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UNIFIED GAUGE THEORY ON NONCOMMUTATIVE SPACE-TIME

机译:非交换时空的统一规范理论

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摘要

A gauge theory describing simultaneously different interactions between internal SU(2) gauge and gravitational fields is formulated, choosing the group SU(2)×50(4,1) as a local symmetry. Both internal and external (space-time) symmetries are considered. All the fields are described by gauge potentials. A solution of Schwarzschild-Reissner-Nordstrom-de-Sitter type is obtained first in the commutative space-time. We suppose then that the space-time is noncommutative. The corrections for tetrad fields and metric components are calculated up to the second order in the noncommutativity parameter. The solutions reduce to the deformed Reissner-Nordstrom or Schwarzschild ones when the cosmological constant and respectively the electric charge of the gravitational source vanish.
机译:建立了同时描述内部SU(2)规范和重力场之间不同相互作用的规范理论,选择了SU(2)×50(4,1)组作为局部对称性。内部和外部(时空)对称性均被考虑。所有字段均由标尺电势描述。在交换时空中首先获得Schwarzschild-Reissner-Nordstrom-de-Sitter类型的解。那么我们假设时空是不可交换的。在非交换性参数中,计算到四阶场和度量分量的校正直到第二阶。当宇宙常数和引力源的电荷消失时,解减小为变形的Reissner-Nordstrom或Schwarzschild形。

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  • 来源
    《Romanian journal of physics》 |2008年第6期|635-644|共10页
  • 作者

    GHEORGHE ZET;

  • 作者单位

    Department of Physics, 'Gh. Asachi' Technical University, Iasi, Romania;

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  • 正文语种 eng
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