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arXiv 1607.03129hep-thgr-qc
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自旋粒子的量子引力修正

Quantum gravitational corrections for spinning particles

Markus B. Fröb

摘要:

我们计算的量子修正规范不变的引力势的自旋粒子在平坦的空间中,引起的各种类型的有质量和无质量的物质场的环路。虽然无质量共形物质对无自旋粒子的牛顿势的修正是众所周知的,而无质量最小耦合标量的修正也是众所周知的。定量重力27(2010)245008],无质量非共形标量[Phys.Rev.D87(2013)104027]和大质量标量,费米子和矢量玻色子[Phys.Rev.D91(2015)064047]最近已经导出,自旋粒子接受额外的校正,这是本工作的主题。我们给出了完全解析的结果有效的所有距离的粒子,目前的数值结果以及渐近展开。在离粒子很远的地方,与无质量场的修正相比,由有质量场引起的修正被指数抑制,正如人们所期望的那样。然而,我们分析的一个令人惊讶的结果是,在接近粒子本身的地方,在与环中运行的大质量场的康普顿波长相当的距离上,这些校正可以相对于无质量的情况得到增强。

英文摘要:

We calculate the quantum corrections to the gauge-invariant gravitational potentials of spinning particles in flat space, induced by loops of both massive and massless matter fields of various types. While the corrections to the Newtonian potential induced by massless conformal matter for spinless particles are well-known, and the same corrections due to massless minimally coupled scalars [Class. Quant. Grav. 27 (2010) 245008], massless non-conformal scalars [Phys. Rev. D 87 (2013) 104027] and massive scalars, fermions and vector bosons [Phys. Rev. D 91 (2015) 064047] have been recently derived, spinning particles receive additional corrections which are the subject of the present work. We give both fully analytic results valid for all distances from the particle, and present numerical results as well as asymptotic expansions. At large distances from the particle, the corrections due to massive fields are exponentially suppressed in comparison to the corrections from massless fields, as one would expect. However, a surprising result of our analysis is that close to the particle itself, on distances comparable to the Compton wavelength of the massive fields running in the loops, these corrections can be enhanced with respect to the massless case.

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