Title Area density of localization-entropy I: the case of wedge-localization

Abstract

Using an appropriatly formulated holographic lightfront projection, we derive an area law for the localization-entropy caused by vacuum polarization on the horizon of a wedge region. Its area density has a simple kinematic relation to the volume extensive heat bath entropy of the lightfront algebra. Apart from a change of parametrization the infinite lighlike length contribution to the lightfront volume factor corresponds to the short-distance divergence of the area density of the localization entropy. This correspondence is a consequence of the conformal invariance of the lightfront holography combined with the well-known fact that in conformality relates short to long distances. In the explicit calculation of the strength factor we use the temperature duality relation of rational chiral theories whose derivation will be briefly reviewed. We comment on the potential relevance for the understanding of Black hole entropy.

This version will be published in Class. Quant. Grav. Some arguments and computations are presented in more detail. 29 pages

References in corpus (6)

• Quantum statistics and locality
• Noncommutative Spectral Invariants and Black Hole Entropy
• Two-dimensional models as testing ground for principles and concepts of local quantum physics
• An anthology of non-local QFT and QFT on noncommutative spacetime
• Constructive proposals for QFT based on the crossing property and on lightfront holography {Dedicated to Jacques Bros on the occasion of his 70th birthday}
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Cited by in corpus (6)

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• Temperature and entropy-area relation of quantum matter near spherically symmetric outer trapping horizons
• The Casimir Effect for Parallel Plates Revisited
• Conformal quantum field theory in various dimensions
• Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II (The search of the interface between QFT and QG)
• Modular dynamics in diamonds