arXiv 1301.75482013-01-31hep-phhep-th

D项触发的动力学超对称破缺

D-term Triggered Dynamical Supersymmetry Breaking

H. Itoyama, Nobuhito Maru

备注：: 33 pages, 2 figures
DOI：: 10.1103/PhysRevD.88.025012

摘要：

我们提出了最近在N=1 U（N）超对称规范理论中发现的亚稳真空处动力学超对称破缺的机制，该理论包含伴随超场，并由卡勒和非正则规范动力学函数以及树真空保持N=1超对称性的超势指定。整个U（1）作为隐藏扇区，不需要信使超场。动力学超对称破缺是由耦合到可观测扇区的非零D项触发的，并通过NJL型自洽Hartree-Fock近似实现，同时它最终也带来了非零F项。结果表明，对于复标量场、超对称性的两个序参量D和F这三种背景场，理论分析可归结为有效势的变分问题，其中超对称性的序参量D和F作微扰处理。我们确定的驻点和数值检查的一致性，这样的治疗以及局部稳定性的标量势。给出了与N = 1超引力的耦合，并导出了引力子质量公式。

英文摘要：

We present the mechanism of the dynamical supersymmetry breaking at the metastable vacuum recently uncovered in the N=1 U(N) supersymmetric gauge theory that contains adjoint superfields and that is specified by Kahler and non-canonical gauge kinetic functions and a superpotential whose tree vacua preserve N=1 supersymmetry. The overall U(1) serves as the hidden sector and no messenger superfield is required. The dynamical supersymmetry breaking is triggered by the non-vanishing D term coupled to the observable sector, and is realized by the self-consistent Hartree-Fock approximation of the NJL type while it eventually brings us the non-vanishing F term as well. It is shown that theoretical analysis is resolved as a variational problem of the effective potential for three kinds of background fields, namely, the complex scalar, and the two order parameters D and F of supersymmetry, the last one being treated perturbatively. We determine the stationary point and numerically check the consistency of such treatment as well as the local stability of the scalar potential. The coupling to the N = 1 supergravity is given and the gravitino mass formula is derived.

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