On \(Y M_ 2\) measures and area-preserving diffeomorphisms

DOI10.1016/0393-0440(95)00034-8zbMath0866.58017OpenAlexW2006324080MaRDI QIDQ1922661

Doug Pickrell

Publication date: 30 July 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00034-8

zbMATH Keywords

area-preserving diffeomorphismsYang-Mills measuredeterminants of Dirac operators

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Cites Work

• Quantum Yang-Mills on a Riemann surface
• Two dimensional Yang-Mills theory via stochastic differential equations
• Determinants of Cauchy-Riemann operators on a Riemann surface
• A construction of two-dimensional quantum chromodynamics
• Classifications of bundle connection pairs by parallel translation and lassos
• On quantum gauge theories in two dimensions
• Integration on loop groups. III: Asymptotic Peter-Weyl orthogonality
• Two dimensional gauge theories revisited
• Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
• Small volume limits of 2-\(d\) Yang-Mills
• Self-adjoint operators
• Some comments on Chern-Simons gauge theory
• The Yang-Mills measure for \(S^ 2\)
• YM\(_ 2\): Continuum expectations, lattice convergence, and lassos
• Metric entropy of some classes of sets with differentiable boundaries
• Sample functions of the Gaussian process
• Irreducible representations of infinite-dimensional transformation groups and Lie algebras
• REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS
• The Yang-Mills equations over Riemann surfaces
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