scholarly journals Scalar quantum electrodynamics via Duffin–Kemmer–Petiau gauge theory in the Heisenberg picture: Vacuum polarization

2018 ◽  
Vol 33 (10) ◽  
pp. 1850059 ◽  
Author(s):  
J. Beltran ◽  
N. T. Maia ◽  
B. M. Pimentel
Keyword(s):  
Gauge Theory ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
External Electromagnetic Field ◽  
Charged Scalar ◽  
Heisenberg Picture ◽  
Perturbative Method ◽  
Scalar Quantum ◽  
Charge Renormalization ◽  
Vacuum Polarization Tensor

Scalar Quantum Electrodynamics is investigated in the Heisenberg picture via the Duffin-Kemmer-Petiau gauge theory. On this framework, a perturbative method is used to compute the vacuum polarization tensor and its corresponding induced current for the case of a charged scalar field in the presence of an external electromagnetic field. Charge renormalization is brought into discussion for the interpretation of the results for the vacuum polarization.

Vacuum polarization of generalized quantum electrodynamics in the Heisenberg picture

2020 ◽  
Vol 35 (04) ◽  
pp. 2050012
Author(s):  
David Montenegro
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
General Structure ◽  
Higher Order ◽  
Polarization Tensor ◽  
Induced Current ◽  
Heisenberg Picture ◽  
Qualitative And Quantitative ◽  
Physical Implication ◽  
Charge Renormalization

In this work, we consider the generalized quantum electrodynamics proposed by Podolsky in Heisenberg picture via Källén methodology. We investigate the effects of higher-order derivatives to understand the qualitative and quantitative aspects of vacuum polarization. In addition, the most general structure of induced current and polarization tensor that emerge naturally by a perturbative scheme “à la” Källén is also obtained. Afterward, we discuss the physical implication of charge renormalization in the perspective of unitary and stable Podolsky theory.

scholarly journals GAUGED THIRRING MODEL IN THE HEISENBERG PICTURE

2000 ◽  
Vol 15 (20) ◽  
pp. 3263-3275 ◽  
Author(s):  
J. T. LUNARDI ◽  
B. M. PIMENTEL ◽  
L. A. MANZONI
Keyword(s):  
Gauge Theory ◽  
Gauge Boson ◽  
Vacuum Polarization ◽  
Thirring Model ◽  
Polarization Tensor ◽  
Radiative Corrections ◽  
Heisenberg Picture ◽  
Boson Propagator ◽  
Vacuum Polarization Tensor

We consider the (2+1)-dimensional gauged Thirring model in the Heisenberg picture. In this context we evaluate the vacuum polarization tensor as well as the corrected gauge boson propagator and address the issues of generation of mass and dynamics for the gauge boson (in the limits of QED3 and Thirring model as a gauge theory, respectively) due to the radiative corrections.

scholarly journals THE ANAPOLE MOMENT IN SCALAR QUANTUM ELECTRODYNAMICS

2010 ◽  
Vol 25 (37) ◽  
pp. 3145-3150 ◽  
Author(s):  
A. BASHIR ◽  
Y. CONCHA-SÁNCHEZ ◽  
M. E. TEJEDA-YEOMANS ◽  
J. J. TOSCANO
Keyword(s):  
Quantum Electrodynamics ◽  
Scalar Particle ◽  
Charged Scalar ◽  
Current Conservation ◽  
Anapole Moment ◽  
Effective Lagrangian ◽  
Physical Observable ◽  
Scalar Quantum ◽  
Charged Scalar Particle ◽  
Shell Particles

The anapole moment of a massless charged scalar particle is studied in a model-independent fashion, using the effective Lagrangian technique, as well as radiatively within the context of scalar quantum electrodynamics (SQED). It is shown that this gauge structure is characterized by a non-renormalizable interaction, which is radiatively generated at one-loop. It is found that the resulting anapole moment for off-shell particles, though free of ultraviolet divergences, is gauge dependent and thus it is not a physical observable. We also study some of its kinematical limits. In particular, it is shown that its value comes out to be zero when the photon is on-shell and the momenta squared of the incoming and outgoing scalars are equal. It is a stronger statement than it being zero for all particles being on-shell which is required by the current conservation.

VACUUM FLUCTUATION CORRECTIONS TO MAXWELL ELECTRODYNAMICS REVISITED

2013 ◽  
Vol 28 (19) ◽  
pp. 1350095
Author(s):  
J. L. TOMAZELLI ◽  
D. E. ZANELLATO
Keyword(s):  
Quantum Electrodynamics ◽  
Zero Point ◽  
External Electromagnetic Field ◽  
Dirac Field ◽  
Fermion Field ◽  
Point Energy ◽  
Effective Lagrangian ◽  
Maxwell Electrodynamics ◽  
Scalar Quantum ◽  
Lagrangian Densities

The influence of an external electromagnetic field on the vacuum structure of a quantized Dirac field is investigated by considering the quantum corrections to classical Maxwell's Lagrangian density induced by fluctuations of the nonperturbative vacuum. Effective Lagrangian densities for Maxwell's theory in (3 + 1) and (2 + 1) dimensions are derived from the vacuum zero-point energy of the fermion field in the context of a consistent Pauli–Villars–Rayski subtraction scheme, recovering Euler–Kockel–Heisenberg and Maxwell–Chern–Simons effective theories. Effective Scalar Quantum Electrodynamics is also discussed.

