Gauge Fixing in the Tensor Model and Emergence of Local Gauge Symmetries(Particles and Fields)

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概要

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• The tensor model can be regarded as a theory of dynamical fuzzy spaces, and provides a way to formulate gravity on fuzzy spaces. It has recently been shown that the low-lying fluctuations around the Gaussian background solutions in the tensor model agree correctly with the metric fluctuations on the flat spaces with general dimensions in the general relativity. This suggests that the local gauge symmetry (the symmetry of local translations) is also emergent around these solutions. To systematically study this possibility, I apply the BRST gauge fixing procedure to the tensor model. The ghost quadratic term is numerically analyzed, and it has been found that there exist some massless trajectories of ghost modes, which are clearly separated from the other higher ghost modes. By comparing with the corresponding BRST gauge fixing in the general relativity, these ghost modes forming the massless trajectories in the tensor model are shown to be identical to the reparametrization ghost fields in the general relativity.

• 理論物理学刊行会の論文
• 2009-08-25

著者

• Sasakura Naoki

  Yukawa Institute For Theoretical Physics Kyoto University

関連論文

• Gauge Fixing in the Tensor Model and Emergence of Local Gauge Symmetries(Particles and Fields)
• Braided Quantum Field Theories and Their Symmetries(Particles and Fields)
• Emergent General Relativity in Fuzzy Spaces from Tensor Models(Particles and Fields)

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