1Department of Physics, Gh. Asachi Technical University, Iasi, Romania2Department of Computers, Gh. Asachi Technical University, Iasi, Romania3Faculty of Physics, Al. I. Cuza University, Iasi, Romania
Gauge Model Based on Group G×SU(2)
ZET Gheorghe1;MANTA Vasile2;POPA Camelia3
1Department of Physics, Gh. Asachi Technical University, Iasi, Romania2Department of Computers, Gh. Asachi Technical University, Iasi, Romania3Faculty of Physics, Al. I. Cuza University, Iasi, Romania
摘要We present a model of gauge theory based on the symmetry group G×SU(2) where G is the gravitational gauge group and SU(2) is the internal group of symmetry. We employ the spacetime of four-dimensional Minkowski, endowed with spherical coordinates, and describe the gauge fields by gauge potentials. The corresponding strength field tensors are calculated and the field equations are written. A solution of these equations is obtained for the case that the gauge potentials have a particular form with spherical symmetry. The solution for the gravitational potentials induces a metric of Schwarzschild type on the gravitational gauge group space.
Abstract：We present a model of gauge theory based on the symmetry group G×SU(2) where G is the gravitational gauge group and SU(2) is the internal group of symmetry. We employ the spacetime of four-dimensional Minkowski, endowed with spherical coordinates, and describe the gauge fields by gauge potentials. The corresponding strength field tensors are calculated and the field equations are written. A solution of these equations is obtained for the case that the gauge potentials have a particular form with spherical symmetry. The solution for the gravitational potentials induces a metric of Schwarzschild type on the gravitational gauge group space.
ZET Gheorghe;MANTA Vasile;POPA Camelia. Gauge Model Based on Group G×SU(2)[J]. 中国物理快报, 2008, 25(2): 433-435.
ZET Gheorghe, MANTA Vasile, POPA Camelia. Gauge Model Based on Group G×SU(2). Chin. Phys. Lett., 2008, 25(2): 433-435.
[1] Cheng T P and Li L F 1984 Gauge Theory of ElementaryParticle Physics (Oxford: Clarendon) p 230 [2] Utiyama R 1956 Phys. Rev. 101 1597 [3] Sciama D W 1964 Rev. Mod. Phys. 36 463 [4] Sciama D W 1964 Rev. Mod. Phys. 36 1103 [5] Kibble T W B 1961 J. Math. Phys. 2 212 [6] Blagojevic M 2003 Three Lectures on PoincareGauge Theory arXiv:gr qc/0302040\qquad [7] Zet G, Manta V and Babeti S 2003 Int. J. Mod. Phys.C 14 41 [8] Gronwald F 1997 Int. J. Mod. Phys. D 6 263 [9] Wiesendanger C 1996 Class. Quant. Grav. 13 681(arXiv:gr-qc/9505049) [10] Manta V and Zet G 2001 Int. J. Mod. Phys. C12 801 [11] Blagojevic M 2002 Gravitation and GaugeSymmetries (London: Institute of Physics Publishing) p 42 [12] Landau L and Lifschitz F 1966 Theorie du Champ(Moscou: Ed. Mir) p 91 [13] Wiesendanger C 1996 Class. Quant. Grav. 13681 [14] Bais F A and Russel R J 1975 Phys. Rev. D 112692 [15] Wu N 2002 Commun. Theor. Phys. 38 151 [16] Wu N 2004 Commun. Theor. Phys. 42 543 [17] Wu N 2003 Commun. Theor. Phys. 39 671 [18] Zet G, Oprisan C D and Babeti S 2004 Int. J. Mod.Phys. C 15 1031 [19] Zet G, Manta V, Oancea S, Radinschi I and Ciobanu B 2006 Math. Comput. Mod. 43 458 [20] Felsager B 1981 Geometry, Particles and Fields(Odense: Odense University Press) p 381 [21] De Witt B S 1969 Dynamical Theory of Groups andFields (Amsterdam: North-Holland) [22] Zet G, Popa C and Partenie D 2007 Commun. Theor.Phys. 47 843
2008, Vol. 25 
