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arXiv 1602.02776hep-phastro-ph.COgr-qc
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希格斯场的引力微扰

Gravitational perturbations of the Higgs field

Franco D. Albareti, Antonio L. Maroto, Francisco Prada

摘要:

通过对单圈有效势和能量动量张量真空期望值的修正,研究了经典引力背景对Higgs场的可能影响.我们集中我们的研究在扰动FRW度规中的希格斯自相互作用的贡献。对于弱缓变的引力场,在绝热近似下得到了Klein-Gordon方程的一组高阶模解.维正则化已被用于积分评价和详细研究的非理性功能的整合,在这种形式主义。正如预期的那样,正则化的有效势包含与平坦时空中相同的发散,可以在不需要额外的反项的情况下进行重整化。我们发现,与其他正则化方法相比,即使度规扰动影响的模式的解决方案,他们没有贡献的领导绝热秩序的潜力。我们还得到了完整的能量动量张量的一般非最小耦合的微扰模式的明确表达式。相应的领先绝热贡献也得到了。

英文摘要:

We study the possible effects of classical gravitational backgrounds on the Higgs field through the modifications induced in the one-loop effective potential and the vacuum expectation value of the energy-momentum tensor. We concentrate our study on the Higgs self-interaction contribution in a perturbed FRW metric. For weak and slowly varying gravitational fields, a complete set of mode solutions for the Klein-Gordon equation is obtained to leading order in the adiabatic approximation. Dimensional regularization has been used in the integral evaluation and a detailed study of the integration of nonrational functions in this formalism has been presented. As expected, the regularized effective potential contains the same divergences as in flat spacetime, which can be renormalized without the need of additional counterterms. We find that, in contrast with other regularization methods, even though metric perturbations affect the mode solutions, they do not contribute to the leading adiabatic order of the potential. We also obtain explicit expressions of the complete energy-momentum tensor for general nonminimal coupling in terms of the perturbed modes. The corresponding leading adiabatic contributions are also obtained.

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