Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II

Schroer, Bert

doi:10.1016/j.shpsb.2010.03.002

Cited by 7 publications

(14 citation statements)

References 89 publications

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“…Whereas the first and third subsection are extensions of already published results [2][3][4], the derivation of the BMS symmetry from null-space holography is new.…”

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confidence: 89%

“…The most prominent case is the lightfront (LF) holography which is essentially the old lightfront quantization but now with a more careful formulation of what in the old days has been always neglected, namely the relation with the original bulk description. 7 From the point of symmetries, the restriction of the global bulk to the LF leaves a 7-parametric subgroup of the 10-parametric Poincaré group of 4-dimensional Minkowski spacetime: 5 parameters account for a lightlike translation, a lightlike dilation (the wedgepreserving boost transformation projected onto the LF) and the 3-parametric transverse Euclidean group, whereas the remaining two parameters are less obvious since they are the 2 "translations" of the Wigner little group (3 dimensional Euclidean subgroup of the 6 parametric Lorentzgroup) which leaves the lightray invariant [2][3][4].…”

Section: Holography On Null-surfaces and The Absence Of Transverse Vamentioning

confidence: 99%

“…It is perhaps less known that this localization-caused thermal behavior is also accompanied by a localization entropy [2,3] which behaves differently from the standard heat bath entropy. In the case of (inside or outside) black hole localization this entropy has nothing to do with the still illusive Quantum Gravity (QG) but belongs to the same thermal aspects as those discovered by Hawking. The localization-caused thermalization is methodologically related to the conceptual setting of "holographic projection" in which a bulk algebra is simplified by "projecting" it onto its causal horizon.…”

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confidence: 99%

“…The first who realized a possible physically relevant connection between the observations of QFT in the presence of event horizons and modular situations in QFT was Sewell [5][6][7]. The thermal aspects of modular theory should not came as a surprise since physicists who discovered certain aspects of this theory independent of mathematicians, 3 obtained their results while studying the conceptual problems of open systems in quantum statistical mechanics [9]. The more recent quantum field theoretical use of modular theory for modular localization is a adaptation of the Tomita-Takesaki modular theory of operator algebras to causal localization of states and operator algebras [9].…”

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confidence: 99%

“…3 The theory bears the name Tomita-Takesaki modular theory. Although Tomita discovered it, the theory would not have arrived at how we know it without essential contributions by Takesaki [10].…”

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confidence: 99%

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Bondi-Metzner-Sachs Symmetry, Holography on Null-surfaces and Area Proportionality of “Light-slice” Entropy

Schroer

2010

Found Phys

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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)). Dedicated to Detlev Buchholz on the occasion of his 65th birthday. B. Schroer ( ) CBPF, Rua Dr. Xavier Sigaud 150,

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“…Whereas the first and third subsection are extensions of already published results [2][3][4], the derivation of the BMS symmetry from null-space holography is new.…”

mentioning

confidence: 89%

Section: Holography On Null-surfaces and The Absence Of Transverse Vamentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Bondi-Metzner-Sachs Symmetry, Holography on Null-surfaces and Area Proportionality of “Light-slice” Entropy

Schroer

2010

Found Phys

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Top-Down Approaches in Physics

Primas

2017

Knowledge and Time

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Modular localization and the holistic structure of causal quantum theory, a historical perspective

Schroer

2015

Studies in History and Philosophy of Science Part B: Studies in

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Modular localization and the holistic structure of causal quantum theory, a historical perspectiveDedicated to the memory of Jürgen Ehlers Studies in History Recent insights into the conceptual structure of localization in QFT ("modular localization") led to clarifications of old unsolved problems. The oldest one is the Einstein-Jordan conundrum which led Jordan in 1925 to the discovery of quantum field theory. This comparison of fluctuations in subsystems of heat bath systems (Einstein) with those resulting from the restriction of the QFT vacuum state to an open subvolume (Jordan) leads to a perfect analogy; the globally pure vacuum state becomes upon local restriction a strongly impure KMS state. This phenomenon of localization-caused thermal behavior as well as the vacuum-polarization clouds at the causal boundary of the localization region places localization in QFT into a sharp contrast with quantum mechanics and justifies the attribute "holstic". In fact it positions the E-J Gedankenexperiment into the same conceptual category as the cosmological constant problem and the Unruh Gedankenexperiment. The holistic structure of QFT resulting from "modular localization" also leads to a revision of the conceptual origin of the crucial crossing property which entered particle theory at the time of the bootstrap S-matrix approach but suffered from incorrect use in the S-matrix settings of the dual model and string theory.The new holistic point of view, which strengthens the autonomous aspect of QFT, also comes with new messages for gauge theory by exposing the clash between Hilbert space structure and localization and presenting alternative solutions based on the use of stringlocal fields in Hilbert space. Among other things this leads to a radical reformulation of the EnglertHiggs symmetry breaking mechanism.

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Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II

Cited by 7 publications

References 89 publications

Bondi-Metzner-Sachs Symmetry, Holography on Null-surfaces and Area Proportionality of “Light-slice” Entropy

Bondi-Metzner-Sachs Symmetry, Holography on Null-surfaces and Area Proportionality of “Light-slice” Entropy

Top-Down Approaches in Physics

Modular localization and the holistic structure of causal quantum theory, a historical perspective

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