Renormalizability of semiquantized fields
Abstract
Description
A definition is given, in the framework of stochastic quantization, for the dynamics of a system composed of classical and quantum degrees of freedom mutually interacting. It is found that the theory breaks reflection positivity, and hence it is unphysical. The Feynman rules for the Euclidean vacuum expectation values are derived and the perturbative renormalizability of the theory is analyzed. Contrary to the naive expectation, the semiquantized theory turns out to be less renormalizable, in general, than the corresponding completely quantized theory.
Plain TeX, 17 pages plus 8 figures (uuencoded, put with 'figures'). There are major modifications
Plain TeX, 17 pages plus 8 figures (uuencoded, put with 'figures'). There are major modifications