Quantization of Robertson-Walker geometry coupled to a spin-(3/2 field

Journal Article · Mon Aug 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.1063· OSTI ID:6853768

Christodoulakis, T; Papadopoulos, C G

A Robertson-Walker geometry coupled to a spin-(3/2 field is quantized applying Dirac's theory for constrained Hamiltonian systems. An ansatz for the matter field is made, dictated both by the iso- tropy and homogeneity of the geometry and the need to have no negative-norm states at the quantum level. This ansatz also avoids the difficulties of the derivative coupling naturally brought by the spin-(3/2 field. After the factor-ordering problem has been resolved the resulting Wheeler-DeWitt equation is solved. It is thus found that the probability density of finding the system with a scale factor R vanishes, as R approaches the classically singular value R = 0.

• Research Organization: Physics Department, University of Athens, Panepistimioupolis 15771, Athens Greece
• OSTI ID: 6853768
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 38:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
COSMOLOGY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
HAMILTONIANS
MATHEMATICAL OPERATORS
MATTER
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
PROBABILITY
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUANTUM OPERATORS
SPIN
SUPERGRAVITY
UNIFIED-FIELD THEORIES
WAVE EQUATIONS