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

P. C.W. Davies

doi:10.1088/0305-4470/11/1/019

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

P. C.W. Davies

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7 Scopus citations

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 language	English (US)
Article number	019
Pages (from-to)	179-185
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	11
Issue number	1
DOIs	https://doi.org/10.1088/0305-4470/11/1/019
State	Published - 1978
Externally published	Yes

ASJC Scopus subject areas

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

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10.1088/0305-4470/11/1/019

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).",

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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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ER -

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

Abstract

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