Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-17
Phys.Rev.D81:105008,2010
Physics
High Energy Physics
High Energy Physics - Theory
4 pages; v2: +1 figure, typos corrected, formula (23) corrected; improved explanation and discussion throughout the text; refe
Scientific paper
10.1103/PhysRevD.81.105008
We give an analytical derivation of the mass gap of the O(N) sigma models and
investigate a large-order behavior of the weak coupling asymptotic expansion
for the energy. For sufficiently large N the series is sign-oscillating, which
is expected from the large N solution of the sigma model. However, for N=3 and
N=4 the series are sign positive.
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