Instability of Solitons in Imaginary Coupling Affine Toda Field Theory | Zendy

S. Pratik Khastgir | Zendy; Ryu Sasaki | Zendy

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Instability of Solitons in Imaginary Coupling Affine Toda Field Theory

Author(s) -

S. Pratik Khastgir,

Ryu Sasaki

Publication year - 1996

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.95.485

Subject(s) - physics , singularity , coupling constant , soliton , affine transformation , quantum , quantum field theory , momentum (technical analysis) , instability , classical mechanics , quantum mechanics , mathematical physics , nonlinear system , mathematical analysis , mathematics , finance , pure mathematics , economics

Affine Toda field theory with a pure imaginary coupling constant is anon-hermitian theory. Therefore the solutions of the equation of motion arecomplex. However, in $1+1$ dimensions it has many soliton solutions withremarkable properties, such as real total energy/momentum and mass. Severalauthors calculated quantum mass corrections of the solitons by claiming thesesolitons are stable. We show that there exists a large class of classicalsolutions which develops singularity after a finite lapse of time. Stabilityclaims, in earlier literature, were made ignoring these solutions. Therefore webelieve that a formulation of quantum theory on a firmer basis is necessary ingeneral and for the quantum mass corrections of solitons, in particular.Comment: 17 pages, latex, no figure

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