Two-point functions with an invariant Planck scale and thermal effects

Abstract

Nonlinear deformations of relativistic symmetries at the Planck scale are usually addressed in terms of modified dispersion relations. We explore here an alternative route by directly deforming the two-point functions of an underlying field theory. The proposed deformations depend on a length parameter (Planck length) and preserve the basic symmetries of the corresponding theory. We also study the physical consequences implied by these modifications at the Planck scale by analyzing the response function of an accelerated detector in Minkowski space, an inertial one in de Sitter space, and also in a black hole spacetime.

12 pages, no figures

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• Acceleration radiation and the Planck scale

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• Quantum Gravity signatures in the Unruh effect
• Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
• Gravity and Quantum Theory: Domains of Conflict and Contact
• Modified dispersion relations and the response of the rotating Unruh-DeWitt detector
• Quantum estimation in an expanding spacetime
• Bell inequalities violation within non-Bunch-Davies states
• Insensitivity of Hawking radiation to an invariant Planck-scale cutoff
• On the duality of Schwarzschild-de Sitter spacetime and moving mirror
• Absence of Unruh effect in polymer quantization
• Particle production and transplanckian problem on the non-commutative plane
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Acceleration radiation, transition probabilities, and trans-Planckian physics
• Aspects of Quantum Gravity in Cosmology