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Path-dependent formulation of gravitation as a gauge theory

Эависящая от траектории формулировка гравитации, как калибровочная теория

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Il Nuovo Cimento A (1965-1970)

Summary

A satisfactory description of Riemann-CartanU 4 manifolds is obtained as a gauge theory associated with the Poincaré group and formulated in flat space-time. The formulation does not introduce anyad hoc prescription to identify the tetrads. The connection with the usual local descriptions is also worked out explicitly.

Riassunto

Si ottiene una descrizione soddisfacente delle varietàU 4 di Riemann-Cartan come teoria di gauge associata al gruppo di Poincaré e formulata nello spazio-tempo piatto. La formulazione non introduce nessuna prescrizionead hoc per identificare le tetradi. Si elabora esplicitamente la connessione con le consuete descrizioni locali.

Резюме

Получается удовлетворительное описание множетсв Римана-КартанаU 4, как калибровочная теория, связанная с группой Пуанкаре и сформулированная в плоском пространстве-времени. Предложенная формулировка не вводит предписания для идентифицирования тетрад. Отмечается связь с обычными локальными описаниями.

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References

  1. C. N. Yang:Phys. Rev. Lett.,33, 445 (1974).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. F. Mansouri andL. N. Chang:Phys. Rev. D,13, 3192 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  3. Y. M. Cho:Phys. Rev. D,14, 3335 (1976).

    Article  ADS  Google Scholar 

  4. T. W. Kibble:J. Math. Phys. (N.Y.),2, 212 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  5. F. W. Hehl, P. van der Heyde, G. D. Kerlick andJ. M. Nester:Rev. Mod. Phys.,48, 393 (1976).

    Article  ADS  Google Scholar 

  6. S. Mandelstam:Ann. Phys. (N.Y.),19, 25 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  7. R. Gambini andA. Trias:Phys. Rev. D,23, 553 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  8. A. M. Polyakov:Nucl. Phys. B,164, 171 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  9. R. Gambini andA. Trias:Phys. Rev. D,22, 1380 (1980).

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Departamento de Física Teorica, Facultad de Ciencias, Universidad Autónoma, Canto Blanco, 34, Madrid, Spain

    R. Gambini & A. Trias

Authors
  1. R. Gambini
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  2. A. Trias
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Gambini, R., Trias, A. Path-dependent formulation of gravitation as a gauge theory. Nuov Cim A 80, 488–498 (1984). https://doi.org/10.1007/BF02773509

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  • DOI: https://doi.org/10.1007/BF02773509

PACS 11.10

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