Slowly decaying classical fields, unitarity, and gauge invariance

Details Slowly decaying classical fields, unitarity, and gauge invariance Slowly decaying classical fields, unitarity, and gauge invariance

2005-12-02

arxiv.org/abs/hep-th/0512026v1

Phys.Rev.D74:085003,2006

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures

Scientific paper

10.1103/PhysRevD.74.085003

In classical external gauge fields that fall off less fast than the inverse of the evolution parameter (time) of the system the implementability of a unitary perturbative scattering operator ($S$-matrix) is not guaranteed, although the field goes to zero. The importance of this point is exposed for the counter-example of low-dimensionally expanding systems. The issues of gauge invariance and of the interpretation of the evolution at intermediate times are also intricately linked to that point.

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