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• W2952809437 abstract "Inspired by F. Wilczek's QCD Lite, quantum Yang-Mills-Weyl Dynamics (YMWD) describes quantum interaction between gauge bosons (associated with a simple compact gauge Lie group $mathbb{G}$) and larks (massless chiral fields colored by an irreducible unitary representation of $mathbb{G}$). Schroedinger representation of this quantum Yang-Mills-Weyl theory is based on a sesqui-holomorphic operator calculus of infinite-dimensional operators with variational derivatives. The spectrum of the quantum YMWD, with initial data in the central euclidean ball of a radius $0<R<+infty$, is self-similar in the inverse proportion to $R$. The spectrum is a sequence of eigenvalues convergent to $+infty$. The eigenvalues have finite multiplicities with respect to a von Neumann algebra with a regular trace. The same holds for the quantum self-interaction of vector Yang-Mills bosons (Theorem 4.1). Furthermore, the fundamental vacuum eigenvalue is a simple zero (Appendix A). Presumably, this is a solution of the existence problem for a quantum Yang-Mills theory that implies a positive spectral mass gap. The rigorous mathematical theory is non-perturbative with a running coupling constant as the only ad hoc parameter. The application of the first mathematical principles depends essentially on the properties of the compact simple Lie group $mathbb{G}$." @default.
• W2952809437 created "2019-06-27" @default.
• W2952809437 creator A5006780185 @default.
• W2952809437 date "2010-05-20" @default.
• W2952809437 modified "2023-09-27" @default.
• W2952809437 title "Quantum Yang-Mills-Weyl Dynamics in Schroedinger paradigm" @default.
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