Stochastic evolution of Yang-Mills connections on the noncommutative two- torus

DOI10.1007/BF00402015zbMath0653.60101OpenAlexW2083528737MaRDI QIDQ1107909

David Applebaum

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00402015

zbMATH Keywords

Yang-Mills functionalboson fieldquantized Yang-Mills fieldsquantum Brownian motion in Fock spacequantum stochastic parallel transport processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (4)

Noncommutative geodesics and the KSGNS construction ⋮ On a class of stochastic flows driven by quantum Brownian motion ⋮ Reflection positive stochastic processes indexed by Lie groups ⋮ Unitary evolutions and horizontal lifts in quantum stochastic calculus

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Quantum diffusions and the noncommutative torus
• C*-algebras associated with irrational rotations
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