×
Zardecki, Andrew

Gravity as a gauge theory with Cartan connection. (English) Zbl 0651.53062

J. Math. Phys. 29, No. 7, 1661-1666 (1988).
A general framework to describe gravity in terms of the gauge formalism on a fiber bundle with Cartan connection is given. By postulating a quadratic Lagrangian. The Yang’s formulation of gravity is expressed in terms of the Cartan connection. Next, BRS transformation is discussed [see also the paper of M. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. No. 66, 130 p. (1979)]. The BRS invariance of the theory, supplemented by Faddeev-Popov and gauge fixing terms is analyzed here in some detail.
Reviewer: Cornelia-Livia Bejan (Iaşi)

Cited in 3 Documents

MSC:

53C80 Applications of global differential geometry to the sciences
83C99 General relativity

Keywords:

gravity; gauge formalism; Cartan connection; quadratic Lagrangian; BRS transformation
Cite Review PDF
Full Text: DOI

References:

[1] DOI: 10.1063/1.1703702 · Zbl 0095.22903 · doi:10.1063/1.1703702
[2] DOI: 10.1063/1.1703702 · Zbl 0095.22903 · doi:10.1063/1.1703702
[3] DOI: 10.1016/0034-4877(70)90003-0 · Zbl 0204.29802 · doi:10.1016/0034-4877(70)90003-0
[4] DOI: 10.1016/0370-1573(84)90019-X · doi:10.1016/0370-1573(84)90019-X
[5] DOI: 10.1016/0370-1573(84)90019-X · doi:10.1016/0370-1573(84)90019-X
[6] DOI: 10.1016/0550-3213(85)90324-4 · doi:10.1016/0550-3213(85)90324-4
[7] DOI: 10.1016/0550-3213(85)90324-4 · doi:10.1016/0550-3213(85)90324-4
[8] DOI: 10.1016/0550-3213(85)90324-4 · doi:10.1016/0550-3213(85)90324-4
[9] DOI: 10.1103/PhysRevLett.43.91 · doi:10.1103/PhysRevLett.43.91
[10] DOI: 10.1103/PhysRevLett.43.91 · doi:10.1103/PhysRevLett.43.91
[11] DOI: 10.1103/PhysRevD.17.3168 · doi:10.1103/PhysRevD.17.3168
[12] DOI: 10.4153/CJM-1956-018-8 · Zbl 0075.31502 · doi:10.4153/CJM-1956-018-8
[13] DOI: 10.4153/CJM-1956-018-8 · Zbl 0075.31502 · doi:10.4153/CJM-1956-018-8
[14] DOI: 10.1063/1.523429 · Zbl 0354.53028 · doi:10.1063/1.523429
[15] Trautman A., Symp. Math. 12 pp 139– (1973)
[16] Drechsler W., Ann. Inst. H. Poincaré 37 pp 155– (1982)
[17] DOI: 10.1088/0264-9381/4/2/012 · Zbl 0618.53059 · doi:10.1088/0264-9381/4/2/012
[18] DOI: 10.1088/0264-9381/4/2/012 · Zbl 0618.53059 · doi:10.1088/0264-9381/4/2/012
[19] DOI: 10.1103/PhysRevD.15.2795 · doi:10.1103/PhysRevD.15.2795
[20] DOI: 10.1103/PhysRevLett.38.739 · doi:10.1103/PhysRevLett.38.739
[21] DOI: 10.1103/PhysRevD.22.1325 · doi:10.1103/PhysRevD.22.1325
[22] DOI: 10.1103/PhysRevD.18.3535 · doi:10.1103/PhysRevD.18.3535
[23] DOI: 10.1103/PhysRevD.18.3535 · doi:10.1103/PhysRevD.18.3535
[24] DOI: 10.1103/PhysRevD.18.3535 · doi:10.1103/PhysRevD.18.3535
[25] DOI: 10.1103/PhysRevD.18.3535 · doi:10.1103/PhysRevD.18.3535
[26] DOI: 10.1103/PhysRevD.18.3535 · doi:10.1103/PhysRevD.18.3535
[27] DOI: 10.1103/PhysRevD.18.3535 · doi:10.1103/PhysRevD.18.3535
[28] DOI: 10.1103/PhysRevD.18.3535 · doi:10.1103/PhysRevD.18.3535
[29] DOI: 10.1103/PhysRevD.28.286 · doi:10.1103/PhysRevD.28.286
[30] DOI: 10.1103/PhysRevD.28.286 · doi:10.1103/PhysRevD.28.286
[31] DOI: 10.1103/PhysRevD.36.351 · doi:10.1103/PhysRevD.36.351
[32] DOI: 10.1103/PhysRevD.36.351 · doi:10.1103/PhysRevD.36.351
[33] DOI: 10.1103/PhysRevLett.33.445 · Zbl 1329.81278 · doi:10.1103/PhysRevLett.33.445
[34] DOI: 10.1143/PTPS.66.1 · doi:10.1143/PTPS.66.1
[35] DOI: 10.1016/0370-2693(79)90200-4 · doi:10.1016/0370-2693(79)90200-4
[36] DOI: 10.1063/1.524385 · doi:10.1063/1.524385
[37] DOI: 10.1063/1.524385 · doi:10.1063/1.524385
[38] DOI: 10.1063/1.524385 · doi:10.1063/1.524385
[39] DOI: 10.1007/BF02724929 · Zbl 0081.22001 · doi:10.1007/BF02724929
[40] DOI: 10.1103/PhysRevD.16.2438 · doi:10.1103/PhysRevD.16.2438
[41] DOI: 10.1103/PhysRevD.16.2438 · doi:10.1103/PhysRevD.16.2438
[42] DOI: 10.1063/1.525123 · Zbl 0473.58024 · doi:10.1063/1.525123
[43] DOI: 10.1016/0550-3213(83)90304-8 · doi:10.1016/0550-3213(83)90304-8
[44] DOI: 10.1016/0550-3213(83)90304-8 · doi:10.1016/0550-3213(83)90304-8
[45] DOI: 10.1016/0550-3213(83)90304-8 · doi:10.1016/0550-3213(83)90304-8
[46] DOI: 10.1143/PTP.64.625 · Zbl 1059.81606 · doi:10.1143/PTP.64.625
[47] DOI: 10.1103/PhysRevD.24.471 · doi:10.1103/PhysRevD.24.471
[48] DOI: 10.1103/PhysRevD.27.1396 · doi:10.1103/PhysRevD.27.1396
[49] DOI: 10.1103/PhysRevD.27.1396 · doi:10.1103/PhysRevD.27.1396
[50] DOI: 10.1103/PhysRevD.27.1396 · doi:10.1103/PhysRevD.27.1396
[51] DOI: 10.1103/PhysRevD.33.2788 · doi:10.1103/PhysRevD.33.2788
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.