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没有Higgs的Gedanken世界：QCD诱导的电弱对称破缺

Gedanken Worlds without Higgs: QCD-Induced Electroweak Symmetry Breaking

Chris Quigg, Robert Shrock

备注：
20 pages, no figures, uses RevTeX; typos corrected
发表信息：
Phys.Rev.D79:096002,2009
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摘要：

为了阐明电弱对称性破缺是如何塑造物理世界的，我们研究了没有引入希格斯场或其他结构来诱导自发对称性破缺的玩具模型。这两个模型具有标准SU（3）_c x SU（2）_L x U（1）_Y规范对称性和与标准模型相似的费米子含量。第一类--像标准的电弱理论一样--不包含裸质量项，所以量子色动力学中手征对称性的自发破缺是电弱对称性破缺的唯一来源。第二类增加裸费米子质量足够小，QCD仍然是电弱对称性破缺的主要来源，该模型可以作为一个表现良好的低能有效场论，能量略高于强子尺度。第三类模型是基于左右对称SU（3）_c × SU（2）_L × SU（2）_R × U（1）_{B-L}规范群。在第四类建立在SU（4）_{PS} x SU（2）_L x SU（2）_R规范对称性上的模型中，轻子数被视为第四种颜色。模型的许多有趣特征源于这样一个事实：弱相互作用的有效强度比现实世界中的弱相互作用的有效强度更接近剩余强相互作用的有效强度。无希格斯粒子模型不仅提供了与真实世界的信息对比，而且还引导我们考虑将场论应用于真实世界的有趣问题。

英文摘要：

To illuminate how electroweak symmetry breaking shapes the physical world, we investigate toy models in which no Higgs fields or other constructs are introduced to induce spontaneous symmetry breaking. Two models incorporate the standard SU(3)_c x SU(2)_L x U(1)_Y gauge symmetry and fermion content similar to that of the standard model. The first class--like the standard electroweak theory--contains no bare mass terms, so the spontaneous breaking of chiral symmetry within quantum chromodynamics is the only source of electroweak symmetry breaking. The second class adds bare fermion masses sufficiently small that QCD remains the dominant source of electroweak symmetry breaking and the model can serve as a well-behaved low-energy effective field theory to energies somewhat above the hadronic scale. A third class of models is based on the left-right--symmetric SU(3)_c x SU(2)_L x SU(2)_R x U(1)_{B-L} gauge group. In a fourth class of models, built on SU(4)_{PS} x SU(2)_L x SU(2)_R gauge symmetry, lepton number is treated as a fourth color. Many interesting characteristics of the models stem from the fact that the effective strength of the weak interactions is much closer to that of the residual strong interactions than in the real world. The Higgs-free models not only provide informative contrasts to the real world, but also lead us to consider intriguing issues in the application of field theory to the real world.

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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