Properties of discrete black hole hair

Autor: Isabel Garcia Garcia
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 2, Pp 1-22 (2019)
Journal of High Energy Physics
Isabel Garcia Garcia
ISSN: 1029-8479
DOI: 10.1007/JHEP02(2019)117
Popis: We revisit the physical effects of discrete $\mathbb{Z}_p$ gauge charge on black hole thermodynamics, building on the seminal work of Coleman, Preskill, and Wilczek. Realising the discrete theory from the spontaneous breaking of an Abelian gauge theory, we consider the two limiting cases of interest, depending on whether the Compton wavelength of the massive vector is much smaller or much larger than the size of the black hole -- the so-called thin- and thick-string limits respectively. We find that the qualitative effect of discrete hair on the mass-temperature relationship is the same in both regimes, and similar to that of unbroken $U(1)$ charge: namely, a black hole carrying discrete gauge charge is always colder than its uncharged counterpart. In the thick-string limit, our conclusions bring into question some of the results of Coleman et al., as we discuss. Further, by considering the system to be enclosed within a finite cavity, we argue how the unbroken limit may be smoothly defined, and the unscreened electric field of the standard Reissner-Nordstrom solution recovered.
Comment: 19 pages, 5 figures; references added, matches published version
Databáze: OpenAIRE
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