Mathematical quantum Yang-Mills theory revisited

DOI10.1134/S1061920817010022zbMath1371.81216arXiv1308.6571OpenAlexW3102955953MaRDI QIDQ2401524

Alexander Dynin

Publication date: 4 September 2017

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6571

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (2)

Confinement in QCD and generic Yang-Mills theories with matter representations ⋮ Mathematical quantum Yang-Mills theory revisited. II: Mass without mass

Cites Work

• Some quantum operators with discrete spectrum but classically continuous spectrum
• Every gauge orbit passes inside the Gribov horizon
• A simple Nash-Moser implicit function theorem
• Quantum field theory techniques in graphical enumeration
• Gaussian measures in Banach spaces
• Decay of classical Yang-Mills fields
• Quantum Yang-Mills-Weyl dynamics in the Schrödinger paradigm
• On the Yang-Mills mass gap problem
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• Harmonic Analysis in Phase Space. (AM-122)
• Holomorphic Functions on Nuclear Spaces
• Infinite Renormalization of the Hamiltonian Is Necessary
• WICK AND ANTI-WICK OPERATOR SYMBOLS
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mathematical quantum Yang-Mills theory revisited