Advances in Classical Field Theory

Author(s): Asher Yahalom

DOI: 10.2174/978160805195311101010195

The Emergence of non Abelian Gauge Field Theory from the Born - Oppenheimer Treatment

Pp: 195-224 (30)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

The study of non Abelian gauge theories is thought to be in the realm of quantum field theory, having to do mainly with the study of elementary particle phenomena. The non Abelian gauge theory widely known as the ”standard model” describes correctly all elementary particles and forces except gravity.

Our goal here is to show that non Abelian gauge theories appear also in physical settings in which the field need not be quantized (second quantization). Hence they can be considered as classical fields which are the subject of this book. In particular it will be shown that those fields appear in the study of molecular systems is the frame work of the Born - Oppenheimer theory.

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