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Ruiz Ruiz, Fernando (2016) Perturbative quantization of YangMills theory with classical double as gauge algebra. European physical journal C, 76 (2). ISSN 14346044

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Official URL: http://dx.doi.org/10.1140/epjc/s1005201639400
URL  URL Type 

http://link.springer.com  Publisher 
Abstract
Perturbative quantization of YangMills 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. Oneloop 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 SlavnovTaylor 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 

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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