Emergent conical geometry from the Zubarev statistical operator: duality of statistics and geometry
Seminar “Theory of Fundamental Interactions”
Date and Time: Thursday, 14 May 2020, at 4:00 PM
Venue: Online conference in Zoom, Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Emergent conical geometry from the Zubarev statistical operator: duality of statistics and geometry»
Speaker: G. Prokhorov
The quantum statistical mean values of the energy-momentum tensors of scalar and Dirac fields in an accelerated medium are found. For this, the correlators arising in the fourth order of perturbation theory, following from the expansion of the Zubarev density operator in a series in the boost generator, were calculated. It is shown that the mean values found exactly satisfy the conditions resulting from the Unruh effect. Moreover, it is shown that they correspond to the predictions of field theory in a space with a conical singularity, such as the Euclidean Rindler space or space with a cosmic string. Thus, the duality of statistical and geometrical approaches is shown. This duality can be used to obtain nonperturbative results in statistical theory, and on the other hand, it allows to predict results for field theory in more nontrivial curved spaces based on perturbative calculations in the framework of the statistical Zubarev approach. In addition, statistical quantities get a new interpretation in terms of quantum field theory in a space with a boundary.