scholarly journals How to Solve the Covariant Operator Formalism of Gauge Theories and Quantum Gravity in the Heisenberg Picture. IV: Cauchy Problem Involving Noncommutative Quantities

1993 ◽  
Vol 90 (3) ◽  
pp. 705-716 ◽  
Author(s):  
M. Abe ◽  
N. Nakanishi
Keyword(s):  
Cauchy Problem ◽  
Quantum Gravity ◽  
Gauge Theories ◽  
Operator Formalism ◽  
Heisenberg Picture ◽  
Covariant Operator

COVARIANT OPERATOR FORMALISM OF TWO-DIMENSIONAL TOPOLOGICAL GRAVITY

1992 ◽  
Vol 07 (13) ◽  
pp. 3105-3131
Author(s):  
NORIAKI IKEDA
Keyword(s):  
Quantum Gravity ◽  
Two Dimensional ◽  
Operator Formalism ◽  
Canonical Operator ◽  
Covariant Operator ◽  
Gauge Fixing ◽  
Topological Gravity

The manifestly covariant canonical operator formalism of two-dimensional topological gravity is formulated. Its unitarity is confirmed by means of constructing the Kugo–Ojima's quartets. A number of new symmetries are found by adopting a particular gauge fixing condition. These symmetries correspond to the "choral symmetry" generated by the 4N-dimensional Poincaré-like superalgebra in the ordinary N-dimensional quantum gravity.

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