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arXiv 0905.1989astro-ph.COhep-phhep-th
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共形耦合场宇宙演化的量子修正

Quantum Corrections to the Cosmological Evolution of Conformally Coupled Fields

Jose A. R. Cembranos, Keith A. Olive, Marco Peloso, Jean-Philippe Uzan

摘要:

由于共形耦合的标量场(如介子)的运动方程的源项由物质能量动量张量的迹给出,因此通常假设在早期宇宙的辐射主导时期它为零。因此,这样的场在早期宇宙中通常是冻结的。在这里,我们计算的有限温度辐射修正的源项,并讨论其后果的演化,在早期宇宙中的这些领域。我们讨论特别是,引力的标量张量理论的情况下,有广义相对论作为吸引子解决方案。我们表明,在某些情况下,宇宙可以经历一个早期阶段的收缩,其次是一个非奇异的反弹,和标准的膨胀。这可能会对热遗迹的丰度产生有趣的影响;例如,它可以为引力子问题提供解决方案。最后,我们讨论的量子修正的演化的量子的可能后果。

英文摘要:

Because the source term for the equations of motion of a conformally coupled scalar field, such as the dilaton, is given by the trace of the matter energy momentum tensor, it is commonly assumed to vanish during the radiation dominated epoch in the early universe. As a consequence, such fields are generally frozen in the early universe. Here we compute the finite temperature radiative correction to the source term and discuss its consequences on the evolution of such fields in the early universe. We discuss in particular, the case of scalar tensor theories of gravity which have general relativity as an attractor solution. We show that, in some cases, the universe can experience an early phase of contraction, followed by a non-singular bounce, and standard expansion. This can have interesting consequences for the abundance of thermal relics; for instance, it can provide a solution to the gravitino problem. We conclude by discussing the possible consequences of the quantum corrections to the evolution of the dilaton.

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