May 7 – 9, 2026
Paderborn
Europe/Berlin timezone

Igor Kanatchikov: Precanonical quantization of Yang-Mills theory and the problem of mass gap

May 9, 2026, 10:10 AM
30m
Paderborn

Paderborn

Description

We discuss precanonical quantization of pure YM field theory, its relation to the canonical quantization in the functional Schr\"odinger representation, the expression of the Schroedinger wave functional as a Volterra product integral of precanonical wave functions, the emergence of a mass gap from the spectrum of the De Donder-Weyl Hamiltonian operator derived from precanonical quantization, and, briefly, relevance of this result in the context of quantum gravity and dark matter/dark energy problems. Based on I. Kanatchikov, Rep. Math. Phys. 82 (2018) 373, IJGMMP 14 (2017) 1750123; Symmetry 11 (2019) 1413; EPL 150 (2025) 59002, and a work in progress.

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