Scaling solution for cosmological sigma models at large N

Details Scaling solution for cosmological sigma models at large N Scaling solution for cosmological sigma models at large N

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvl..66.3093t&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 66, June 17, 1991, p. 3093-3096. Alfred P. Sloan Foundation-supported research.

Mathematics

Logic

71

Cosmology, Digital Simulation, Scaling Laws, Gravity Waves, Microwaves, Normal Density Functions, Power Spectra

Scientific paper

The evolution of the nonlinear O(N) sigma model in an expanding universe in the large-N approximation, where one can solve exactly for the scaling field distribution, is studied by incorporating the full nonlinear dynamics. This provides a valuable analytic approximation for theories of cosmic global monopoles (N = 3), global texture (N = 4), and 'nontopological texture' (N above 4). The analytic results are compared with those from numerical simulations, with good agreement. The probability distribution for mass fluctuations in the linear regime is positively skewed, providing a distinctive test for the theory.

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