Семинар на Хамед Педжхан

На 03.08.2023 г. (четвъртък), от 13:15 ч. в зала 300 на ИЯИЯЕ, Hamed Pejhan (ИМИ, БАН) ще изнесе доклад на тема:

Covariant Quantization of the Partially Massless Graviton Field in de Sitter Spacetime

Резюме: We present a covariant quantization scheme for the so-called "partially massless‎" ‎graviton field in de Sitter spacetime‎. ‎Our approach is founded on the principles of the de Sitter group representation theory (in the sense given by Wigner)‎, ‎the Wightman-Gårding axioms for gauge-invariant fields (Gupta-Bleuler scheme)‎, ‎and the essential analyticity prerequisites in the complexified pseudo-Riemannian manifold‎. ‎ ‎We adopt coordinate-independent (global) de Sitter plane waves‎to implement the quantization process effectively. ‎These plane waves‎, ‎defined in the appropriate tube domains of complex de Sitter spacetime‎, ‎serve as the de Sitter counterparts to the standard Minkowskian plane waves‎. ‎By employing these analytical plane waves‎, ‎we enable a spectral analysis of the corresponding two-point function that closely resembles the Fourier analysis in the flat Minkowskian case‎. ‎Within this framework‎, ‎we present the Wightman two-point function for the partially massless graviton field‎, ‎which satisfies the essential criteria of locality‎, ‎covariance‎, ‎and normal analyticity‎. ‎Furthermore‎, ‎we provide insights into the underlying Hilbert space structure and the corresponding unsmeared field operator‎. ‎A direct consequence of this quantization construction confirms the widely accepted notion of light-cone propagation for the de Sitter partially massless graviton field‎.