QUANTIZATION OF THE YANG-MILLS FIELD
The Yang-Mills field, which is a theory of this non-linear, gauge-type, which lies between electrodynamics and general relativity in complexity was examined. The quantum YangMills field is introduced as an auxiliary field which arises to satisfy the requirement of invariance under phase transformations of the second kind. The theory was then put into its first order form so as to make it amenable to quantization by the methods of the Schwinger Action Principle. Quantization was then carried out for two different gauge conditions, the first of which led to a perturbation treatment of the theory and the second to a rigorous treatment. It is shown that the conditions for a consistent quantization of the theory are satisfied for both cases to the order considered. An isotopic covariant derivative formalism analogous to that of Reimannian geometry was then introduced for both the classical and quantum case, and some of its ramifications are discussed. Finally, a number of problems which have evolved and which merit further investigation are discussed and suggestions concerning their approach are submitted. (Dissertation Abstr., 23: No. 4, 1962)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-17-005160
- OSTI ID:
- 4752075
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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