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arXiv 1310.2157hep-thastro-ph.COgr-qchep-ph
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希格斯暴胀中的量子修正:真实标量情形

Quantum corrections in Higgs inflation: the real scalar case

Damien P. George, Sander Mooij, Marieke Postma

摘要:

我们提出了一个关键的讨论量子校正,重整化,和计算的β函数和希格斯膨胀的有效潜力。与文献中的说法相反,我们没有发现任何证据表明约旦和爱因斯坦框架之间的分歧,即使在量子水平上。为了讨论清楚,我们集中讨论实标量希格斯粒子的情况。我们首先回顾了经典计算,然后讨论了重力的反作用。我们计算了希格斯四次耦合和非最小耦合常数的β函数。在这里,中场区是不可重整化的,但我们能够给出有效势的单圈修正的上限。我们表明,在计算有效势,约旦和爱因斯坦框架是兼容的,如果所有的质量尺度之间的两个框架转换。因此,在约旦或爱因斯坦框架中取常数截止是一致的,并且两种处方对有效势产生相同的结果。我们的结果被推广到一个复杂的标量希格斯粒子的情况。

英文摘要:

We present a critical discussion of quantum corrections, renormalisation, and the computation of the beta functions and the effective potential in Higgs inflation. In contrast with claims in the literature, we find no evidence for a disagreement between the Jordan and Einstein frames, even at the quantum level. For clarity of discussion we concentrate on the case of a real scalar Higgs. We first review the classical calculation and then discuss the back reaction of gravity. We compute the beta functions for the Higgs quartic coupling and non-minimal coupling constant. Here, the mid-field regime is non-renormalisable, but we are able to give an upper bound on the 1-loop corrections to the effective potential. We show that, in computing the effective potential, the Jordan and Einstein frames are compatible if all mass scales are transformed between the two frames. As such, it is consistent to take a constant cutoff in either the Jordan or Einstein frame, and both prescriptions yield the same result for the effective potential. Our results are extended to the case of a complex scalar Higgs.

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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