Facts and Fictions About Anti deSitter Spacetimes¶with Local Quantum Matter

Schroer, Bert

doi:10.1007/s002200100419

Cited by 4 publications

(3 citation statements)

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“…According to the authors, for the decaying segment of cos(Ht), this time-dependent solution describes a collapsing universe under the inuence of the negative constant vacuum energy density [13]. Many more examples could be given elsewhere [3], [43]. In particular, for further investigations, I consider an inverse situation of Alberghi's modeling, doing the core of the G-closure described by the Vaidya-adS ansatz given in equation 140, since radiation ows from dS external spacetime to the inner region due to the impacts of gravitons and the consequent mass intermediation mechanism between the two spacetimes.…”

Section: The Ads Background and The Paradigm For G-closuresmentioning

confidence: 99%

Thesaurus Theoriis Circa Gravitatis et Cetera

Serpa

2017

CALIBRE

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Thesaurus Theoriis Circa Gravitatis et Cetera is a compilation subdivided into two chapters, containing the complete research developed during author's post-doctoral period at the Brazilian Center of Physics Research - CBPF, Rio de Janeiro (2016 - 2017). From the heated discussions that took place in a climate of intense knowledge exchange, additions were made to the original text, making it more translucent to the readers.In the first chapter, the lecture notes related to the Summer Formative Activities -- 2017 were meant to compile the main ideas on gauge field theory and modern cosmology, showing the recent contributions of the author in these areas, especially in classical thermodynamics, supergravity and quantum gravity. Although the author has conducted the work without wishing to exhaust the issues in question, this synthesis provides some essential formal aspects for further studies, with relevant and updated references, as well as indications of classical readings. Special attention was given to author's application of Lyra's geometry, because of its growing importance in quantum cosmology, and to the so-called <<paleogravity>>, a model of supergravity developed by the author with the purpose to offer a classical representation for supergravity that could be made compatible with the quantum theory of spacetime also developed by himself. Also in general cosmology, the emphasis was on inhomogeneous models because of the debate that they open on the validity of the standard model. In this sense, the author presented his perturbative formalism of weak gravitational lensing by defining an inhomogeneous cosmological refractive index within a Lemaître-Tolman universe. Lastly, some remarks on Stephani cosmology were organized in order to expose the most significant features of this approach. During the reading, it shall be possible to observe some title marks indicating items of interest, as well as small side texts with outgivings of renowned authors.In the second chapter, the author expanded the discussion about the quantization of spacetime, previously opened, deepening his phenomenological analysis at the surroundings of supermassive bodies with the aid of the formalism of Green's functions. This approach also opens the way for a broader and dialectical debate on quantum gravity and supergravity, seeking to rescue a physical discourse and not merely the math exercise which has been predominant in some research groups.The author is immensely grateful to the colleagues and external participants for the contributions and affection with which he was received and from which a community of collaborative studies was formed on the most important topics in modern physics. Special thanks goes to our esteemed Professor Helayël, to whom the author directs his highest respects and wishes for a long and brilliant future.

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Section: The Ads Background and The Paradigm For G-closuresmentioning

confidence: 99%

Thesaurus Theoriis Circa Gravitatis et Cetera

Serpa

2017

CALIBRE

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“…A very simple presentation in the spirit of Rehren's approach which takes into account the covering of the relevant spaces can be found in [52].…”

Section: Modular Inclusions and Intersections Holographymentioning

confidence: 99%

New concepts in particle physics from the solution of an old problem

Schroer¹

2000

J. Phys. A: Math. Gen.

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Recent ideas on modular localization in local quantum physics are used to clarify the relation between on-and off-shell quantities in particle physics; in particular the relation between on-shell crossing symmetry and off-shell Einstein causality. Among the collateral results of this new nonperturbative approach are profound relations between crossing symmetry of particle physics and Hawking-Unruh like thermal aspects (KMS property, entropy attached to horizons) of quantum matter behind causal horizons, aspects which hitherto were exclusively related with Killing horizons in curved spacetime rather than with localization aspects in Minkowski space particle physics. The scope of this modular framework is amazingly wide and ranges from providing a conceptual basis for the d=1+1 bootstrap-formfactor program for factorizable d=1+1 models to a decomposition theory of QFT's in terms of a finite collection of unitarily equivalent chiral conformal theories placed a specified relative position within a common Hilbert space (in d=1+1 a holographic relation and in higher dimensions more like a scanning). The new framework gives a spacetime interpretation to the Zamolodchikov algebra and explains its thermal aspects.

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“…it goes far beyond that picture about the AdS-CQFT correspondence which is limited to the (infinitely remote) boundary of AdS (see in particular the remarks at the end of [5]). The AdS appearance of the AdS structure as a kind of reprocessed CQFT is less surprizing if one recalls the 6-dimensional lightcone formalism which one uses in order to obtain an efficient description of the conformal compactification M of Minkowski space M and the construction of its covering M [9].…”

Section: A Few Introductory Remarksmentioning

confidence: 99%

Particle versus field structure in conformal quantum field theories

Schroer

2000

Physics Letters B

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I show that a particle structure in conformal field theory is incompatible with interactions. As a substitute one has particle-like exitations whose interpolating fields have in addition to their canonical dimension an anomalous contribution. The spectra of anomalous dimension is given in terms of the Lorentz invariant quadratic invariant (compact mass operator) of a conformal generator Rµ with pure discrete spectrum. The perturbative reading of R0 as a Hamiltonian in its own right i.e. associated with an action in a functional integral setting naturally leads to the AdS formulation. The formal service role of AdS in order to access CQFT by a standard perturbative formalism (without being forced to understand first massive theories and then taking their scale-invariant limit) vastly increases the realm of conventionally accessible 4-dim. CQFT beyond those for which one had to use Lagrangians with supersymmetry in order to have a vanishing Beta-function. A few introductory remarksIdeas about the use of conformal quantum field theory entered particle physics for the first time at the height of the Kramers-Kronig dispersion relations [1]. They were met with reactions ranging from doubts to outright rejection and the subject lay dormant for another 10 years when it reemerged on the statistical mechanics side in connection with second order phase transitions.In the next section we will show that these early doubts of the old-time particle physicists were partially justified, because the particle structure in CQFT is indeed incompatible with interactions. However far from supplying a coffin nail for its utility in high energy physics, this no-go theorem also contains the message that one must use finer concepts in order preserve the usefulness of conformal quantum field theory as a theoretical laboratory for particle physics.

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Facts and Fictions About Anti deSitter Spacetimes¶with Local Quantum Matter

Cited by 4 publications

References 29 publications

Thesaurus Theoriis Circa Gravitatis et Cetera

Thesaurus Theoriis Circa Gravitatis et Cetera

New concepts in particle physics from the solution of an old problem

Particle versus field structure in conformal quantum field theories

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