Homogeneous Renormalization Group Equations

概要

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A set of homogeneous renormalization group equations is derived on the basis of the inhomogeneous Callan-Symanzik equations in the neutral scalar theory, and the relation of these equations to those of Weinberg and of MacDowell is discussed. This set of homogeneous equations is further extended to quantum electrodynamics. As distinguished from the conventional Callan-Symanzik equations, the differential operator in these new equations can be regarded as the generator of renormalization group without approximations. Using this property, the general solution of the homogeneous renormalization group equations is obtained. Finally, in view of the infrared stability of electrodynamics, the validity of perturbation theory in the sliding coupling constant is examined by explicitly constructing the perturbation solution in the infrared limit. it is shown that the latter deviates from the exact solution.
理論物理学刊行会の論文
1977-02-25