Further Developments in Stochastic Quantization
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).
KeywordsGauge Theory Stochastic Quantization Drift Force Stochastic Solution Vacuum Tunneling
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