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Field theory of massive vector bosons in a model with spontaneously broken symmetry

Kurt Haller and Garner Bishop*

  • Department of Physics, University of Connecticut, Storrs, Connecticut 06268

  • *Partially based on a thesis to be submitted by G. B. to the University of Connecticut in partial fulfillment of the requirements for the Ph. D. degree.
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Phys. Rev. D 21, 368 – Published 15 January, 1980

DOI: https://doi.org/10.1103/PhysRevD.21.368

Abstract

We study the spectrum of particle states for a charged scalar field interacting with an electromagnetic field in the Lorentz gauge. The Lagrangian contains the quartic self-coupling and imaginary-mass terms that give the scalar field a nonvanishing vacuum expectation value, and the symmetry of the model is spontaneously broken. We identify the massive vector boson and demonstrate that our identification is consistent by showing that the transverse and zero-helicity modes transform correctly among themselves in a Lorentz transformation. We show that each of the helicity modes obeys the Gupta-Bleuler subsidiary condition. We identify the Proca field contained in the theory.

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References (19)

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  12. [5,6,10]
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  14. Omitted endnote

  15. [5]
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  17. Omitted endnote

  18. K. Haller and R. Sohn, J. Math. Phys. 19, 1589 (1978)
  19. S. Gasiorowicz, Elementary Particle Physics (Wiley, New York, 1966), Chap. 3

Outline

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Phys. Rev. D 21, 368– Published 15 January, 1980
  • Received 28 June 1979

© 1980 American Physical Society

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