Entropy, holography and the second law

Abstract

The geometric entropy in quantum field theory is not a Lorentz scalar and has no invariant meaning, while the black hole entropy is invariant. Renormalization of entropy and energy for reduced density matrices may lead to the negative free energy even if no boundary conditions are imposed. Presence of particles outside the horizon of a uniformly accelerated observer prevents the description in terms of a single Unruh temperature.

4 pages, RevTex 4, 1 eps figure

References in corpus (5)

• Quantum Information and Relativity Theory
• Thermal Fluctuations and Black Hole Entropy
• Notes on Spacetime Thermodynamics and the Observer-dependence of Entropy
• On the Status of Highly Entropic Objects
• The Holographic Entropy Bound and Local Quantum Field Theory

Cited by in corpus (9)

• Quantum entanglement
• Black Rings, Boosted Strings and Gregory-Laflamme
• Bulk Entropy in Loop Quantum Gravity
• From qubits to black holes: entropy, entanglement and all that
• The entropic boundary law in BF theory
• From holography to the geometry of the spacetime
• Entanglement, space-time and the Mayer-Vietoris theorem
• The Dirac Equation and General Linear Transformations of Coordinate Systems
• Higher entanglement and fidelity with a uniformly accelerated partner via non-orthogonal states