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Schwinger-Dyson equations and dynamic symmetry violation in two-dimensional quantum quadratic gravitation

  • Physics of Elementary Particles and Field Theory
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Russian Physics Journal Aims and scope

Abstract

The dynamic violation of symmetry in two-dimensional quantum gravitation with the action quadratic in the curvature over a flat background is studied. The Schwinger-Dyson equation method is used in the ladder approximation. A numerical analysis of the equations for the structural functions defining the precise fermion propagator is given. The existence of a critical value of the coupling constant, which corresponds to dynamic violation of symmetry and the appearance of the bifermion condensate, is shown. The dependence of the dynamic mass on the coupling constant is found.

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Authors
  1. Yu. I. Shil’nov
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  2. V. V. Chitov
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  3. A. T. Kotvitskii
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Additional information

Kharkov State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 40–44, March, 1997.

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Shil’nov, Y.I., Chitov, V.V. & Kotvitskii, A.T. Schwinger-Dyson equations and dynamic symmetry violation in two-dimensional quantum quadratic gravitation. Russ Phys J 40, 251–255 (1997). https://doi.org/10.1007/BF02510825

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  • DOI: https://doi.org/10.1007/BF02510825

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