Generalized canonical formalism and Smatrix of a theory with constraints of a general form
Abstract
A method for the canonical quantization of systems with firstclass and secondclass constraints of arbitrary rank is developed. The effectiveness of the method is demonstrated for the examples of YangMills and gravitational fields. Generalized quantization is carried out and an Smatrix in configuration space is obtained for theories of relativistic membranes having the form of the generalization of string theories to the case of an expanded spatial realization. It is shown that the theory of membranes in n = 1 measurement space is a system with constraints of rank n.
 Publication:

IN: Group theory
 Pub Date:
 1986
 Bibcode:
 1986gtge.book..180F
 Keywords:

 Canonical Forms;
 Formalism;
 Gauge Theory;
 Quantum Mechanics;
 S Matrix Theory;
 Differential Equations;
 Gauge Invariance;
 Gravitation Theory;
 Relativistic Theory;
 YangMills Theory;
 Physics (General)