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arXiv 0706.2209hep-th
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SU(3)Ghosts with Spin

SU(3) Ghosts with Spin

Scott Chapman

摘要:

提出了SU(3)的一种新的洛伦兹协变规范。在该规范中,鬼场和(4,5,6,7)规范方向上的规范场都具有半整数自旋。结果,这些方向上的鬼场在自旋和统计之间有正确的关系,而规范场有不正确的关系。因此,渐近鬼态在这个规范中并不被禁止,并且有可能形成新的物质态。相反,在这个规范中,(4,5,6,7)方向上的渐近规范场是不允许的,因此SU(3)对称性被渐近破缺为SU(2)xU(1)对称性。

英文摘要:

A new Lorentz-covariant gauge is presented for SU(3). In this gauge, both the ghosts and the gauge fields in the (4, 5, 6, 7) gauge directions acquire half-integral spin. As a result, the ghosts in these directions have the correct relationship between spin and statistics, while the gauge fields have the incorrect relationship. Consequently, asymptotic ghost states are not forbidden in this gauge and can possibly form new matter states. Conversely, asymptotic gauge fields in the (4, 5, 6, 7) directions are forbidden in this gauge, so the SU(3) symmetry is broken down to an SU(2)xU(1) symmetry asymptotically.

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