Vacuum polarization of massive scalar fields on the black hole horizon

Hiroko Koyama, Yasusada Nambu, Akira Tomimatsu

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Vacuum polarization of massive scalar fields in a thermal state at arbitrary temperature is studied near the horizon of a Reissner-Nordstrom black hole. We derived an analytic form of (φ2) approximately in the large mass limit near the black hole horizon. We uses the zeroth order WKB approximation and power series expansion near the horizon for the Euclideanized mode function. Our formula for the vacuum polarization shows regular behavior on the horizon if the temperature of the scalar field is equal to the Hawking temperature of the black hole. The finite part of the vacuum polarization agrees with the result of the DeWitt-Schwinger approximation up to O(m-4) which is the next-to-leading order of the expansion.

Original languageEnglish
Pages (from-to)815-824
Number of pages10
JournalModern Physics Letters A
Issue number11-12
Publication statusPublished - Apr 20 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics
  • General Physics and Astronomy


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