Leading quantum gravitational corrections to scalar QED

Leading quantum gravitational corrections to scalar QED
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领先的标量 QED 量子引力校正

DOI:
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发表时间:
2002
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通讯作者:
N. Bjerrum
N. Bjerrum
中科院分区:
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文献类型:
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作者:
N. Bjerrum

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我们考虑了在广义相对论和标量QED的组合理论中对带电标量的非相对论散射振幅的主要后牛顿和量子修正。该组合理论被视为一种有效的场论。这允许引力场的一致量子化。从作用中提取适当的顶点规则,并在非相对论性极限下计算对1环散射矩阵的非解析贡献。散射振幅的非解析部分,已知给出了长距离,低能量,领先的量子修正,用于构建两个带电标量的两粒子非相对论散射矩阵势的领先后牛顿和量子修正。并结合实验验证对结果进行了讨论。
We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory is treated as an effective field theory. This allows for a consistent quantization of the gravitational field. The appropriate vertex rules are extracted from the action, and the non-analytic contributions to the 1-loop scattering matrix are calculated in the non-relativistic limit. The non-analytical parts of the scattering amplitude, which are known to give the long range, low energy, leading quantum corrections, are used to construct the leading post-Newtonian and quantum corrections to the two-particle non-relativistic scattering matrix potential for two charged scalars. The result is discussed in relation to experimental verifications.