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Ruiz Ruiz, Fernando
(2016)
*Perturbative quantization of Yang-Mills theory with classical double as gauge algebra.*
European physical journal C, 76
(2).
ISSN 1434-6044

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Official URL: http://dx.doi.org/10.1140/epjc/s10052-016-3940-0

## Abstract

Perturbative quantization of Yang-Mills theory with a gauge algebra given by the classical double of a semisimple Lie algebra is considered. The classical double of a real Lie algebra is a nonsemisimple real Lie algebra that admits a nonpositive definite invariant metric, the indefiniteness of the metric suggesting an apparent lack of unitarity. It is shown that the theory is UV divergent at one loop and that there are no radiative corrections at higher loops. One-loop UV divergences are removed through renormalization of the coupling constant, thus introducing a renormalization scale. The terms in the classical action that would spoil unitarity are proved to be cohomologically trivial with respect to the Slavnov-Taylor operator that controls gauge invariance for the quantum theory. Hence they do not contribute gauge invariant radiative corrections to the quantum effective action and the theory is unitary.

Item Type: | Article |
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Additional Information: | © The Author(s) 2016. |

Uncontrolled Keywords: | Physics: particles and fields. |

Subjects: | Sciences > Physics |

ID Code: | 37187 |

Deposited On: | 18 Apr 2016 14:50 |

Last Modified: | 19 Apr 2016 15:21 |

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