Loading...
Behavior of a chiral condensate around astrophysical-mass Schwarzschild and Reissner-Nordström black holes
DeMott, Ross D.
DeMott, Ross D.
Citations
Altmetric:
Advisor
Editor
Date
Date Issued
2023
Date Submitted
Keywords
Collections
Research Projects
Organizational Units
Journal Issue
Embargo Expires
Abstract
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-Nordstrom (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.
Associated Publications
Rights
Copyright of the original work is retained by the author.