The canonical structure of Podolsky generalized electrodynamics

Galvāo, Carlos A. P.; Pimentel, B. M.

doi:10.1139/p88-075

Cited by 78 publications

(122 citation statements)

References 2 publications

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“…The first part of the analysis relies by determining formally the constants Z i under suitable renormalization conditions. Therefore, to this aim, we define the gauge-fixed renormalized Lagrangian, in the gauge choice of the so-called generalized Lorenz condition [16]: Ω [A] = 1 + m −2 P ∂ µ A µ , and also introduce the counter-terms as the following prescription:…”

Section: Renormalization Schedulementioning

confidence: 99%

Renormalizability of generalized quantum electrodynamics

2012

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In this work we present the study of the renormalizability of the Generalized Quantum Electrodynamics (GQED4). We begin the article by reviewing the on-shell renormalization scheme applied to GQED4. Thereafter, we calculate the explicit expressions for all the counter-terms at one-loop approximation and discuss the infrared behavior of the theory as well. Next, we explore some properties of the effective coupling of the theory which would give an indictment of the validity regime of theory: m 2 ≤ k 2 < m 2 P . Afterwards, we make use of experimental data from the electron anomalous magnetic moment to set possible values for the theory free parameter through the one-loop contribution of Podolsky mass-dependent term to Pauli's form factor F2 q 2 .

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Section: Renormalization Schedulementioning

confidence: 99%

Renormalizability of generalized quantum electrodynamics

2012

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“…As it has been pointed out in several works [27][28][29][30][31] over the years, it has been clear for a long time that Maxwell's theory is not the only one to describe the electromagnetic field. One of the most successful generalizations is the generalized electrodynamics [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Higher-derivative non-Abelian gauge fields via the Faddeev–Jackiw formalism

Bufalo

Pimentel

2014

Eur. Phys. J. C

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In this paper we analyze two higher-derivative theories, the generalized electrodynamics and the AlekseevArbuzov-Baikov effective Lagrangian from the point of view of the Faddeev-Jackiw symplectic approach. It is shown that the full set of constraints is obtained directly from the zeromode eigenvectors, and that they are in accordance with wellknown results from Dirac's theory, a recurrent issue in the literature. The method shows to be rather economical in relation to the Dirac one, obviating thus unnecessary classification and calculations. Afterwards, to conclude we construct the transition amplitude of the non-Abelian theory following a constrained BRST method.

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“…and the corresponding generating functional is given by the path integral functional restricted to field configurations that satisfy (25). This restriction is attained by the insertion of two delta functionals, one for each plate, as follows…”

Section: Interaction Between Two Perfect Conducting Planes: the Casimmentioning

confidence: 99%