Current Algebras in a Simple Model

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概要

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• We use third and fourth order perturbation theory in a renormalizable interacting quark model to compare operator parts of equal time commutators with their conventionally expected values. In the case of matrix elements between spin-less states, all commutators have extra terms except the V_0, A_0 algebra, [V_j, A_κ], [S, S] [S, P] and [P, P]. If we consider also a neutral vector field coupled to quark number, then [V_0, A_0] and [V_j, A_κ] acquire extra terms. If, in addition, V currents which are even and A currents which are odd under charge conjugation are present, we conjecture that only the doubly integrated V_0, A_0 algebra remains intact. The same comment applies to S and P currents with negative C parity. The Jacobi identity in general fails for successive equal time commutators (this is because an interchange of limits is involved, although it holds (in our model) for the V_0, A_0 algebra).

• 理論物理学刊行会の論文

著者

• Low F.e.

  Laboratory For Nuclear Science And Physics Department Massachusetts Institute Of Technology

• JOHNSON K.

  Laboratory for Nuclear Science and Physics Department Massachusetts Institute of Technology

関連論文

• Current Algebras in a Simple Model

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