VACUUM POLARIZATION TENSOR IN THREE-DIMENSIONAL QUANTUM ELECTRODYNAMICS

1992 ◽  
Vol 07 (21) ◽  
pp. 5307-5316 ◽  
Author(s):  
B.M. PIMENTEL ◽  
A.T. SUZUKI ◽  
J.L. TOMAZELLI
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Three Dimensional ◽  
Boson Mass ◽  
Polarization Tensor ◽  
Regularization Technique ◽  
Abelian Case ◽  
Gauge Boson Mass ◽  
The One ◽  
Vacuum Polarization Tensor

We evaluate the one-loop vacuum polarization tensor for three-dimensional quantum electrodynamics (QED), using an analytic regularization technique, implemented in a gauge-invariant way. We show thus that a gauge boson mass is generated at this level of radiative correction to the photon propagator. We also point out in our conclusions that the generalization for the non Abelian case is straightforward.

scholarly journals The causal approach proof for the equivalence of SDKP4 and SQED4 at tree-level

2020 ◽  
Vol 35 (09) ◽  
pp. 2050042
Author(s):  
J. Beltrán ◽  
B. M. Pimentel ◽  
D. E. Soto
Keyword(s):  
Perturbation Theory ◽  
Gauge Theory ◽  
Cross Section ◽  
Quantum Electrodynamics ◽  
Electromagnetic Interaction ◽  
Tree Level ◽  
Alternative Formulation ◽  
Complete Proof ◽  
Scalar Quantum ◽  
Causal Approach

The description of the electromagnetic interaction of charged spinless particles is usually formulated by the Scalar Quantum Electrodynamics. However, there is an alternative formulation given by the Duffin–Kemmer–Petiau theory: the Scalar DKP gauge theory. The proof of the equivalence between these two formulations has been discussed in many researches, but there is not yet a conclusive proof. In this paper, we initiate a complete proof in the framework of the Causal Perturbation theory, showing that both scalar formulations provide the same results for the differential cross-section at tree level.

AMBIGUITIES AND SYMMETRY RELATIONS IN FIVE-DIMENSIONAL PERTURBATIVE CALCULATIONS: THE EXPLICIT EVALUATION OF THE QED5 VACUUM POLARIZATION TENSOR

2013 ◽  
Vol 28 (27) ◽  
pp. 1350135
Author(s):  
M. V. S. FONSECA ◽  
T. J. GIRARDI ◽  
G. DALLABONA ◽  
O. A. BATTISTEL
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Space Time ◽  
General Character ◽  
Polarization Tensor ◽  
Time Dimension ◽  
Perturbative Calculations ◽  
Explicit Evaluation ◽  
The One ◽  
Vacuum Polarization Tensor

An explicit evaluation of the D = 4+1 quantum electrodynamics (QED) vacuum polarization tensor is presented. The calculations are made preserving all the intrinsic arbitrariness involved in such type of problem. The internal momenta are assumed arbitrary in order to preserve the possibility of dependence on such kind of choice, due to the superficial degree of divergence involved. An arbitrary scale is introduced in the separation of terms having different degrees of divergences in order to preserve the possibility of scale ambiguities. In the performed steps the effects of regularizations are avoided by using an adequate strategy to handle the problem of divergences in Quantum Field Theory perturbative calculations. Given this attitude it is possible to get clean and sound conclusions about the consistency requirements involved in perturbative calculations D = 4+1 space–time dimension. At the final a symmetry preserving and ambiguities free result is obtained allowing the renormalization of the photon propagator at the one-loop level. The simplicity added to the general character of the adopted procedure allows us to believe that the referred strategy can be used without restrictions of applicability in perturbative calculations made in theories formulated in a space–time having extra dimensions relative to the physical one (D = 3+1) producing consistent results, in odd and even dimensions, in spite of the nonrenormalizable character.

scholarly journals SECOND-ORDER CORRECTIONS TO QED COUPLING AT LOW TEMPERATURE

2008 ◽  
Vol 23 (29) ◽  
pp. 4709-4719 ◽  
Author(s):  
SAMINA S. MASOOD ◽  
MAHNAZ HASEEB
Keyword(s):  
Low Temperatures ◽  
Vacuum Polarization ◽  
Second Order ◽  
Electromagnetic Properties ◽  
Electron Mass ◽  
Polarization Tensor ◽  
Coupling Constant ◽  
Electric Permittivity ◽  
Thermal Medium ◽  
Vacuum Polarization Tensor

We calculate the second-order corrections to vacuum polarization tensor of photons at low temperatures, i.e. T ≪ 1010 K (T ≪ me). The thermal contributions to the QED coupling constant are evaluated at temperatures below the electron mass that is T < me. Renormalization of QED at these temperatures has explicitly been checked. The electromagnetic properties of such a thermal medium are modified. Parameters like electric permittivity and magnetic permeability of such a medium are no more constant and become functions of temperature.

Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture

2021 ◽  
pp. 2150142
Author(s):  
David Montenegro ◽  
B. M. Pimentel
Keyword(s):  
Gauge Invariance ◽  
Quantum Electrodynamics ◽  
Mass Shell ◽  
Natural Extension ◽  
Quantum Model ◽  
Covariant Quantization ◽  
Heisenberg Picture ◽  
Maxwell Electrodynamics ◽  
Loop Amplitude ◽  
The One

We examine the generalized quantum electrodynamics as a natural extension of the Maxwell electrodynamics to cure the one-loop divergence. We establish a precise scenario to discuss the underlying features between photon and fermion where the perturbative Maxwell electrodynamics fails. Our quantum model combines stability, unitarity, and gauge invariance as the central properties. To interpret the quantum fluctuations without suffering from the physical conflicts proved by Haag’s theorem, we construct the covariant quantization in the Heisenberg picture instead of the Interaction one. Furthermore, we discuss the absence of anomalous magnetic moment and mass-shell singularity.

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