Nonhamiltonian approach to conformal quantum field theory
Nonhamiltonian approach to conformal quantum field theory
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发表时间：
1974
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通讯作者：
A. Polyakov
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作者：
A. Polyakov
在小距离上给出了该理论所涉及的算子集完备性的一个要求，取代了通常理论中S-矩阵的酉性条件。得到了具有一定对称性的中间态对Wightman函数贡献的显式表达式。与定域条件一起，完备性条件导致了一组关于反常维数和相互作用常数的代数方程，这些方程可以被认为是这些量的求和规则。在四维空间中求出的方程的近似解与哈密顿方法的结果是等价的。（auth）
A requirement of completeness of the operator set involved in the theory at small distances is formulated which replaces the unitarity condition of the S- matrix in the usual theory. Explicit expressions are obtained for the contribution of the intermediate state with a definite symmetry in the Wightman function. Together with the localization'' condition the completeness condition leads to a set of algebraic equations for the anomalous dimensionalities and interaction constants which may be regarded as the sum rule for these quantities. The approximate solutions of the equations found in 4- epsilon dimension space yield results which are equivalent to the Hamiltonian approach. (auth)