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arXiv 2205.14166hep-phastro-ph.CO
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高温下的标量场阻尼

Scalar field damping at high temperatures

Dietrich Bodeker, Jan Nienaber

摘要:

与热等离子体相互作用的标量场的运动,就像再加热过程中的暴胀子一样,是阻尼的,这是一个耗散过程。在高温下,阻尼可以用有效运动方程中的局部项来描述。阻尼系数对多次散射敏感。在循环展开中,它的计算需要全阶重算。相反,我们解决了一个有效的玻尔兹曼方程,类似于输运系数的计算。对于与另一个标量场的相互作用,我们得到了阻尼系数与体粘滞系数之间的简单关系,这样就可以利用已知的体粘滞系数的结果。阻尼系数的数值前置因子相当大,为$ 10 ^ 4 $阶。

英文摘要:

The motion of a scalar field that interacts with a hot plasma, like the inflaton during reheating, is damped, which is a dissipative process. At high temperatures the damping can be described by a local term in the effective equation of motion. The damping coefficient is sensitive to multiple scattering. In the loop expansion its computation would require an all-order resummation. Instead we solve an effective Boltzmann equation, similarly to the computation of transport coefficients. For an interaction with another scalar field we obtain a simple relation between the damping coefficient and the bulk viscosity, so that one can make use of known results for the latter. The numerical prefactor of the damping coefficient turns out to be rather large, of order $ 10 ^ 4 $.

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