Volume 124, Number 6, December 2018
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||10 January 2019|
Antisymmetric tensor propagator with spontaneous Lorentz violation
1 Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici - C.P. 6030, 60455-760 Fortaleza-CE, Brazil
2 Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Juazeiro do Norte 63040-000 Juazeiro do Norte-CE, Brazil
Received: 20 September 2018
Accepted: 27 November 2018
In this work, we study the spontaneous Lorentz symmetry breaking due to an antisymmetric 2-tensor field in Minkowski spacetime. For a smooth quadratic potential, the spectrum of the theory exhibits massless and massive excitations. We show that the equations of motion for the free field obey some constraints which lead to the massive mode being nonpropagating at leading order. Besides, there exists a massless mode in the theory which can be identified with the usual Kalb-Ramond field, carrying only one on-shell degree of freedom. The same conclusion holds when one analyses the pole structure of its Feynman propagator. A new complete set of spin-type operators is found, which was the requirement to evaluate the propagator of the Kalb-Ramond field modified by the presence of a nonzero vacuum expectation value responsible for the Lorentz violation.
PACS: 12.60.-i – Models beyond the standard model / 11.30.Qc – Spontaneous and radiative symmetry breaking / 03.65.Pm – Relativistic wave equations
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