by 16 publications

References 34 publications

Chiral anomaly andCPTinvariance in an implicit momentum space regularization framework

Chiral anomaly andCPTinvariance in an implicit momentum space regularization framework

Dual Description of U(1) Charged Fields in (2+1) Dimensions

Chern-Simons spinor electrodynamics in the light-cone gauge

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