Towards non-perturbative quantization and the mass gap problem for the Yang–Mills field

DOI10.1142/S0129055X21500367zbMath1492.81073arXiv2102.03224OpenAlexW3191770167MaRDI QIDQ5069291

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Publication date: 8 April 2022

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03224

zbMATH Keywords

Yang-Mills fieldGaussian measure

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Finite abelian groups (20K01) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Electromagnetic theory (general) (78A25) 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) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Bergman spaces and Fock spaces (30H20)

Uses Software

• DLMF

Cites Work

• Quantum field theory techniques in graphical enumeration
• Some remarks on the Gribov ambiguity
• White noise calculus and Fock space
• Classical Chern-Simons theory. I
• The Geometry of the Orbit Space for Non-Abelian Gauge Theories
• An analogue of the operator curl for nonabelian gauge groups and scattering theory
• Generalized Hamiltonian Dynamics
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