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arXiv 0909.1070hep-ph
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标度不变性对宇宙学常数的限制

Constraints on the Cosmological Constant due to Scale Invariance

Pavan K. Aluri, Pankaj Jain, Subhadip Mitra, Sukanta Panda, Naveen K. Singh

摘要:

考虑具有局部尺度不变性的标准模型。该理论显示了尺寸调节作用的精确尺度不变性。我们发现,无质量规范场,这可能是阿贝尔或非阿贝尔,导致在这个理论中的宇宙学常数的贡献消失。这个结果在量子理论中是成立的,在规范耦合中也是如此。然而,我们没有考虑在引力耦合中更高阶的贡献。同样,我们也发现无质量费米子场对宇宙学常数的贡献为零。由于宇宙对称性破缺的现象,这个理论中的有效宇宙学常数是非零的,除了产生普朗克质量外,它还给所有的大质量场带来质量。在忽略真空能量以外的所有其他因素对能量密度的贡献的情况下,我们发现了曲率标量与Higgs场的真空值之间的一个简单关系.

英文摘要:

We consider the standard model with local scale invariance. The theory shows exact scale invariance of dimensionally regulated action. We show that massless gauge fields, which may be abelian or non-abelian, lead to vanishing contribution to the cosmological constant in this theory. This result follows in the quantum theory, to all orders in the gauge couplings. However we have not considered contributions higher orders in the gravitational coupling. Similarly we also find that massless fermion fields yield null contribution to the cosmological constant. The effective cosmological constant in this theory is non-zero due to the phenomenon of cosmological symmetry breaking, which also gives masses to all the massive fields, besides generating the Planck mass. We find a simple relationship between the curvature scalar and the vacuum value of the Higgs field in the limit when we ignore all other contributions to the energy density besides the vacuum energy.

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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