Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Bahns, Dorothea"'
In this paper we investigate the massive Sine-Gordon model in the ultraviolet finite regime in thermal states over the two-dimensional Minkowski spacetime. We combine recently developed methods of perturbative algebraic quantum field theory with tech
Externí odkaz:
http://arxiv.org/abs/2103.09328
Trapped bosons, thermodynamic limit and condensation: a study in the framework of resolvent algebras
Autor:
Bahns, Dorothea, Buchholz, Detlev
The virtues of resolvent algebras, compared to other approaches for the treatment of canonical quantum systems, are exemplified by infinite systems of non-relativistic bosons. Within this framework, equilibrium states of trapped and untrapped bosons
Externí odkaz:
http://arxiv.org/abs/2012.08609
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2023 526(2)
Autor:
Bahns, Dorothea, Schulz, René
We give a sufficient criterion for the existence of the twisted convolution product of two tempered distributions as a tempered distribution, and we list examples of algebras with respect to this and related products contained in $\mathscr S^\prime$.
Externí odkaz:
http://arxiv.org/abs/1901.00700
The Haag-Kastler net of local von Neumann algebras is constructed in the ultraviolet finite regime of the sine-Gordon model, and its equivalence with the massive Thirring model is proved. In contrast to other authors, we do not add an auxiliary mass
Externí odkaz:
http://arxiv.org/abs/1712.02844
Autor:
Bahns, Dorothea, Rejzner, Kasia
We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation valu
Externí odkaz:
http://arxiv.org/abs/1609.08530
Publikováno v:
Advances in Algebraic Quantum Field Theory, Springer (2015), pp. 289-330
We review the investigations on the quantum structure of spactime, to be found at the Planck scale if one takes into account the operational limitations to localization of events which result from the concurrence of Quantum Mechanics and General Rela
Externí odkaz:
http://arxiv.org/abs/1501.03298
Autor:
Bahns, Dorothea, Wrochna, Michał
Publikováno v:
Annales Henri Poincar\'e, DOI 10.1007/s00023-013-0288-y, 2013
We consider distributions on $\R^n\setminus{0}$ which satisfy a given set of partial differential equations and provide criteria for the existence of extensions to $\R^n$ that satisfy the same set of equations on $\R^n$. We use the results to constru
Externí odkaz:
http://arxiv.org/abs/1210.5448
Publikováno v:
Comm. Math. Phys. 327 (2014) 779-814
We show that the Nambu-Goto string, and its higher dimensional generalizations, can be quantized, in the sense of an effective theory, in any dimension of the target space. The crucial point is to consider expansions around classical string configura
Externí odkaz:
http://arxiv.org/abs/1204.6263