Properties of discrete black hole hair

Isabel Garcia Garcia (Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, U.S.A.)

We revisit the physical effects of discrete 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-Nordström solution recovered.

{
  "_oai": {
    "updated": "2019-07-24T16:37:06Z", 
    "id": "oai:repo.scoap3.org:45803", 
    "sets": [
      "JHEP"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, U.S.A.", 
          "organization": "University of California"
        }
      ], 
      "surname": "Garcia Garcia", 
      "email": "isabel@kitp.ucsb.edu", 
      "full_name": "Garcia Garcia, Isabel", 
      "given_names": "Isabel"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Properties of discrete black hole hair"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP02(2019)117"
    }
  ], 
  "publication_info": [
    {
      "page_end": "22", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2019", 
      "artid": "JHEP022019117", 
      "year": 2019, 
      "page_start": "1", 
      "journal_issue": "2"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2019-07-24T17:40:57.361338", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "e65802daae2711e98f2d02163e01809a"
  }, 
  "page_nr": [
    22
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses/by/3.0", 
      "license": "CC-BY-3.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2019"
    }
  ], 
  "control_number": "45803", 
  "record_creation_date": "2019-02-23T10:30:35.405008", 
  "_files": [
    {
      "checksum": "md5:f419bb426aa6d82bcacb172e04bf0316", 
      "filetype": "xml", 
      "bucket": "e9e1e7ae-da3a-4ceb-b644-a9ac29db8873", 
      "version_id": "e3f5177b-b912-44de-a562-7020cc95b364", 
      "key": "10.1007/JHEP02(2019)117.xml", 
      "size": 9146
    }, 
    {
      "checksum": "md5:d017b510a207e1057d85465905106ebd", 
      "filetype": "pdf/a", 
      "bucket": "e9e1e7ae-da3a-4ceb-b644-a9ac29db8873", 
      "version_id": "8ee46c31-62b3-4685-b5eb-4244413e614b", 
      "key": "10.1007/JHEP02(2019)117_a.pdf", 
      "size": 496399
    }
  ], 
  "collections": [
    {
      "primary": "Journal of High Energy Physics"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "gr-qc", 
        "hep-ph", 
        "hep-th"
      ], 
      "value": "1809.03527"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We revisit the physical effects of discrete \u2124 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 \u2014 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-Nordstr\u00f6m solution recovered."
    }
  ], 
  "imprints": [
    {
      "date": "2019-05-07", 
      "publisher": "Springer"
    }
  ]
}
Published on:
07 May 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 2
Pages 1-22
DOI:
https://doi.org/10.1007/JHEP02(2019)117
arXiv:
1809.03527
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: