On Covariant Derivatives and Gauge Invariance in the Proper Time Formalism for String Theory

Details On Covariant Derivatives and Gauge Invariance in the Proper Time Formalism for String Theory On Covariant Derivatives and Gauge Invariance in the Proper Time Formalism for String Theory

1995-11-22

arxiv.org/abs/hep-th/9511153v2

Mod.Phys.Lett. A11 (1996) 317-330

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 18 pages

Scientific paper

10.1142/S0217732396000369

It is shown that the idea of ``minimal'' coupling to gauge fields can be conveniently implemented in the proper time formalism by identifying the equivalent of a ``covariant derivative''. This captures some of the geometric notion of the gauge field as a connection. The proper time equation is also generalized so that the gauge invariances associated with higher spin massive modes can be made manifest, at the free level, using loop variables. Some explicit examples are worked out illustrating these ideas.

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