abstract

• We analyse the emergence of the Unruh effect within the context of a field Lagrangian theory associated with the Pais-Uhlenbeck fourth order oscillator model. To this end, we introduce a transformation that brings the Hamiltonian bounded from below and is consistent with PT -symmetric quantum mechanics. We find that, as far as we consider different frequencies within the Pais Uhlenbeck model, a particle together with an antiparticle of different masses are created and may be traced back to the Bogoliubov transformation associated with the interaction between the Unruh-DeWitt detector and the higher derivative scalar field. In contrast, whenever we consider the equal frequencies limit, no particle creation is detected as the pair particle/ antiparticle annihilate each other. Further, following Moschella and Schaeffer, we construct a Poincaré invariant two-point function for the Pais-Uhlenbeck model, which in turn allows us to perform the thermal analysis for any of the emanant particles. © 2017 IOP Publishing Ltd.

authors

• Berra Montiel Oscar Jasel
• Martínez-Montoya J.
• Molgado Ramos Alberto

publication date

• 2017-01-01

funding provided via

• CB-2014-243433  Grant

published in

• Classical and Quantum Gravity  Journal

keywords

• conformal gravity; higher order; Pais-Uhlenbeck; Unruh effect

Digital Object Identifier (DOI)

• 10.1088/1361-6382/aa601f

start page

end page

volume

• 34

issue

• 7