论文标题
围绕天体物理质量schwarschild和Reissner-Nordström黑洞的手性冷凝物的行为
Behavior of a Chiral Condensate Around Astrophysical-Mass Schwarschild and Reissner-Nordström Black Holes
论文作者
论文摘要
在这项工作中，我们开发了一种扰动方法来描述围绕球形黑洞的手性冷凝物的行为，该黑洞的质量在天体物理上是现实的。我们将逆质量用作扰动系列的扩展参数。在Schwarzschild黑洞的情况下，我们测试了这种扰动方法，我们发现它与以前的数值结果非常吻合。对于天体物理质量的施瓦茨柴尔兹黑洞，对冷凝水的主要贡献（在大多数空间中）要比近代领先的顺序贡献要大得多，从而为扰动方法的有效性提供了进一步的证据。恢复的手性对称性气泡的大小与黑洞的大小成正比。接下来，我们将这种扰动方法应用于Reissner-Nordström（RN）黑洞。我们发现，随着电荷与质量比的增加，相对于黑洞，恢复的手性对称性的气泡变得更大。对于近超级RN黑洞，这种效果特别明显。极端RN黑洞的情况为标准热解释提供了一个有趣的反例，用于形成黑洞周围恢复的手性对称性气泡。
In this work, we develop a perturbative method to describe the behavior of a chiral condensate around a spherical black hole whose mass is astrophysically realistic. We use the inverse mass as the expansion parameter for our perturbative series. We test this perturbative method in the case of a Schwarzschild black hole, and we find that it agrees well with previous numerical results. For an astrophysical-mass Schwarzschild black hole, the leading order contribution to the condensate is much larger (in most of space) than the next-to-leading order contribution, providing further evidence for the validity of the perturbative approach. The size of the bubble of restored chiral symmetry is directly proportional to the size of the black hole. Next, we apply this perturbative method to a Reissner-Nordström (RN) black hole. We find that, as the charge-to-mass ratio increases, the bubble of restored chiral symmetry becomes larger relative to the black hole. This effect is particularly pronounced for near-extremal RN black holes. The case of an extremal RN black hole provides an interesting counterexample to the standard thermal explanation for the formation of a bubble of restored chiral symmetry around a black hole.
