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pro vyhledávání: '"81E05"'
In this article we construct a large class of interacting Euclidean quantum field theories, over a p-adic space time, by using white noise calculus. We introduce p-adic versions of the Kondratiev and Hida spaces in order to use the Wick calculus on t
Externí odkaz:
http://arxiv.org/abs/1810.01408
Autor:
Tillmann, Ulrike
Motivated by ideas from string theory and quantum field theory new invariants of knots and 3-dimensional manifolds have been constructed from complex algebraic structures such as Hopf algebras (Reshetikhin and Turaev), monoidal categories with additi
Externí odkaz:
http://arxiv.org/abs/math/9802089
In this article we construct a large class of interacting Euclidean quantum field theories, over a p-adic space time, by using white noise calculus. We introduce p-adic versions of the Kondratiev and Hida spaces in order to use the Wick calculus on t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a9e4bbe56ee26624330de0945d451dc
http://arxiv.org/abs/1810.01408
http://arxiv.org/abs/1810.01408
Autor:
Ulrike Tillmann
Motivated by ideas from string theory and quantum field theory new invariants of knots and 3-dimensional manifolds have been constructed from complex algebraic structures such as Hopf algebras (Reshetikhin and Turaev), monoidal categories with additi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce90afd2ab951de4741505eebabc8846
https://doi.org/10.1112/s0024610798006383
https://doi.org/10.1112/s0024610798006383
Akademický článek
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Autor:
Stephen J. Summers, Wulf Driessler
Publikováno v:
Comm. Math. Phys. 89, no. 2 (1983), 221-226
It is shown that in a relativistic quantum field theory satisfying Wightman's axioms, there are no nontrivial field-like operators, or even bilinear forms, associated to a two (or less)-dimensional spacelike plane in Minkowski space. This generalizes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a74e84ab7e90fdd0d95c7df88c2144d
https://doi.org/10.1007/bf01211828
https://doi.org/10.1007/bf01211828
Autor:
Detlev Buchholz, Eyvind H. Wichmann
Publikováno v:
Comm. Math. Phys. 106, no. 2 (1986), 321-344
Within the general framework of local quantum field theory a physically motivated condition on the energy-level density of well-localized states is proposed and discussed. It is shown that any model satisfying this condition obeys a strong form of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::385e44a2380bd5b182bd3857f1d84b84
https://doi.org/10.1007/bf01454978
https://doi.org/10.1007/bf01454978
Autor:
Vipul Periwal
Publikováno v:
Comm. Math. Phys. 120, no. 1 (1988), 71-95
We formulate a local renormalization flow using Connes' non-commutative geometry. This formulation allows a geometric description of the renormalization flow, and an intrinsic characterization of the operator product expansion. We define spaces for s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ccf33f34e1bd97ab4570e149a8a1138
https://doi.org/10.1007/bf01223206
https://doi.org/10.1007/bf01223206
Autor:
Klaus Fredenhagen, Rudolf Haag
Publikováno v:
Comm. Math. Phys. 108, no. 1 (1987), 91-115
The formulation of a generally covariant quantum field theory is described. It demands the elimination of global features and a characterization of the theory in terms of the allowed germs of families of states. A simple application is the computatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d10157028a6208ca0f0b24b1749bfe1
https://doi.org/10.1007/bf01210704
https://doi.org/10.1007/bf01210704
Autor:
Detlev Buchholz, Peter Junglas
Publikováno v:
Comm. Math. Phys. 121, no. 2 (1989), 255-270
It is shown that any local quantum field theory admits thermodynamical equilibrium states (KMS-states) for all positive temperatures provided it satisfies a “nuclearity condition,” proposed by Wichmann and one of the authors, which restricts the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6183611927f787632c11205e59e3227
https://doi.org/10.1007/bf01217805
https://doi.org/10.1007/bf01217805