Seminar on Quantum Field Theory, Gravitation, and Elementary Particles


Dr. D. Cadamuro
Prof. S. Hollands
Prof. R. Verch

Organization:
Dr. J. Zahn

Monday, 15:15 – 16:45 (1 hour talk, followed by questions), seminar room 114 ITP
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Schedule for the summer term 2019:

Date Speaker Title (hover/click for abstract)
01.04. Henning Bostelmann (York)
08.04. Moritz Thurmair (ITP)
15.04. Reinhard Meinel (Jena)
22.04. public holiday
29.04. Alexander Stottmeister (Münster)
06.05. Vincenzo Morinelli (Roma Tor Vergata)
13.05. Alessandro Giuliani (Roma Tre)
20.05.
27.05.
03.06. Christian Jäkel (Sao Paolo)
10.06. public holiday
17.06.
24.06. Valter Moretti (Trento)
01.07.
08.07.


Schedules of past terms:


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Abstract: Integrable models provide simplified examples of quantum field theories with self-interaction. As often in relativistic quantum theory, their local observables are difficult to control mathematically. One either tries to construct pointlike local quantum fields, leading to possibly divergent series expansions, or one defines the local observables indirectly via wedge-local quantities, losing control over their explicit form. We propose a new, hybrid approach: We aim to describe local quantum fields; but rather than exhibiting their n-point functions and verifying the Wightman axioms, we establish them as closed operators affiliated with the net of local von Neumann algebras known from the wedge-local approach. This is shown to work at least in the Ising model.
Abstract: Since Dirac's theory of the positron, physicists have been interested in the effects of vacuum polarization on e.g. the binding energies of electrons in atoms. In this talk, we will present early approaches to vacuum polarization and illustrate why a numerical approach with modern techniques from QFT is desirable.
Abstract: The "inverse spectral transformation", a method developed in the context of soliton theory, can be used to solve boundary value problems of the stationary and axially symmetric Einstein and Einstein-Maxwell equations. Applying this technique, the talk shows in detail how the Kerr-Newman solution can be constructed as the unique asymptotically flat solution to the black hole boundary value problem (for a single connected horizon) in a straightforward manner. In this way, a proof of the "no-hair theorem" including the case of a degenerate horizon is given.
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