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 -