Ehrenfest Theorem in Precanonical Quantization of Fields and Gravity

Autor:	Kanatchikov, Igor V.
Rok vydání:	2016
Předmět:	General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	We discuss a generalization of the Ehrenfest theorem to the recently proposed precanonical quantization of vielbein gravity which proceeds from a space-time symmetric generalization of the Hamiltonian formalism to field theory. Classical Einstein-Palatini equations are derived as equations of expectation values of precanonical quantum operators. The preceding consideration of an interacting scalar field theory on curved space-time shows how the classical field equations emerge from the results of precanonical quantization as the equations of expectation values of the corresponding quantum operators. It also allows us to identify the connection term in the covariant generalization of the precanonical Schr\"odinger equation with the spin connection. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.01083 Zobrazit plný text záznamu View this record from Arxiv