Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-05-06
Phys. Rev. D 81, 025017 (2010)
Physics
Condensed Matter
Statistical Mechanics
6 pages of RevTex4-1, 1 figure; to be published in Physical Review D
Scientific paper
10.1103/PhysRevD.81.025017
We present an analytical derivation of the winding number counting topological defects created by an O(N) symmetry-breaking quantum quench in N spatial dimensions. Our approach is universal in the sense that we do not employ any approximations apart from the large-$N$ limit. The final result is nonperturbative in N, i.e., it cannot be obtained by %the usual an expansion in 1/N, and we obtain far less topological defects than quasiparticle excitations, in sharp distinction to previous, low-dimensional investigations.
Fischer Uwe R.
Schützhold Ralf
Uhlmann Michael
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