Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-08-11
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, Plain TeX, CON-93-2. (missing macro included)
Scientific paper
On an oriented, compact, connected, real four-dimensional manifold, $M$, we introduce a topological Lagrangian gauge field theory with a Bogomol'nyi structure that leads to non-singular, finite-Action, stable solutions to the variational field equations. These soliton-like solutions are analogous to the instanton in Yang-Mills theory. Unlike Yang-Mills instantons, however, `topological' instantons are independent of any underlying metric structure, and, in particular, they are independent of the metric signature. We show that when the topology of the underlying manifold, $M$, is equipped with a complex K\"ahler structure, and $M$ is interpreted as space-time, then the moduli space of topological instantons---the space of motions---is a finite-dimensional, smooth, Hausdorff manifold with a natural symplectic structure. We identify space-time topologies which lead to the physical stability of topological instanton field configurations compatible with the additional geometric structures. The spaces of motion for $U(1)$ topological instantons over either minimal elliptic or algebraic complex space-times with irregularity $q=2$ are examined.
No associations
LandOfFree
Instantons in topological field theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Instantons in topological field theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instantons in topological field theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-496901