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arXiv 1909.01047gr-qcastro-ph.HEhep-th
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标量化中子星双星引力势的量子修正

Quantum Corrections to Gravitational Potential of Scalarized Neutron Star Binary

Jing Wang

摘要:

将广义相对论作为有效场论,研究了标量中子星双星系统引力势的长距离、低能、超前量子修正。我们忽略了两个恒星组成部分的扩展标度,并将它们视为重点粒子,由于恒星内部固定的标度配置,它们通过引力子和标度粒子的交换相互作用。因此,引力势既包括牛顿势,也包括标量修正的类牛顿势。在非相对论极限下,我们直接由引力子和标量粒子交换量之和计算修正引力势的非解析修正。从有效拉格朗日量中提取适当的顶点规则。我们的计算表明,无论是引力子交换或标量粒子的交换都有助于经典相对论修正和量子修正的引力势的标量NS双星。

英文摘要:

We investigate the long-distance, low-energy, leading quantum corrections to gravitational potential for scalarized neutron star (NS) binary systems, by treating general relativity as an effective field theory. We neglect the extended scales of two star components and treat them as heavy point particles, which gravitationally interact with each other via the exchanges of both gravitons and scalar particles, because of the settled scalar configurations inside the stars. Accordingly, the gravitational potential includes both Newtonian potential and scalar-modified Newtonian-like part. We, in the non-relativistic limit, calculate the non-analytic corrections to the modified gravitational potential directly from the sum of all exchanges of both gravitons and scalar particles to one-loop order. The appropriate vertex rules are extracted from the effective Lagrangian. Our calculations demonstrate that either the graviton exchanges or the exchanges of scalar particles contribute to both classical relativistic corrections and quantum corrections to the gravitational potential of the scalarized NS binaries.

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