Abstract
The usual action of the Yang-Mills theory is given by the quadratic form of curvatures of a principal G bundle defined on four-dimensional manifolds. The nonlinear generalization which is known as the Born-Infeld action has been given. In this paper we give another nonlinear generalization on four-dimensional manifolds and call it a universal Yang-Mills action. The advantage of our model is that the action splits automatically into two parts consisting of self-dual and anti-self-dual directions, that is, we have automatically the self-dual and anti-self-dual equations without solving the equations of motion as in usual case. Our method may be applicable to recent non-commutative Yang-Mills theories studied widely.
Original language | English |
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Pages (from-to) | 1331-1340 |
Number of pages | 10 |
Journal | International Journal of Geometric Methods in Modern Physics |
Volume | 3 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2006 Nov |
Externally published | Yes |
Keywords
- Born-Infeld action
- Chern-character
- Self-dual
- Yang-Mills action
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)