Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-03
Nucl.Phys.B849:654-674,2011
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 3 figures; typos corrected
Scientific paper
10.1016/j.nuclphysb.2011.04.005
Two-particle scattering in Ising field theory in a weak magnetic field h is studied in the regime T>T_c, using perturbation theory in h^2. We calculate explicitly the cross-section of the process 2->3 to the order h^2. To this order, the corresponding cross-section dominates the total cross-section (the probability of all inelastic processes) at all energies E. We show that at high energies the h^2 term in the total cross-section grows as 16 G_3 h^2 log(E) where G_3 is exactly the third moment of the Euclidean spin-spin correlation function. Going beyond the leading order, we argue that at small h^2 the probability of the 2->2 process decays as E^(-16G_3 h^2) as E->infinity.
Zamolodchikov Al.
Ziyatdinov Iskander
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