Nonperturbative quantum geometries

作者: Ted Jacobson , Lee Smolin

DOI: 10.1016/0550-3213(88)90286-6

关键词: Classical mechanicsQuantum statePhysicsAshtekar variablesGeneral relativityProblem of timeQuantum geometryLoop quantum gravityWheeler–DeWitt equationHamiltonian constraintTheoretical physics

摘要: … family of quantum states of the gravitational field which are … regulated physical states of the gravitational field is a task which … To specify the phase space of real, as opposed to complex, …

参考文章(24)
Louis H. Kauffman, Formal Knot Theory ,(1983)
Paul Adrien Maurice Dirac, Lectures on Quantum Mechanics ,(2001)
P. A. M. Dirac, Generalized Hamiltonian dynamics Canadian Journal of Mathematics. ,vol. 2, pp. 129- 148 ,(1950) , 10.4153/CJM-1950-012-1
T Jacobson, L Smolin, Covariant action for Ashtekar's form of canonical gravity Classical and Quantum Gravity. ,vol. 5, pp. 583- 594 ,(1988) , 10.1088/0264-9381/5/4/006
Bryce S. DeWitt, Gravity: a Universal Regulator? Physical Review Letters. ,vol. 13, pp. 114- 118 ,(1964) , 10.1103/PHYSREVLETT.13.114
Ted Jacobson, Lee Smolin, The left-handed spin connection as a variable for canonical gravity Physics Letters B. ,vol. 196, pp. 39- 42 ,(1987) , 10.1016/0370-2693(87)91672-8
R. Arnowitt, S. Deser, C. W. Misner, Canonical Variables for General Relativity Physical Review. ,vol. 117, pp. 1595- 1602 ,(1960) , 10.1103/PHYSREV.117.1595
C.J. Isham, K.V. Kuchar, Representations of spacetime diffeomorphisms. I. Canonical parametrized field theories Annals of Physics. ,vol. 164, pp. 288- 315 ,(1985) , 10.1016/0003-4916(85)90018-1
Peter G. Bergmann, Robert Penfield, Ralph Schiller, Henry Zatzkis, The Hamiltonian of the General Theory of Relativity with Electromagnetic Field Physical Review. ,vol. 80, pp. 81- 88 ,(1950) , 10.1103/PHYSREV.80.81