TY - JOUR

T1 - Scaling solution for cosmological models at large N

AU - Turok, Neil

AU - Spergel, David N.

PY - 1991

Y1 - 1991

N2 - We study the evolution of the nonlinear O(N) model in an expanding universe in the large-N approximation, where one can solve exactly for the scaling field distribution, 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>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.

AB - We study the evolution of the nonlinear O(N) model in an expanding universe in the large-N approximation, where one can solve exactly for the scaling field distribution, 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>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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U2 - 10.1103/PhysRevLett.66.3093

DO - 10.1103/PhysRevLett.66.3093

M3 - Article

C2 - 10043697

AN - SCOPUS:0001516278

SN - 0031-9007

VL - 66

SP - 3093

EP - 3096

JO - Physical review letters

JF - Physical review letters

IS - 24

ER -