Lagrangian of Self-dual Gauge Fields in Various Formulations

Details Lagrangian of Self-dual Gauge Fields in Various Formulations Lagrangian of Self-dual Gauge Fields in Various Formulations

2011-11-22

arxiv.org/abs/1111.5118v4

Nucl. Phys. B861, pp. 403-423 (2012)

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 27 pages,9 tables. V4: Modify Lagrangian (3.1) and prove its self-duality

Scientific paper

The Lagrangian of self-dual gauge theory in various formulations are reviewed. From these results we see a simple rule and use it to present some new non-covariant Lagrangian based on the decomposition of spacetime into $D=D_1+D_2+D_3$. Our prescription could be easily extended to more complex decomposition of spacetime and some more examples are presented therefore. The self-dual property of the new Lagrangian is proved in detail. We also show that the new non-covariant actions give field equations with 6d Lorentz invariance.

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