1 1 1 M ar 1 99 4 DIAS - STP - 94 - 05 February 1994

نویسنده

  • Brian P. Dolan
چکیده

The renormalisation group equation for N -point correlation functions can be interpreted in a geometrical manner as an equation for Lie transport of amplitudes in the space of couplings. The vector field generating the diffeomorphism has components given by the βfunctions of the theory. It is argued that this simple picture requires modification whenever any one of the points at which the amplitude is evaluated becomes close to any other. This modification requires the introduction of a connection on the space of couplings and new terms appear in the renormalisation group equation involving co-variant derivatives of the β-function and the curvature associated with the connection. It is shown how the connection is related to the operator expansion co-efficients, but there remains an arbitrariness in its definition. * Work partly supported by an Alexander von Humboldt research stipendium. 1 §

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تاریخ انتشار 1994