Response of a rotating detector coupled to a polymer quantized field

Abstract

Assuming that high energy effects may alter the standard dispersion relations governing quantized fields, the influence of such modifications on various phenomena has been studied extensively in the literature. In different contexts, it has generally been found that, while super-luminal dispersion relations hardly affect the standard results, sub-luminal relations can lead to (even substantial) modifications to the conventional results. A polymer quantized scalar field is characterized by a series of modified dispersion relations along with suitable changes to the standard measure of the density of modes. Amongst the modified dispersion relations, one finds that the lowest in the series can behave sub-luminally over a small domain in wavenumbers. In this work, we study the response of a uniformly rotating Unruh-DeWitt detector that is coupled to a polymer quantized scalar field. While certain sub-luminal dispersion relations can alter the response of the rotating detector considerably, in the case of polymer quantization, due to the specific nature of the dispersion relations, the modification to the transition probability rate of the detector does not prove to be substantial. We discuss the wider implications of the result.

arXiv commentv2: minor corrections and clarifications made, to appear in PRD; v1: 8 pages, 6 figures

References in corpus (18)

• Modern tests of Lorentz invariance
• The Unruh effect and its applications
• Quantum Spacetime Phenomenology
• Quantum gravity, shadow states, and quantum mechanics
• Trans-Planckian redshifts and the substance of the space-time river
• The Rotating Quantum Vacuum
• On Signatures of Short Distance Physics in the Cosmic Microwave Background
• Acceleration Radiation for Orbiting Electrons
• Response of finite-time particle detectors in non-inertial frames and curved spacetime
• Polymer and Fock representations for a Scalar field
• The propagator in polymer quantum field theory
• Probes of the vacuum structure of quantum fields in classical backgrounds
• The Fulling-Unruh effect in general stationary accelerated frames
• Low energy Lorentz violation from modified dispersion at high energies
• Modified dispersion relations and the response of the rotating Unruh-DeWitt detector
• Polymer Quantization predicts radiation in inertial frames
• Absence of Unruh effect in polymer quantization
• Polymer-Fourier quantization of the scalar field revisited

Cited by in corpus (5)

• Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions
• Low energy Lorentz violation from high energy modified dispersion in inertial and circular motion
• Polymer quantization and advanced gravitational wave detector
• Low Energy Lorentz Violation in Polymer Quantization Revisited
• Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization