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GR: Fachverband Gravitation und Relativitätstheorie
GR 8: Quantum Gravity and Quantum Cosmology
GR 8.1: Vortrag
Dienstag, 12. März 2024, 16:30–16:50, HBR 14: HS 2
Propagation of spinors on the angular deformed noncommutative black hole background — •Nikola Konjik1, Marija Dinitrijević Ćirić1, and Andjelo Samsarov2 — 1University of Belgrade-Faculty of Physics, Belgrade, Serbia — 2Rudjer Boskovic Institute, Zagreb, Croatia
Some noncommutative (NC) theories possess a certain type of dualities that are implicitly built within their structure. In this paper we establish still another example of this kind. More precisely, we show that the noncommutative U(1) gauge theory coupled to a NC scalar/spinor field and to a classical geometry of the Reissner Nordstrom (RN) type is completely equivalent at the level of equations of motion to the commutative U(1) gauge theory coupled to a commutative scalar field and to a classical geometry background, different from the starting RN background. The new (effective) metric is obtained from the RN metric by switching on an additional nonvanishing r-phi component. Using this duality between two theories and physical systems they describe, we formulate an effective approach to studying a dynamics of spin 1/2 fields on the curved background of RN type with an abiding noncommutative structure. We calculate QNM spectrum of fermions in this type of space.
Keywords: noncommutative space; Reissner-Nordstrom background; effective metric; quasinormal modes; spinor fields