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arXiv · 1612.07344

The Unruh effect for higher derivative field theory

Jasel Berra-Montiel·Jairo Martínez-Montoya·Alberto Molgado
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Abstract

We analyse the emergence of the Unruh effect within the context of a field Lagrangian theory associated to 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 $\mathcal{PT}$-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 as may be traced back to the Bogoliubov transformation associated to the interaction between the Unruh-DeWitt detector and the higher derivative scalar field. On the contrary, 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.

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Jasel Berra-Montiel, Jairo Martínez-Montoya, Alberto Molgado. 2017-03-28. The Unruh effect for higher derivative field theory. https://doi.org/10.1088/1361-6382%2Faa601f

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