Mathematical quantum Yang-Mills theory revisited. II: Mass without mass

DOI10.1134/S1061920820010033zbMath1435.81128arXiv1909.12090MaRDI QIDQ2307868

Alexander Dynin

Publication date: 25 March 2020

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

Full work available at URL: https://arxiv.org/abs/1909.12090

zbMATH Keywords

spectral gap

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) Semisimple Lie groups and their representations (22E46) Compact groups (22C05) 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)

Cites Work

• The Cauchy problem for the Yang-Mills equations
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
• Global solvability of the Cauchy problem for the Yang-Mills-Higgs equations
• Yang-Mills and Dirac fields in a bag, existence and uniqueness theorems
• Mathematical quantum Yang-Mills theory revisited
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions
• The inverse function theorem of Nash and Moser
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