Abstract
A relation between the coupling constants of interacting nonlinear scalar field ϕ(x 0, x 1) and a spinor one \(\psi (x_{\text{o}} ,x_1 ),L_{\operatorname{int} } = - \bar g^2 /2e^{2\phi } g\prime e^\phi \bar \psi \psi \) was established. This relation leads to the finite series of perturbation theory for the dynamical variable e -ϕ. In the classical limit ħ→0 the considered system turns out to be described by the supersymmetric Liouville equation.
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Leznov, A.N., Khrushchov, V.V. The supersymmetric Liouville equation in the quantum region. Lett Math Phys 7, 453–457 (1983). https://doi.org/10.1007/BF00402244
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DOI: https://doi.org/10.1007/BF00402244