Quaternion structure on the moduli space of Yang-Mills connections
β Scribed by Mitsuhiro Itoh
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 742 KB
- Volume
- 276
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
We study quantum stochastic parallel transport processes where the noise terms arise from quantum Brownian motion in Fock space and the connection is chosen to minimize the Yang-Mills functional on a Heisenberg module over the smooth algebra of the noncommutative two-torus. Each such process yields
The intrinsic structure of Yang-Mills fields associated with an arbitrary finite-dimensional matrix Lie group and an arbitrary Lagrangian function is studied. The results are then specialized to the case of semisimple groups and gauge invariant Lagrangian functions. For the specialization, the Lie g