English

Vacuum Energy, Variational Methods and the Casimir Energy

High Energy Physics - Theory 2009-10-31 v1 General Relativity and Quantum Cosmology

Abstract

Following the subtraction procedure for manifolds with boundaries, we calculate by variational methods, the Schwarzschild and Flat space energy difference. The one loop approximation for TT tensors is considered here. An analogy between the computed energy difference in momentum space and the Casimir effect is illustrated. We find a singular behaviour in the UV-limit, due to the presence of the horizon when r=2m.r=2m. When r>2mr>2m this singular behaviour disappears, which is in agreement with various other models previously presented.

Keywords

Cite

@article{arxiv.hep-th/9902006,
  title  = {Vacuum Energy, Variational Methods and the Casimir Energy},
  author = {Remo Garattini},
  journal= {arXiv preprint arXiv:hep-th/9902006},
  year   = {2009}
}

Comments

Revtex 3.0, 19 pages, Submitted to Phys. Rev. D