Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure

✍ Scribed by S. C. Lim

• Book ID: 104758607
• Publisher: Springer
• Year: 1983
• Tongue: English
• Weight: 425 KB
• Volume: 7
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00402246

✦ Synopsis

AB STRACT. It is shown that by applying Nelson's stochastic quantization scheme to a free linearized gravitational field tensor, one can associate with the resulting stochastic system a stochastic tensor field which coincides with the 'space' part of the Riemannian tensor in Euclidean space-time. However, such a stochastic field fails to satisfy the Markov property. Instead, it satisfies the reflection positivity. The Markovian structure of the stochastic fields associated with the electromagnetic field is also discussed.