A symplectic approach to certain functional integrals and partition functions
From MaRDI portal
Publication:5959630
DOI10.1016/S0393-0440(01)00030-4zbMath0994.22012WikidataQ126989295 ScholiaQ126989295MaRDI QIDQ5959630
Publication date: 8 October 2002
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Model quantum field theories (81T10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Infinite-dimensional manifolds (46T05)
Related Items
A Duistermaat-Heckman type formula for the based loop group ⋮ Heat Kernel Measures and Critical Limits ⋮ Characters, coadjoint orbits and Duistermaat-Heckman integrals ⋮ Measures on Banach manifolds and supersymmetric quantum field theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
- Non-Abelian bosonization in two dimensions
- Orbital theory for affine Lie algebras
- Infinite-dimensional Lie algebras, theta functions and modular forms
- On the variation in the cohomology of the symplectic form of the reduced phase space
- Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
- Root systems and elliptic curves
- Basic analysis of regularized series and products
- Central extensions of current groups in two dimensions
- Spherical functions on affine Lie groups
- Four dimensional realization of two dimensional current groups
- Analytic torsion for complex manifolds
- String path integral realization of vertex operator algebras
- Invariant measures for unitary groups associated to Kac-Moody Lie algebras
- Complex Analysis
- Weyl's character formula for non-connected Lie groups and orbital theory for twisted affine Lie algebras