Local effects of the quantum vacuum in Lorentz-violating electrodynamics Article Swipe
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· 2017
· Open Access
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· DOI: https://doi.org/10.1103/physrevd.95.036011
· OA: W2565021136
The Casimir effect is one of the most remarkable consequences of the non-zero\nvacuum energy predicted by quantum field theory. In this paper we use a local\napproach to study the Lorentz violation effects of the minimal standard model\nextension on the Casimir force between two parallel conducting plates in the\nvacuum. Using a perturbative method similar to that used for obtaining the Born\nseries for the scattering amplitudes in quantum mechanics, we compute, at\nleading order in the Lorentz-violating coefficients, the relevant Green's\nfunction which satisfies given boundary conditions. The standard\npoint-splitting technique allow us to express the vacuum expectation value of\nthe stress-energy tensor in terms of the Green's function. We discuss its\nstructure in the region between the plates. We compute the renormalized vacuum\nstress, which is obtained as the difference between the vacuum stress in the\npresence of the plates and that of the vacuum. The Casimir force is evaluated\nin an analytical fashion by two methods: by differentiating the renormalized\nglobal energy density and by computing the normal-normal component of the\nrenormalized vacuum stress. We compute the local Casimir energy, which is found\nto diverge as approaching the plates, and we demonstrate that it does not\ncontribute to the observable force.\n