In this paper, we study a new functional, i.e., the exponential Yang-Mills functional ~'~t" e on the space of all smooth connections Vof a vector bundle E over a compact Riemannian manifold (M, g) which is defined by where II R v 11 is the curvature tensor of a connection V. A critical point of Y/e
Berry connections as Yang-Mills connections on CP2
β Scribed by Toshihiro Iwai
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 377 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
We develop a new Yang-Mills theory for connections D in a vector bundle E with bundle metric h, over a Riemannian manifold by dropping the customary assumption Dh = 0. We apply this theory to Einstein-Weyl geometry (cf. M.F. Atiyah, et al., Self-duality in four-dimensional Riemannian geometry, Proc.
We prove that integration over the moduli space of flat connections can be obtained as a limit of integration with respect to the Yang-Mills measure defined in terms of the heat-kernel for the gauge group. In doing this we also give a rigorous proof of Witten's formula for the symplectic volume of t