Quantization of Podolsky theory in the BFV formalism

Barcelos-Neto, J.; Galvāo, Carlos A. P.; Natividade, C. P.

doi:10.1007/bf01562328

Cited by 15 publications

(17 citation statements)

References 17 publications

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“…Proceeding this way in [11], Galvao and Pimentel found a rich Hamiltonian structure involving three first-class constraints and calculated the resulting Dirac brackets after gauge fixing. The functional quantization of the same model was discussed three years later by Barcelos-Neto, Galvao and Natividade [12] using the Batalin-Fradkin-Vilkovisky (BFV) approach permitting a covariant gauge fixing. Once again the original phase space considered contained conjugated momenta to the field velocities and accelerations.…”

Section: Introductionmentioning

confidence: 99%

Reduced Order Podolsky Model

Thibes

2016

Braz J Phys

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We perform the canonical and path integral quantizations of a lower-order derivatives model describing Podolsky's generalized electrodynamics. The physical content of the model shows an auxiliary massive vector field coupled to the usual electromagnetic field. The equivalence with Podolsky's original model is studied at classical and quantum levels. Concerning the dynamical time evolution we obtain a theory with two first-class and two second-class constraints in phase space. We calculate explicitly the corresponding Dirac brackets involving both vector fields. We use the Senjanovic procedure to implement the second-class constraints and the Batalin-Fradkin-Vilkovisky path integral quantization scheme to deal with the symmetries generated by the first-class constraints. The physical interpretation of the results turns out to be simpler due to the reduced derivatives order permeating the equations of motion, Dirac brackets and effective action.

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Section: Introductionmentioning

confidence: 99%

Reduced Order Podolsky Model

Thibes

2016

Braz J Phys

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“…This choice is important if one wishes to interpret the extra degrees of freedom of BP model as physical massive excitations. Although the case of negative sign for the second term in S 0 above was considered in [6,9,10] describing tachionic mass excitations for the gauge field, we are not going to discuss it here but rather maintain the implementation consistent with the usual causality. Note that in Eq.…”

Section: Bopp-podolsky's Generalized Electrostaticsmentioning

confidence: 99%

Pauli–Villars regularization elucidated in Bopp–Podolsky’s generalized electrodynamics

Suzuki

Sales

et al. 2019

Eur. Phys. J. C

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We discuss an inherent Pauli-Villars regularization in Bopp-Podolsky's generalized electrodynamics. Introducing gauge-fixing terms for Bopp-Podolsky's generalized electrodynamic action, we realize a unique feature for the corresponding photon propagator with a built-in Pauli-Villars regularization independent of the gauge choice made in Maxwell's usual electromagnetism. According to our realization, the length dimensional parameter a associated with Bopp-Podolsky's higher order derivatives corresponds to the inverse of the Pauli-Villars regularization mass scale Λ, i.e. a = 1/Λ. Solving explicitly the classical static Bopp-Podolsky's equations of motion for a specific charge distribution, we explore the physical meaning of the parameter a in terms of the size of the charge distribution. As an offspring of the generalized photon propagator analysis, we also discuss our findings regarding on the issue of the two-term vs. three-term photon propagator in light-front dynamics. arXiv:1902.07632v1 [hep-th]

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“…Higher-order canonical quantization have been performed for some authors in the past [37][38][39][40]. Nevertheless, some questionable results are presented in these works.…”

Section: Lee-wick Canonical Quantizationmentioning

confidence: 99%

“…Higher order canonical quantization by Dirac formalism began in early 1960's. Since then, some authors tried to achieve the quantization of higher-order theories [47][48][49][50] via Dirac's method; on the other hand, canonical quantization of higher-order electromagnetism starting from the determination of primary and secondary constraints have been performed in references [37][38][39][40]. Nevertheless, there are some misconceptions in previous works.…”

Section: Lee-wick Canonical Quantizationmentioning

confidence: 99%

Probing Features of the Lee-Wick Quantum Electrodynamics

Turcati

Neves

2014

Advances in High Energy Physics

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In this paper we discuss some aspects concerning the electromagnetic sector of the abelian Lee-Wick (LW) quantum electrodynamics (QED). Using the Dirac's theory of constrained systems, the higher-order canonical quantization of the LW electromagnetism is performed. A quantum bound on the LW heavy mass is also estimated using the best known measurement of the anomalous magnetic moment of the electron. Finally it is shown that magnetic monopoles can coexist peacefully in the LW scenario. * Electronic address: turcati@cbpf.br † Electronic address: mariojr@ufrrj.br

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Quantization of Podolsky theory in the BFV formalism

Cited by 15 publications

References 17 publications

Reduced Order Podolsky Model

Reduced Order Podolsky Model

Pauli–Villars regularization elucidated in Bopp–Podolsky’s generalized electrodynamics

Probing Features of the Lee-Wick Quantum Electrodynamics

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