淡江大學機構典藏:Item 987654321/27894
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/27894


    Title: The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories
    Authors: Kao, Hsien-chung;Lee, Kimyeong;Lee, Taejin
    Contributors: 淡江大學物理學系
    Date: 1996-04
    Issue Date: 2013-07-09 15:06:09 (UTC+8)
    Publisher: Amsterdam: Elsevier BV * North-Holland
    Abstract: We study one-loop correction to the Chern-Simons coefficient $\kappa=k/4\pi$ in $N=1,2,3$ supersymmetric Yang-Mills Chern-Simons systems. In the pure bosonic case, the shift of the parameter $k$ is known to be $k\rightarrow k + c_v$, where $c_v$ is the quadratic Casimir of the gauge group. In the $N=1$ case, the fermionic contribution cancels the bosonic contribution by half and the shift is $k \rightarrow k+ c_v/2$, making the theory anomalous if $c_v$ is odd. In the $N=2,3$ cases, the fermionic contribution cancels the bosonic contribution completely and there is no correction. We also calculate the mass corrections, showing the supersymmetry is preserved. As the matter fields decouple from the gauge field in the pure Chern-Simons limit, this work sheds some light on the regularization dependency of the correction in pure Chern-Simons systems. We also discuss the implication to the case when the gauge symmetry is spontaneously broken by the Higgs mechanism.
    Relation: Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics 373(1-3), pp.94-99
    DOI: 10.1016/0370-2693(96)00119-0
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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