Research Paper#Quantum Field Theory, Unruh Effect, Group Theory🔬 ResearchAnalyzed: Jan 3, 2026 16:23
Affine Symmetry and the Unruh Effect
Published:Dec 27, 2025 16:58
•1 min read
•ArXiv
Analysis
This paper provides a group-theoretic foundation for understanding the Unruh effect, a phenomenon where accelerated observers perceive a thermal bath of particles even in a vacuum. It leverages the affine group's representation to connect inertial and accelerated observers' perspectives, offering a novel perspective on vacuum thermal effects and suggesting potential applications in other quantum systems.
Key Takeaways
- •Provides a group-theoretic understanding of the Unruh effect.
- •Utilizes the affine group's representation to connect inertial and accelerated observers.
- •Derives the thermal spectrum using the Mellin transform.
- •Suggests potential applications in other quantum systems.
Reference
“We show that simple manipulations connecting these two representations involving the Mellin transform can be used to derive the thermal spectrum of Rindler particles observed by an accelerated observer.”