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pro vyhledávání: '"Summers, Stephen J."'
Autor:
Summers, Stephen J.
An overview of the accomplishments of constructive quantum field theory is provided.
Comment: Updated, 60 pages ; This is an expanded version of an article commissioned for UNESCO's Encyclopedia of Life Support Systems (EOLSS)
Comment: Updated, 60 pages ; This is an expanded version of an article commissioned for UNESCO's Encyclopedia of Life Support Systems (EOLSS)
Externí odkaz:
http://arxiv.org/abs/1203.3991
Publikováno v:
Commun.Math.Phys.304:95-123,2011
Warped convolutions of operators were recently introduced in the algebraic framework of quantum physics as a new constructive tool. It is shown here that these convolutions provide isometric representations of Rieffel's strict deformations of C*-dyna
Externí odkaz:
http://arxiv.org/abs/1005.2656
Autor:
Summers, Stephen J.
The analyzability of the universe into subsystems requires a concept of the "independence" of the subsystems, of which the relativistic quantum world supports many distinct notions which either coincide or are trivial in the classical setting. The mu
Externí odkaz:
http://arxiv.org/abs/0812.1517
Autor:
Redei, Miklos, Summers, Stephen J.
Publikováno v:
Int.J.Theor.Phys.49:3250-3261,2010
We propose some formulations of the notion of "operational independence" of two subsystems of a larger quantum system and clarify their relation to other independence concepts in the literature. In addition, we indicate why the operational independen
Externí odkaz:
http://arxiv.org/abs/0810.5294
Autor:
Buchholz, Detlev, Summers, Stephen J.
Recently, Grosse and Lechner introduced a novel deformation procedure for non-interacting quantum field theories, giving rise to interesting examples of wedge-localized quantum fields with a non-trivial scattering matrix. In the present article we ou
Externí odkaz:
http://arxiv.org/abs/0806.0349
Autor:
Summers, Stephen J.
Assertions made in a document recently deposited in the arXiv are refuted.
Comment: Some comments with associated references have been added
Comment: Some comments with associated references have been added
Externí odkaz:
http://arxiv.org/abs/0802.2935
Autor:
Summers, Stephen J.
An overview is given of what mathematical physics can currently say about the vacuum state for relativistic quantum field theories on Minkowski space. Along with a review of classical results such as the Reeh--Schlieder Theorem and its immediate and
Externí odkaz:
http://arxiv.org/abs/0802.1854
Autor:
Redei, Miklos, Summers, Stephen J.
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings of noncommutative measure theory by von Neumann i
Externí odkaz:
http://arxiv.org/abs/quant-ph/0601158
Autor:
Buchholz, Detlev, Summers, Stephen J.
Publikováno v:
J.Phys.A40:2147-2163,2007
We study a weakly local, but nonlocal model in spacetime dimension $d \geq 2$ and prove that it is maximally nonlocal in a certain specific quantitative sense. Nevertheless, depending on the number of dimensions $d$, it has string--localized or brane
Externí odkaz:
http://arxiv.org/abs/math-ph/0512060
Autor:
Summers, Stephen J.
We provide an brief overview of Tomita-Takesaki modular theory and some of its applications to mathematical physics. This is an article commissioned by the Encyclopedia of Mathematical Physics, edited by J.-P. Francoise, G. Naber and T.S. Tsun, to be
Externí odkaz:
http://arxiv.org/abs/math-ph/0511034