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Gauge-invariant bilocal formalism in quantum field theory

  • Elementary Particle Physics and Field Theory
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Abstract

A gauge-invariant continuation of the S-matrix generating functional outside the mass shell is proposed. A generating functional of gauge-invariant Green functions is obtained. Using the path integral formalism, collective gauge-invariant bilocal field variables are introduced. With the aid of the bilocal formalism, an integral equation is obtained for the gauge-invariant spinor propagator. It is shown that the propagator of the bilocal field corresponds to the gauge-invariant wave function of a two-particle system in ladder approximation.

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Authors and Affiliations

  1. Polytechnical Institute, Gomel

    I. L. Solovtsov & V. G. Teplyakov

Authors
  1. I. L. Solovtsov
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  2. V. G. Teplyakov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 105–111, April, 1990.

The authors thank A. N. Sisakyan, N. B. Skachkov, and O. Yu. Shevchenko for their interest to this work and useful discussions of the obtained results.

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Solovtsov, I.L., Teplyakov, V.G. Gauge-invariant bilocal formalism in quantum field theory. Soviet Physics Journal 33, 372–377 (1990). https://doi.org/10.1007/BF00894224

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  • DOI: https://doi.org/10.1007/BF00894224

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