Quanta of Non-Abelian Gauge Field Can Be Transversal?
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Transverse non-abelian gauge field is usually described by canonical conjugate variables B^^∧ and G. It is easy to express G in terms of gauge field B^^∧, its time derivative ∂_0B^^∧ and source fields. Then, in quantum theory , we have three methods to calculate ∂_0B^^∧, and each of them gives a different expression to double commutator terms in wave equation of gauge field. The discrepancy is purely quantum-theoretical. Its origin is in the facts that covariant derivative of gauge field depends on ∂_0B^^∧ in a non-trivial way, and that there are two operators to project ∂_0B^^∧ out of the covariant derivative. In short, there is yet not satisfactory quantum theory of transverse non-abelian gauge field, although we have consisten classical lagrangian formalism for the field.
- 理論物理学刊行会の論文
- 1979-05-25
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