Corrections to Unruh effect in tunneling formalism and mapping with Hawking effect
نویسندگان
چکیده
We consider coordinate systems adapted to accelerated observers, construct a generalised Rindler metric and then adopt a specific form of it to compute the semiclassical Unruh temperature, using a WKB approximation within a Hamilton Jacobi analysis in the tunneling picture. Corrections to this temperature are next computed by going beyond the usual WKB approximation. A connection of the corrected Unruh temperature with the Hawking temperature is established. This connection is also explained through the method of Global Embedding Minkowski Spacetime (GEMS).
منابع مشابه
First Order Corrections to the Unruh Effect
First order corrections to the Unruh effect are calculated from a model of an accelerated particle detector of finite mass. We show that quantum smearing of the trajectory and large recoil essentially do not modify the Unruh effect. Nevertheless, we find corrections to the thermal distribution and to the Unruh temperature. In a certain limit, when the distribution at equilibrium remains exactly...
متن کاملQuantum Tunneling and Back Reaction
We give a correction to the tunneling probability by taking into account the back reaction effect to the metric of the black hole spacetime. We then show how this gives rise to the modifications in the semiclassical black hole entropy and Hawking temperature. Finally, we reproduce the familiar logarithmic correction to the Bekenstein-Hawking area law. In 1975, Hawking discovered [1] the remarka...
متن کاملQuantum Tunneling Beyond Semiclassical Approximation
Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical contribution. We show that a simple choice of the proportionality constants reproduces the one loop back reaction effect in the spacetime, found by conformal fiel...
متن کاملOn the Estimates to Measure Hawking Effect and Unruh Effect in the Laboratory
A comparison between the proposals made to measure Hawking-like effects and the Unruh effect in the laboratory is given at the level of their estimates. No satisfactory scheme exists as yet for their detection.
متن کاملLPTENS 96/10 TAU 2326-96 October 1996 THE SCHWINGER MECHANISM, THE UNRUH EFFECT AND THE PRODUCTION OF ACCELERATED BLACK HOLES
We compute the corrections to the transition amplitudes of an accelerated Unruh \box" that arise when the accelerated box is replaced by a \two level ion" immersed in a constant electric eld and treated in second quantization. There are two kinds of corrections, those due to recoil e ects induced by the momentum transfers and those due to pair creation. Taken together, these corrections show th...
متن کامل