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 |
|---|---|
| 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 |
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Keywords
- Born-Infeld action
- Chern-character
- Self-dual
- Yang-Mills action
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Universal Yang-Mills action on four-dimensional manifolds. / Fujii, Kazuyuki; Oike, Hiroshi; Suzuki, Tatsuo.
In: International Journal of Geometric Methods in Modern Physics, Vol. 3, No. 7, 11.2006, p. 1331-1340.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Universal Yang-Mills action on four-dimensional manifolds
AU - Fujii, Kazuyuki
AU - Oike, Hiroshi
AU - Suzuki, Tatsuo
PY - 2006/11
Y1 - 2006/11
N2 - 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.
AB - 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.
KW - Born-Infeld action
KW - Chern-character
KW - Self-dual
KW - Yang-Mills action
UR - http://www.scopus.com/inward/record.url?scp=33750290449&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33750290449&partnerID=8YFLogxK
U2 - 10.1142/S0219887806001740
DO - 10.1142/S0219887806001740
M3 - Article
VL - 3
SP - 1331
EP - 1340
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
SN - 0219-8878
IS - 7
ER -