String wave function across a Kasner singularity

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.126006· OSTI ID:21408124

Copeland, Edmund J; Niz, Gustavo ^[1]; Turok, Neil ^[2]

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1. School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD (United Kingdom)
2. Perimeter Institute for Theoretical Physics, 31 Caroline Street N, Waterloo, Ontario N2L2Y5 (Canada)

A collision of orbifold planes in 11 dimensions has been proposed as an explanation of the hot big bang. When the two planes are close to each other, the winding membranes become the lightest modes of the theory, and can be effectively described in terms of fundamental strings in a ten-dimensional background. Near the brane collision, the 11-dimensional metric is a Euclidean space times a 1+1-dimensional Milne universe. However, one may expect small perturbations to lead into a more general Kasner background. In this paper we extend the previous classical analysis of winding membranes to Kasner backgrounds, and using the Hamiltonian equations, solve for the wave function of loops with circular symmetry. The evolution across the singularity is regular, and explained in terms of the excitement of higher oscillation modes. We also show there is finite particle production and unitarity is preserved.

• OSTI ID: 21408124
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLLISIONS
DISTURBANCES
EUCLIDEAN SPACE
FUNCTIONS
HAMILTONIANS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
METRICS
MILNE PROBLEM
OSCILLATION MODES
PARTICLE PRODUCTION
PERTURBATION THEORY
QUANTUM OPERATORS
RIEMANN SPACE
SIMULATION
SINGULARITY
SPACE
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
UNITARITY
UNIVERSE
WAVE FUNCTIONS