Nonperturbative Operator Quantization of Strongly Nonlinear Fields

2001/03/31 by V. Dzhunushaliev
Physics and Astronomy · #hep-th #cond-mat.supr-con #hep-ph

paper · pdf

published as Found.Phys.Lett. 16 (2003) 57-70 · minor corrections

arxiv created 2002/09/11 · arxiv updated 2009/11/30

Abstract

At present an algebra of strongly interacting fields is unknown. In this paper it is assumed that the operators of strongly nonlinear field can form a non-associative algebra. It is shown that such algebra can be described as an algebra of some pairs. The comparison of presented techniques with the Green's functions method in the superconductivity theory is made. A possible application to the QCD and High-T_c superconductivity theory is discussed.

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• A nonassociative operator decomposition of strongly interacting quantum fields
• Hamilton's equations in a non-associative quantum theory
• Quantization of strongly interacting fields
• Nonperturbative calculational method in quantum field theory
• Nonperturbative quantization technique for QCD