Pith. sign in

Precanonical structure of the Schr\"odinger wave functional in curved space-time

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
abstract

A relationship between the functional Schr\"odinger representation and the precanonical quantization of a scalar field theory is extended to an arbitrary curved space-time. The canonical functional derivative Schr\"odinger equation is derived from the manifestly covariant precanonical Schr\"odinger equation and the Schr\"odinger wave functional is expressed as the trace of the product integral of Clifford-algebra-valued precanonical wave functions restricted to a certain field configuration when the ultraviolet parameter $\varkappa$ introduced in precanonical quantization is infinite. Thus the standard QFT in functional Schr\"odinger representation emerges from the precanonical formulation of quantum fields as a singular limiting case.

fields

gr-qc 1

years

2026 1

verdicts

REJECT 1

representative citing papers

citing papers explorer

Showing 1 of 1 citing paper.