Higher currents for the sine-Gordon model in perturbative Algebraic Quantum Field Theory

24.11.2023, 11 Uhr  –  Campus Golm, Building 9, Room 2.22
Arbeitsgruppenseminar Analysis

Fabrizio Zanello (Univ. Potsdam)

Title:

Higher currents for the sine-Gordon model in perturbative Algebraic Quantum Field Theory


Abstract:

First, we review the 2-dimensional sine-Gordon model in Classical Field Theory and derive recursive formulas for the components of an infinite number of conserved currents. Then, we describe the formulation of the sine-Gordon model in perturbative Algebraic Quantum Field Theory and show, in the framework of Epstein-Glaser renormalization, that the interacting components of the currents are super-renormalizable by power counting. Finally, we describe how, under suitable conditions, the formal power series describing the interacting components of the currents are in fact summable.

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