UNIQUENESS OF CANONICAL TENSOR MODEL WITH LOCAL TIME

• 笹倉, 直樹

抄録

Canonical formalism of the rank-three tensor model has recently been proposed, in which "local" time is consistently incorporated by a set of first class constraints. By brute-force analysis, this paper shows that there exist only two forms of a Hamiltonian constraint which satisfies the following assumptions: (i) A Hamiltonian constraint has one index. (ii) The kinematical symmetry is given by an orthogonal group. (iii) A consistent first class constraint algebra is formed by a Hamiltonian constraint and the generators of the kinematical symmetry. (iv) A Hamiltonian constraint is invariant under time reversal transformation. (v) A Hamiltonian constraint is an at most cubic polynomial function of canonical variables. (vi) There are no disconnected terms in a constraint algebra. The two forms are the same except for a slight difference in index contractions. The Hamiltonian constraint which was obtained in the previous paper and behaved oddly under time reversal symmetry can actually be transformed to one of them by a canonical change of variables.

収録刊行物

• International Journal of Modern Physics A

  International Journal of Modern Physics A 27 (18), 2012-07-20

  World Scientific Publishing

キーワード

• Quantum gravity
• tensor model
• fuzzy space
• Hamiltonian formalism

詳細情報

• CRID: 1050001335737413120
• NII論文ID: 120004873532
• NII書誌ID: AA10669072
• ISSN: 0217751X
• HANDLE: 2433/159897
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles