Instability of Solitons in imaginary coupling affine Toda Field Theory

Details Instability of Solitons in imaginary coupling affine Toda Field Theory Instability of Solitons in imaginary coupling affine Toda Field Theory

1995-07-03

arxiv.org/abs/hep-th/9507001v1

Prog.Theor.Phys. 95 (1996) 485-502

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex, no figures

Scientific paper

10.1143/PTP.95.485

Affine Toda field theory with a pure imaginary coupling constant is a non-hermitian theory. Therefore the solutions of the equation of motion are complex. However, in $1+1$ dimensions it has many soliton solutions with remarkable properties, such as real total energy/momentum and mass. Several authors calculated quantum mass corrections of the solitons by claiming these solitons are stable. We show that there exists a large class of classical solutions which develops singularity after a finite lapse of time. Stability claims, in earlier literature, were made ignoring these solutions. Therefore we believe that a formulation of quantum theory on a firmer basis is necessary in general and for the quantum mass corrections of solitons, in particular.

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