Fields in the Language of String: Divergences and Renormalization

Details Fields in the Language of String: Divergences and Renormalization Fields in the Language of String: Divergences and Renormalization

2003-11-04

arxiv.org/abs/hep-th/0311026v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures, talk to 27th Johns Hopkins Workshop

Scientific paper

This paper describes my talk given to the 27th Johns Hopkins Workshop: Symmetries and Mysteries of M Theory, G\"oteborg, Sweden, 24-26 August, 2003. After a brief introduction to the lightcone worldsheet formalism for summing the planar diagrams of field theory, I explain how the {\it uv} divergences of quantum field theory translate to the new language of string. It is shown through one loop that, at least for scalar cubic vertices, the counter-terms necessary for Poincar\'e invariance in space-time dimensions $D\leq 6$ are indeed local on the worldsheet. The extension to cover the case of gauge field vertices will be more complicated due to the extra divergences at $p^+=0$ in lightcone gauge.

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