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arXiv 0811.0119hep-ph
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类希格斯幽灵的质量产生

Mass Generation from Higgs-like Ghosts

Scott Chapman

摘要:

规范理论的协变量子化通常需要在规范固定的拉格朗日量中包含法捷夫波波夫鬼。通常这些鬼具有费米子统计,但在包含费米子规范场的超对称理论中,也可能存在具有玻色子统计的鬼。由于这些鬼是标量玻色子,它们可以有真空期望值(VEV)而不违反洛伦兹不变性。特别地,对于超对称群SU(2/3),人们可以选择一个具有类希格斯玻色子鬼势的规范,当其中一个鬼产生VEV时,这个鬼势被最小化。这种VEV将SU(2/3)的SU(2)x U(1)子群分解为U(1),并自发地产生矢量玻色子质量,但没有伴随希格斯场的“层次”问题。SU(2/3)也有一个SU(3)子群,而幺正性要求SU(3)规范玻色子必须被限制。由于玻色子幽灵并不作为粒子渐近地存在,如果在大型强子对撞机上没有检测到希格斯玻色子,这种理论可能是一种可能的解释。

英文摘要:

Covariant quantization of gauge theories generally requires the inclusion of Fadeev Popov ghosts in the gauge-fixed Lagrangian. Normally these ghosts have fermionic statistics, but in supersymmetric theories that include fermionic gauge fields, there can also be ghosts with bosonic statistics. Since these ghosts are scalar bosons, they can have vacuum expectation values (VEVs) without violating Lorentz invariance. In particular, for the supersymmetric group SU(2/3), one can choose a gauge with a Higgs-like bosonic ghost potential that is minimized when one of the ghosts develops a VEV. This VEV breaks the SU(2) x U(1) subgroup of SU(2/3) down to U(1) and spontaneously generates vector boson masses, but without the "hierarchy" problems that accompany the Higgs field. SU(2/3) also has an SU(3) subgroup, and unitarity requires that the SU(3) gauge bosons must be confined. Since bosonic ghosts do not exist as particles asymptotically, this kind of theory could be a possible explanation if no Higgs Boson is detected at the LHC.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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