Lagrangian of self-dual gauge fields in various formulations

Wung Hong Huang

doi:10.1016/j.nuclphysb.2012.03.017

Lagrangian of self-dual gauge fields in various formulations

Wung Hong Huang

Department of Physics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

The Lagrangians 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.

Original language	English
Pages (from-to)	403-423
Number of pages	21
Journal	Nuclear Physics B
Volume	861
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2012.03.017
Publication status	Published - 2012 Aug 21

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2012.03.017

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abstract = "The Lagrangians 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.",

author = "Huang, \{Wung Hong\}",

note = "Funding Information: The author thanks Kuo-Wei Huang for interesting discussion in the initial stage of investigation. This work is supported in part by the Taiwan National Science Council . ",

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PY - 2012/8/21

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N2 - The Lagrangians 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.

AB - The Lagrangians 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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SP - 403

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JF - Nuclear Physics B

IS - 3

ER -

Lagrangian of self-dual gauge fields in various formulations

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