<p>Inelastic effects in the Ising model are analyzed. The Ising model is considered as the Ising field theory with a magnetic field perturbed by the energy density operator <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11448_2025_4302_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varepsilon \)</EquationSource> <!--JETPLet2560807Menskoy-m1--> </InlineEquation>. The inclusion of this operator leads to the emergence of the scattering of the lightest particles in the theory with the formation of two particles (the lightest and the next in mass). The scattering cross section is calculated and its asymptotic forms are determined for high energies and above the threshold.</p>

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Inelastic Effects in the Ising Model

  • D. D. Menskoy

摘要

Inelastic effects in the Ising model are analyzed. The Ising model is considered as the Ising field theory with a magnetic field perturbed by the energy density operator \(\varepsilon \) . The inclusion of this operator leads to the emergence of the scattering of the lightest particles in the theory with the formation of two particles (the lightest and the next in mass). The scattering cross section is calculated and its asymptotic forms are determined for high energies and above the threshold.