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arXiv 1105.4539hep-thastro-ph.COgr-qchep-phnucl-th
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de Sitter几何上量子标量场的有效势

Effective potential for quantum scalar fields on a de Sitter geometry

Julien Serreau

摘要:

研究了首阶de Sitter几何上O(N)标量场的非微扰1/N展开的量子理论。这就是所谓的超级菊花循环图的无穷级数。我们得到相应的,适当重整化,动力场方程的de Sitter对称解,并计算完整的有效势。由于其自相互作用,场获得严格正的平方质量,从而屏蔽了潜在的红外发散。此外,强烈增强的超长波长波动阻止了在任何维度上自发破缺对称态的存在。

英文摘要:

We study the quantum theory of an O(N) scalar field on de Sitter geometry at leading order in a nonperturbative 1/N-expansion. This resums the infinite series of so-called superdaisy loop diagrams. We obtain the de Sitter symmetric solutions of the corresponding, properly renormalized, dynamical field equations and compute the complete effective potential. Because of its self-interactions, the field acquires a strictly positive square mass which screens potential infrared divergences. Moreover, strongly enhanced ultralong-wavelength fluctuations prevent the existence of a spontaneously broken symmetry state in any dimension.

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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