Thermal effective Lagrangian of generalized electrodynamics in static gravitational fields

Abstract

In this paper we compute the effective Lagrangian of static gravitational fields interacting with thermal fields of generalized electrodynamics at high temperature. We employ the usual Matsubara imaginary-time formalism to obtain a closed form expression to the thermal effective Lagrangian at one-loop and two-loop order, in an arbitrary $\omega$-dimensional spacetime, in which the equivalence between the static hard thermal loops and those with zero external energy-momentum is widely explored. Afterwards, the symmetries of the resulting expressions are discussed as well as the presence of the Tolman \emph{local} temperature.

15 pages. arXiv admin note: text overlap with arXiv:1311.2519 by other authors

References in corpus (5)

• Path Integral Quantization of Generalized Quantum Electrodynamics
• Renormalizability of generalized quantum electrodynamics
• Higher-derivative non-Abelian gauge fields via the Faddeev-Jackiw formalism
• Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics
• The long wavelength limit of hard thermal loop effective actions

Cited by in corpus (1)

• On the Bhabha scattering for $z=2$ Lifshitz QED