Thermal effective Lagrangian of generalized electrodynamics in static gravitational fields

Bufalo, R.

doi:10.1103/physrevd.90.025034

Cited by 6 publications

(11 citation statements)

References 46 publications

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“…[42] that the natural condition in the Bopp-Podolsky electrodynamics is the generalized Lorentz condition, Ω[A] = 1 + a 2 ∂ µ A µ . However, there are alternative gauge conditions that allow the same identification, in particular, and in order to preserve the order of the field equation, the so-called non-mixing gauge term [43,44],…”

Section: Introductionmentioning

confidence: 99%

Renormalization of generalized scalar Duffin-Kemmer-Petiau electrodynamics

et al. 2018

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The main goal of this work is to study systematically the quantum aspects of the interaction between scalar particles in the framework of Generalized Scalar Duffin-Kemmer-Petiau Electrodynamics (GSDKP). For this purpose the theory is quantized after a constraint analysis following Dirac's methodology by determining the Hamiltonian transition amplitude. In particular, the covariant transition amplitude is established in the generalized non-mixing Lorenz gauge. The complete Green's functions are obtained through functional methods and the theory's renormalizability is also detailed presented. Next, the radiative corrections for the Green's functions at α-order are computed; and, as it turns out, an unexpected m P -dependent divergence on the DKP sector of the theory is found. Furthermore, in order to show the effectiveness of the renormalization procedure on the present theory, a diagrammatic discussion on the photon self-energy and vertex part at α 2 -order are presented, where it is possible to observe contributions from the DKP self-energy function, and then analyse whether or not this novel divergence propagates to higherorder contributions. Lastly, an energy range where the theory is well defined: m 2 k 2 < m 2 p was also found by evaluating the effective coupling for the GSDKP. * rbufalo@ift.unesp.br † cardoso@ift.unesp.br ‡ nogueira@ift.unesp.br § pimentel@ift.unesp.br 1 arXiv:1510.04877v1 [hep-th] 16 Oct 20151 The historical development of this theory, among others, can be found in [1,2]. 2 Forsooth, Géhéniau decomposed Petiau's sixteen-dimensional algebra in terms of irreducible representations of ten dimensions (representing particles of spin 1), five dimensions (representing particles of spin 0), and a trivial representation without physical meaning of one dimension [7].3 This formalism can be extended to describe non-Abelian and gravitational fields [11].

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Section: Introductionmentioning

confidence: 99%

Renormalization of generalized scalar Duffin-Kemmer-Petiau electrodynamics

et al. 2018

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“…In this sense, our work implies that the standard cosmological model does not rule out Bopp-Podolsky massive photon gas as a real possibility. This very fact, along with the success of predictions by generalized quantum electrodynamics [23][24][25]28], motivates the continuing study of Bopp-Podolsky theory. In addition, the massive mode of Bopp-Podolsky photon may interact with charged particles present in the cosmic soup [54].…”

Section: Final Remarksmentioning

confidence: 99%

“…Moreover, in Bopp-Podolsky the extra term generates a massive mode which preserves the U (1) gauge invariance without the necessity of introducing new fields. Literature offers references with classical [22] and quantum [23][24][25] developments of Bopp-Podolsky's proposal; some of those works impose bounds on the massive Bopp-Podolsky photon [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

de Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology

Cuzinatto

Morais

Medeiros

et al. 2017

EPL

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We investigate the influence of massive photons on the evolution of the expanding universe. Two particular models for generalized electrodynamics are considered, namely de Broglie-Proca and Bopp-Podolsky electrodynamics. We obtain the equation of state (EOS) P = P (ε) for each case using dispersion relations derived from both theories. The EOS are inputted into the Friedmann equations of a homogeneous and isotropic space-time to determine the cosmic scale factor a(t). It is shown that the photon non-null mass does not significantly alter the result a ∝ t 1/2 valid for a massless photon gas; this is true either in de Broglie-Proca's case (where the photon mass m is extremely small) or in Bopp-Podolsky theory (for which m is extremely large).

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“…Hence, a study of Podolsky equations in the vacuum may shed some light on the question of the existence of monopoles as two Dirac strings (solenoids) have an interaction associated with the Podolsky mass [26]. Besides, the fact that the Podolsky characteristic length is associated with the size of the electron [44] could lead us to explore, by electron-positron scattering, the existence of Maxwell → Podolsky transition from the point of view of a mechanism which breaks the dual symmetry and generate mass. These speculations derive from our ignorance associated with the mechanisms behind the self-interaction of the particles and their sizes and deserve rigorous scientific analysis.…”

Section: Final Remarksmentioning

confidence: 99%

Reduction of order and Fadeev–Jackiw formalism in generalized electrodynamics

2019

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The aim of this work is to discuss some aspects of the reduction of order formalism in the context of the Fadeev-Jackiw symplectic formalism, both at the classical and the quantum level. We start by reviewing the symplectic analysis in a regular theory (a higher derivative massless scalar theory), both using the Ostrogradsky prescription and also by reducing the order of the Lagrangian with an auxiliary field, showing the equivalence of these two approaches. The interpretation of the degrees of freedom is discussed in some detail. Finally, we perform the similar analysis in a singular higher derivative gauge theory (the Podolsky electrodynamics), in the reduced order formalism: we claim that this approach have the advantage of clearly separating the symplectic structure of the model into a Maxwell and a Proca (ghost) sector, thus complementing the understanding of the degrees of freedom of the theory and simplifying calculations involving matrices.

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Thermal effective Lagrangian of generalized electrodynamics in static gravitational fields

Cited by 6 publications

References 46 publications

Renormalization of generalized scalar Duffin-Kemmer-Petiau electrodynamics

Renormalization of generalized scalar Duffin-Kemmer-Petiau electrodynamics

de Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology

Reduction of order and Fadeev–Jackiw formalism in generalized electrodynamics

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