Yang-Mills-Higgs models with higher order derivatives

Janos Polonyi and Alicja Siwek
Phys. Rev. D 86, 125006 – Published 3 December 2012

Abstract

Models with higher order derivative terms in the kinetic energy not only appear as effective theories but also can be considered as elementary, renormalizable models in their own right. The extension of the Higgs mechanism is discussed for Yang-Mills-Higgs models, where the kinetic energy of the scalar field contains higher order derivatives. The connection term of the covariant derivatives generates a local potential for the gauge field in the phase with spontaneously broken global gauge symmetry that may break Lorentz symmetry in the vacuum. The relativistic, massless gauge bosons spectrum is found for small fluctuations, where the only remnant of the breakdown of the Lorentz symmetry is a shift of the energy induced by the expectation value of the temporal component of the gauge field, reminiscent of a chemical potential.

  • Received 28 September 2012

DOI:https://doi.org/10.1103/PhysRevD.86.125006

© 2012 American Physical Society

Authors & Affiliations

Janos Polonyi1 and Alicja Siwek2

  • 1High Energy Physics Theory Group, University of Strasbourg, CNRS-IPHC, 23 rue du Loess, BP28 67037 Strasbourg Cedex 2, France
  • 2Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

See Also

Spontaneous breakdown of Lorentz symmetry in scalar QED with higher order derivatives

Janos Polonyi and Alicja Siwek
Phys. Rev. D 84, 085014 (2011)

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Vol. 86, Iss. 12 — 15 December 2012

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