Vacuum polarization of a scalar field in wormhole spacetimes

Abstract

We study the effect of one-loop vacuum polarization on photon propagation in Siklos spacetimes in the geometric optics limit. We show that for photons with a general polarization in the transverse plane, the quantum correction vanishes in spacetimes with Hxy = 0. For photons polarized along a transverse axis, subluminal and superluminal solutions are admitted for certain subclasses of Siklos spacetimes. We investigate the results in the Kaigorodov and Defrise spacetimes and obtain explicit expressions for the phase velocities. In Kaigorodov spacetime with H ∼ x 3 , photons polarized along x-axis are subluminal in regions where H is positive, and superluminal in regions where H is negative, while photons polarized along y-axis are superluminal in H > 0 regions and subluminal in H < 0 regions. In Defrise spacetime, H ∼ x −2 , x-polarized and y-polarized photons are superluminal for H < 0 and subluminal for H > 0. We comment on motion in other Siklos spacetimes.

Statistical Properties of Klauder–perelomov Coherent States for the Morse Potential

“…For the pseudoharmonic oscillator the Barut-Girardello coherent states , as well as the photon-added Barut-Girardello coherent states was constructed [19], [20]. (see also, [21]).…”

Analytical approximation for⟨φ2⟩of a quantized scalar field in ultrastatic asymptotically flat spacetimes

“…The analytical approximations to h' 2 i and hT i for the conformally coupled massless fields [3,4,[7][8][9][10][11][12] give good results. Nevertheless, there still remains the problem of the extension of this type of approximations' applicability limits.…”

“…Nevertheless, there still remains the problem of the extension of this type of approximations' applicability limits. If the quantum field is massive but the mass of the field does not satisfy the condition (2) the analytical approximations to h' 2 i and hT i are even less numerous [3,4,[11][12][13][14].…”

Vacuum Polarization in Spatially-flat $N$-dimensional Friedman--Robertson--Walker Spacetimes

“…The background geometries range from wormholes [4][5][6][7] to black holes (and their singular or regular interiors) and from cosmology to topologically nontrivial spacetimes [8]. In the context of the present paper, the most important are the studies of the quantized fields in cosmology (see e.g., Refs.…”