The Yang-Mills measure for \(S^ 2\)

DOI10.1016/0022-1236(92)90025-EzbMath0769.60009MaRDI QIDQ1803314

Ambar N. Sengupta

Publication date: 29 June 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

stochastic differential equationsarea-preserving diffeomorphismsWilson loop configurationsconditioned white-noise process

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Combinatorial probability (60C05) Ordinary differential equations and systems with randomness (34F05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (15)

Large N behaviour of the two-dimensional Yang–Mills partition function ⋮ The leading term of the Yang-Mills free energy ⋮ On \(Y M_ 2\) measures and area-preserving diffeomorphisms ⋮ Large \(N\) limit of Yang-Mills partition function and Wilson loops on compact surfaces ⋮ Symplectic geometry of character varieties and \(SU(2)\) lattice gauge theory I ⋮ A state space for 3D Euclidean Yang-Mills theories ⋮ The semiclassical limit of the two-dimensional quantum Yang–Mills model ⋮ Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio ⋮ Euclidean random fields obtained by convolution from generalized white noise ⋮ Some rigorous results for Yang–Mills theories on a cylinder ⋮ Two dimensional gauge theories revisited ⋮ Lectures on \(2\)D Yang-Mills theory, equivariant cohomology and topological field theories ⋮ Yang-Mills measure on the two-dimensional torus as a random distribution ⋮ Wilson loops in the light of spin networks ⋮ Langevin dynamic for the 2D Yang-Mills measure

Cites Work

• Quantum Yang-Mills on the two-sphere
• Quantum Yang-Mills on a Riemann surface
• Two dimensional Yang-Mills theory via stochastic differential equations
• Loop groups and Yang-Mills theory in dimension two
• Yang-Mills equations on the two-dimensional sphere
• Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields
• Classifications of bundle connection pairs by parallel translation and lassos
• Yang-Mills and bundles over algebraic curves
• On quantum gauge theories in two dimensions
• YM\(_ 2\): Continuum expectations, lattice convergence, and lassos
• The Yang-Mills equations over Riemann surfaces
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