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Volumn 60, Issue 2, 1999, Pages

The quadratic spinor Lagrangian is equivalent to the teleparallel theory

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EID: 16444369214     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.021501     Document Type: Article
Times cited : (41)

References (39)
  • 3
    • 85037192437 scopus 로고    scopus 로고
    • R.S. Tung, Ph.D. dissertation, National Central University, 1996
    • R.S. Tung, Ph.D. dissertation, National Central University, 1996.
  • 6
    • 85037251921 scopus 로고    scopus 로고
    • gr-qc/9904008
    • R.S. Tung, “Gravitation as a supersymmetric gauge theory,” gr-qc/9904008.
    • Tung, R.S.1
  • 9
    • 85037229437 scopus 로고    scopus 로고
    • For the body of our work, we consider the source free “vacuum” theory. The issue of coupling to sources is noted later
    • For the body of our work, we consider the source free “vacuum” theory. The issue of coupling to sources is noted later.
  • 10
    • 85037197339 scopus 로고    scopus 로고
    • J.A. Schouten, Ricci Calculus, 2nd ed. (Springer-Verlag, London, 1954), p. 141
    • J.A. Schouten, Ricci Calculus, 2nd ed. (Springer-Verlag, London, 1954), p. 141.
  • 22
    • 0033472426 scopus 로고    scopus 로고
    • There are other teleparallel representations of GR, see J.M. Nester and H.-J. Yo, Chin. J. Phys.37, 113 (1999).
    • (1999) Chin. J. Phys. , vol.37 , pp. 113
    • Nester, J.M.1    Yo, H.-J.2
  • 23
    • 0001117240 scopus 로고
    • Also note that there are many teleparallel theories which are not equivalent to GR, e.g., K. Hayashi and T. Shirafuji, Phys. Rev. D 19, 3524 (1979).
    • (1979) Phys. Rev. D , vol.19 , pp. 3524
    • Hayashi, K.1    Shirafuji, T.2
  • 24
    • 85037233678 scopus 로고    scopus 로고
    • Concerning the inclusion of sources in the field equations, the proper source coupling is such that a test particle without spin will only feel the Riemannian structure. In GR sources with spin couple to the connection, their standard GR coupling is not equivalent to “minimal coupling” with respect to the teleparallel geometry
    • Concerning the inclusion of sources in the field equations, the proper source coupling is such that a test particle without spin will only feel the Riemannian structure. In GR sources with spin couple to the connection, their standard GR coupling is not equivalent to “minimal coupling” with respect to the teleparallel geometry.
  • 31
    • 85037189013 scopus 로고    scopus 로고
    • For the equation of motion with sources, the equivalent to the GR source coupling is reproduced by incorporating the metric (via the tetrad) into the source Lagrangian. In some cases that may be easily translated into an equivalent coupling to the spinor field (Formula presented). However, we do not expect to find a general prescription for coupling the QSL spinor field to a source in a way that would be compatible with the spinor’s local Lorentz gauge freedom
    • For the equation of motion with sources, the equivalent to the GR source coupling is reproduced by incorporating the metric (via the tetrad) into the source Lagrangian. In some cases that may be easily translated into an equivalent coupling to the spinor field (Formula presented). However, we do not expect to find a general prescription for coupling the QSL spinor field to a source in a way that would be compatible with the spinor’s local Lorentz gauge freedom.
  • 32
    • 85037203095 scopus 로고    scopus 로고
    • This Hamiltonian is similar to, but distinct from the one associated with the Witten positive energy proof
    • This Hamiltonian is similar to, but distinct from the one associated with the Witten positive energy proof 126.
  • 36
    • 85037243531 scopus 로고    scopus 로고
    • Some recent works, For a connection with Ashtekar’s new variables, see
    • Some recent works 3031 have noted a connection between the QSL formulation and chiral supergravity.For a connection with Ashtekar’s new variables, see 32.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.