Particles As Bound States In Their Own Potentials

Details Particles As Bound States In Their Own Potentials Particles As Bound States In Their Own Potentials

1998-03-31

arxiv.org/abs/gr-qc/9803096v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, plain TeX

Scientific paper

I consider the problem of computing the mass of a charged, gravitating particle in quantum field theory. It is shown how solving for the first quantized propagator of a particle in the presence of its own potentials reproduces the gauge and general coordinate invariant sum over an infinite class of diagrams. The distinguishing feature of this class of diagrams is that all closed loops contain part of the continuous matter line running from early to late times. The next order term would have one closed loop external to the continuous matter line, and so on. I argue that the gravitational potentials in the 0-th order term may permit the formation of bound states, which would then dominate the propagator. It is conceivable that this provides an tractable technique for computing the masses of fundamental particles from first principles. It is also conceivable that the expansion in external loops permits gravity to regulate certain ultraviolet divergences.

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