Equivalence of massless boson and fermion theories in curved two-dimensional space-time

Sugawara stress tensor

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6 Citations (Scopus)

Abstract

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: General Physics
Volume11
Issue number1
DOIs
StatePublished - 1978
Externally publishedYes

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Bosons
Fermions
Stress Tensor
Spinor
stress tensors
Tensors
equivalence
Vacuum
bosons
fermions
Space-time
Equivalence
Scalar
scalars
vacuum
Quantum Field Theory

ASJC Scopus subject areas

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

Cite this

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title = "Equivalence of massless boson and fermion theories in curved two-dimensional space-time: Sugawara stress tensor",
abstract = "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).",
author = "Paul Davies",
year = "1978",
doi = "10.1088/0305-4470/11/1/019",
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journal = "Journal of Physics A: Mathematical and Theoretical",
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AB - 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).

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