The Unruh effect for higher derivative field theory

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 mechani...

Full description

Saved in:
Bibliographic Details
Published in:Classical and quantum gravity 2017-04, Vol.34 (7), p.75007
Main Authors: Berra-Montiel, Jasel, Martínez-Montoya, Jairo, Molgado, Alberto
Format: Article
Language:English
Subjects:
conformal gravity
higher order
Pais-Uhlenbeck
Unruh effect
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aa601f