Stochastic quantization of scalar fields in Einstein and Rindler spacetime

@article{Menezes2007StochasticQO,
  title={Stochastic quantization of scalar fields in Einstein and Rindler spacetime},
  author={Gabriel Menezes and N. F. Svaiter},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2007},
  volume={40},
  pages={8545 - 8568}
}
  • G. MenezesN. Svaiter
  • Published 6 June 2007
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We consider the stochastic quantization method for scalar fields defined in a curved manifold and also in a flat spacetime with event horizon. The two-point function associated with a massive self-interacting scalar field is evaluated, up to the first-order level in the coupling constant λ, for the case of an Einstein and also a Rindler Euclidean metric, respectively. Its value for the asymptotic limit of the Markov parameter τ → ∞ is exhibited. The divergences therein are taken care of by… 
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