Equivalence of massless boson and fermion theories in curved two-dimensional space-time: Sugawara stress tensor

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It is shown that the well known equivalence of two-dimensional massless scalar and spinor quantum field theories extends to curved space-time. The vacuum Sugawara stress tensor for a spinor field is evaluated by a covariant point-separation procedure and found to be identical to the scalar vacuum stress, previously evaluated by Davies and Unruh (1977) to be equivalent to the conventional fermion stress tensor (in the absence of compact spatial sections).

Original languageEnglish (US)
Article number019
Pages (from-to)179-185
Number of pages7
JournalJournal of Physics A: Mathematical and General
Issue number1
StatePublished - Dec 1 1978
Externally publishedYes


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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