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arXiv 1105.0418hep-thastro-ph.COgr-qchep-ph
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暴胀过程中无质量标量场红外关联的自调节

Self Regulation of Infrared Correlations for Massless Scalar Fields during Inflation

Bjorn Garbrecht, Gerasimos Rigopoulos

摘要:

利用位置空间传播算子计算了de Sitter背景下具有四次和三线性相互作用的最小耦合标量场的自能。对于四次相互作用,我们恢复早期的海鸥图的结果,即它有助于有效质量的标量场在领先的顺序在红外增强中的稳态德西特背景。我们进一步表明,日落图也有助于这一有效质量,并认为这两个贡献是足够的,以确定一个自洽的动力学质量。另外,三线性相互作用也会导致我们计算的标量场的动力学质量。由于德西特中的相互作用标量场通过这些环路修正获得了动力学质量,因此两点相关器的红外发散是自然自调节的。

英文摘要:

Self-energies of a minimally coupled scalar field with quartic and trilinear interactions are calculated in a de Sitter background, using a position space propagator. For quartic interactions, we recover earlier results for the seagull diagram, namely that it contributes an effective mass for the scalar field at leading order in the infrared enhancement in a steady-state de Sitter background. We further show that the sunset diagram also contributes to this effective mass and argue that these two contributions are sufficient in order to determine a self-consistent dynamical mass. In addition, trilinear interactions also induce a dynamical mass for the scalar field which we calculate. Since an interacting scalar field in de Sitter acquires a dynamical mass through these loop corrections, the infrared divergences of the two-point correlator are naturally self-regulated.

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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