Ashtekar's formalism in first-order tetrad form
Journal Article
·
· Physical Review, D (Particles Fields); (USA)
- Department of Physics, Toho University, Funabashi 274, Japan (JP)
- Department of Physics, Ritsumeikan University, Kyoto 603, Japan (JP)
Ashtekar's polynomial constraints for a new canonical gravity are examined in the first-order tetrad formalism. The action is given by the sum of Einstein's action and a complex total divergence term. We find the canonical form of the Hamiltonian explicitly. In the Hamiltonian, the coefficients of Gauss-law constraints are not arbitrary functions but must satisfy nonpolynomial relations. They guarantee the reality condition of canonical variables. In quantum theory an additional measure factor must be required in the inner product of state space.
- OSTI ID:
- 7001777
- Journal Information:
- Physical Review, D (Particles Fields); (USA), Vol. 41:6; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fermions in the Ashtekar-Barbero connection formalism for arbitrary values of the Immirzi parameter
Derivation of Ashtekar variables from tetrad gravity
Nonminimally coupled scalar field and Ashtekar variables
Journal Article
·
Sat Apr 15 00:00:00 EDT 2006
· Physical Review. D, Particles Fields
·
OSTI ID:7001777
Derivation of Ashtekar variables from tetrad gravity
Journal Article
·
Sun Jan 15 00:00:00 EST 1989
· Phys. Rev. D; (United States)
·
OSTI ID:7001777
Nonminimally coupled scalar field and Ashtekar variables
Journal Article
·
Sat Aug 15 00:00:00 EDT 1992
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:7001777
Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM GRAVITY
HAMILTONIANS
COSMOLOGY
DIRAC EQUATION
EINSTEIN FIELD EQUATIONS
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
LAGRANGIAN FUNCTION
POLYNOMIALS
SPIN
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM GRAVITY
HAMILTONIANS
COSMOLOGY
DIRAC EQUATION
EINSTEIN FIELD EQUATIONS
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
LAGRANGIAN FUNCTION
POLYNOMIALS
SPIN
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation