Finite-temperature CFT in Rindler Vacuum

TL;DR

This paper explores how uniform acceleration affects the thermal perception of quantum fields in Rindler spacetime, providing numerical evidence for the Unruh effect and its implications for black hole thermodynamics.

Contribution

It offers a detailed numerical analysis of the thermal properties of quantum fields in Rindler vacuum, linking acceleration to thermality and horizon physics.

Findings

Acceleration increases perceived temperature of quantum fields.

Numerical simulations confirm Unruh effect predictions.

Insights into horizon thermality and black hole thermodynamics.

Abstract

This paper investigates the finite-temperature behavior of Conformal Field Theory (CFT) in Rindler vacuum, focusing on the relation between acceleration and thermality in quantum field theory. We illustrate how uniformly accelerated observers perceive the vacuum as a thermal state via Unruh effect, shedding light on the thermal properties of Rindler horizon. Through numerical simulations of the heat kernel, Unruh temperature, Planck distribution, and detector response, we demonstrate that acceleration enhances the thermal characteristics of quantum fields. These results provide important insights into horizon-induced thermality, with significant implications for black hole thermodynamics and quantum gravity.