Geometrical Expression for Short-Distance Singularities in Field Theory

Hidenori Sonoda

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arXiv · hep-th/9406035

Geometrical Expression for Short-Distance Singularities in Field Theory

Hidenori Sonoda

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Abstract

We consider the linear space of composite fields as an infinite dimensional vector bundle over the theory space whose coordinates are simply the parameters of a renormalized field theory. We discuss a geometrical expression for the short distance singularities of the composite fields in terms of beta functions, anomalous dimensions, and a connection. (Based upon a talk given at the International Colloquim on Modern Quantum Field Theory, 5--11 January 1994, Bombay, India.)

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Hidenori Sonoda. 1994-06-07. Geometrical Expression for Short-Distance Singularities in Field Theory. https://arxiv.org/abs/hep-th/9406035

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