It is shown that certain kinds of behavior, which hitherto were expected to be characteristic for classical gravity and quantum field theory in curved spacetime, as the infinite dimensional Bondi-Metzner-Sachs symmetry, holography on event horizons and an area proportionality of entropy, have in fact an unnoticed presence in Minkowski QFT.
This casts new light on the fundamental question whether the volume proportionality of heat bath entropy and the (logarithmically corrected) dimensionless area law obeyed by localization-induced thermal behavior are different geometric parametrizations which share a common primordial algebraic origin. Strong arguments are presented that these two different thermal manifestations can be directly related, this is in fact the main aim of this paper.
It will be demonstrated that QFT beyond the Lagrangian quantization setting receives crucial new impulses from holography onto horizons.
The present paper is part of a project aimed at elucidating the enormous physical range of “modular localization”. The latter does not only extend from standard Hamiltonian heat bath thermal states to thermal aspects of causal- or event-horizons addressed in this paper. It also includes the recent understanding of the crossing property of formfactors whose intriguing similarity with thermal properties was, although sometimes noticed, only sufficiently understood in the modular setting (Schroer in arXiv:0905.4006 (2009)).
Quantum field theory Localization-caused thermal behavior Holographic projections onto null-surfaces (horizons) Bondi-Metzner-Sachs symmetry as subgroup of infinite-dimensional holographic symmetry
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Schroer, B.: Localization and the interface between quantum mechanics, quantum field theory and quantum gravity I (the two antagonistic localizations and their asymptotic compatibility), Stud. Hist. Philos. Phys. B 41, 104 (2010)
Schroer, B.: Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II (The search of the interface between QFT and QG), Stud. Hist. Philos. Mod. Phys. (2010, to appear). arXiv:0912.2886