Seminar detail: Exploring quantum canonical tensor model for N = 1 and beyond

Date&Time	Wed Dec 02 2020 (13:30 - 14:30)
Speaker	Naoki Sasakura
Affiliation	YITP, Kyoto U
Title	Exploring quantum canonical tensor model for N = 1 and beyond
Abstract	Classical dynamics of N = 1 canonical tensor model is known to be equivalent to the mini-superspace approximation of general relativity. In this talk, I explore its quantum dynamics by explicitly studying its wave functions, i.e., “wave functions of universe”. The wave functions are expressed in the form of integrals on holomorphic curves to appropriately treat the singularities at their peaks. By introducing a clock system, unitary evolutions are extracted from the wave functions. The singularities above are shown to play essential roles in the asymptotic semi-classical regime, reproducing the classical evolution. For larger N, tensor eigenvector problem and its associated discriminants/resultants determine the singularities of the wave functions. The fact that discriminants/resultants are polynomial functions partially explain the exact solvability of the physical states, which was curiously encountered in previous studies.
Remarks
Slide/Video