Theoretical and Mathematical Physics

, Volume 116, Issue 3, pp 1050–1062 | Cite as

A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field

  • L. Accardi
  • I. V. Volovich
  • S. V. Kozyrev


When the stochastic approximation is used to calculate correlation functions in the model of a particle interacting with a quantum field, a new algebra with temperature-dependent commutation relations appears. This algebra generalizes the free (Boltzmann) algebra.


Correlation Function Phase Factor Stochastic Approximation Stochastic Limit Relativistic Quantum Field Theory 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • L. Accardi
    • 1
  • I. V. Volovich
    • 2
  • S. V. Kozyrev
    • 3
  1. 1.Centro Vito VolterraUniversita di Roma 2 di Tor VergataItaly
  2. 2.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  3. 3.Semenov Institute for Chemical PhysicsRussian Academy of SciencesMoscowRussia

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