牛顿常数、接触项和熵
Newton constant, contact terms and entropy
摘要：
本文讨论了不同自旋$s$场的牛顿常数的重整化。我们首先简要回顾了文献中已经讨论过的$s=0, \, 1/2, \, 1,\, 3/2$的情况，并注意到出现了著名的矢量玻色子接触项。然后，我们将接触项的讨论扩展到大质量矢量场、$p$形式和自旋$s=2$粒子（引力子）的情况。我们观察到，在一般情况下，接触项起源于介导相互作用的场（如矢量规范玻色子和引力子）。然后我们讨论了纠缠熵和圆锥熵以及它们与重整化牛顿常数的关系。我们解决的难题的非解析条款，由于领域的自旋$s=2$，并建议解决这个难题来自非等价的orbifold和$n$折叠覆盖结构中使用的熵计算。最后，我们提出了一种机制，通过这种机制，在任何既包括物质场又包括相互作用介质（矢量规范玻色子和引力子）的理论中，贝肯斯坦-霍金熵都与纠缠熵等同。
英文摘要：
We discuss the renormalization of the Newton constant due to fields of various spin $s$. We first briefly review the cases of $s=0, \, 1/2, \, 1,\, 3/2$ already discussed in the literature and notice the appearance of the well-known contact terms for the vector bosons. We then extend this discussion of the contact terms to massive vector fields, $p$-forms and to the case of spin $s=2$ particles (gravitons). We observe that, in general, the contact terms originate from the fields which mediate the interactions (such as vector gauge bosons and gravitons). We then discuss entanglement entropy and the conical entropy and their relation to the renormalized Newton constant. We address the puzzle of the non-analytic terms due to fields of spin $s=2$ and suggest that the resolution of this puzzle comes from the non-equivalence of the orbifold and $n$-fold cover constructions which are used in the entropy calculations. Finally, we propose a mechanism by which the Bekenstein-Hawking entropy is identified with entanglement entropy in any theory which includes both matter fields and the mediators of interactions (vector gauge bosons and gravitons).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
