arXiv 1306.54912013-06-25hep-thmath-phmath.MP

Elko场和有质量向量场的对称性

Symmetries of Elko and massive vector fields

Cheng-Yang Lee

备注：: Ph.D. thesis. Some results on Elko have been superseded by the more recent work of Dharam Vir Ahluwalia (arXiv:1305.7509). See appendix E for details. Typos corrected

摘要：

本文研究了具有标量自由度和自旋1自由度的无限自旋质量矢量场的对称性和唯象性。调查是通过使用和扩展的量子场论形式主义发展的Wigner和Weinberg。特别是，我们探讨的可能性，W^{ \pm }和Z玻色子有一个额外的标量自由度，并表明，埃尔克是一个费米子暗物质的候选人。我们证明了无限自旋的大质量矢量场与庞加莱对称性是一致的，并且具有物理上理想的性质，而它们的纯自旋对应物是不存在的。利用新的矢量场，在树能级上，W^{ \pm }和Z玻色子衰变为轻子的结果与标准模型（SM）的预言一致.对于高阶散射振幅，该理论比中间矢量玻色子模型和费米理论具有更好的收敛性。埃尔克有一个不寻常的性质，它满足克莱因-戈登方程，但不满足狄拉克方程，质量维数为1，而不是3.5。我们表明，埃尔克字段是本地仅沿一个首选的轴，他们违反洛伦兹对称性。受Ahluwalia和Horvath关于Elko自旋和在非常狭义相对论（VSR）变换下协变的结果的启发，我们导出了VSR粒子态和量子场.我们表明，VSR粒子只能通过重力和大量的标量粒子与SM粒子相互作用，从而使它们成为Elko暗物质的候选者。

英文摘要：

This thesis studies the symmetries and phenomenologies of the massive vector fields of indefinite spin with both scalar and spin-one degrees of freedom and Elko. The investigation is conducted by using and extending the quantum field theory formalism developed by Wigner and Weinberg. In particular, we explore the possibility that the W^{\pm} and Z bosons have an additional scalar degree of freedom and show that Elko is a fermionic dark matter candidate. We show that the massive vector fields of indefinite spin are consistent with Poincare symmetry and have physically desirable properties that are absent for their pure spin-one counterpart. Using the new vector fields, the decay of the W^{\pm} and Z bosons to leptons at tree-level are in agreement with the Standard Model (SM) predictions. For higher order scattering amplitudes, the theory has better convergent behaviour than the intermediate vector boson model and the Fermi theory. Elko has the unusual property that it satisfies the Klein-Gordon but not the Dirac equation and has mass dimension one instead of three-half. We show that the Elko fields are local only along a preferred axis and that they violate Lorentz symmetry. Motivated by the results obtained by Ahluwalia and Horvath that the Elko spin-sums are covariant under very special relativity (VSR) transformations, we derive the VSR particle states and quantum fields. We show that the VSR particles can only interact with the SM particles through gravity and massive scalar particles thus making them and hence Elko dark matter candidates.

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。

摘要：

英文摘要：

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