Schr\'odinger wave functional in quantum Yang-Mills theory from precanonical quantization

Autor:	Kanatchikov, Igor V.
Rok vydání:	2018
Předmět:	High Energy Physics - Theory Mathematical Physics
Zdroj:	Rep. Math. Phys. 82 (2018) 373
Druh dokumentu:	Working Paper
DOI:	10.1016/S0034-4877(19)30008-4
Popis:	A relation between the precanonical quantization of pure Yang-Mills fields and the functional Schr\"odinger representation in the temporal gauge is discussed. It is shown that the latter can be obtained from the former when the ultraviolet parameter $\varkappa$ introduced in precanonical quantization goes to infinity. In this limiting case, the Schr\"odinger wave functional can be expressed as the trace of the Volterra product integral of Clifford-algebra-valued precanonical wave functions restricted to a certain field configuration, and the canonical functional derivative Schr\"odinger equation together with the quantum Gau\ss\ constraint are derived from the Dirac-like precanonical Schr\"odinger equation. Comment: 15 pages. V2: tiny changes in the text, 4 refs added, to appear in Rep. Math. Phys
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.05279 Zobrazit plný text záznamu View this record from Arxiv