Further Developments in Stochastic Quantization

  • Khavtgain Namsrai
Part of the Fundamental Theories of Physics book series (FTPH, volume 13)


The stochastic quantization programme of classical canonical systems, proposed by Fényes (1952), Nelson (1966, 1967) and their followers Cufaro Petroni and Vigier (1979); Vigier (1979, 1982); Yasue (1979); de la Peña-Auerbach and Cetto (1975); Davidson (1979–82); Guerra and Ruggiero (1973), etc. has been enriched by new methods in recent years. These methods (see Chapters 8 and 9; Baulieu and Zwanziger, 1981; Zwanziger, 1981; Parisi and Wu, 1981; Niemi and Wijewardhana, 1982; Mc’Clain et al., 1982, 1983; etc.) rely on ideas of stochastic space-time (or vacuum fluctuation), and of the stochasticity of gauge fields, and the use of new techniques and concepts. A central role in these ideas is played by the fact that there exist stochastic solutions of a simple variant of the Yang-Mills theory, obtained by Matinyan et al. (1981a, b); Chirikov and Shepelyansky (1981).


Gauge Theory Stochastic Quantization Drift Force Stochastic Solution Vacuum Tunneling 
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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1986

Authors and Affiliations

  • Khavtgain Namsrai
    • 1
    • 2
  1. 1.Institute of Physics and Technology, Academy of SciencesMongolian People’s Republic
  2. 2.Joint Institute for Nuclear ResearchDubnaUSSR

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