Quasi-Exact Solvability in Local Field Theory. First Steps

Details Quasi-Exact Solvability in Local Field Theory. First Steps Quasi-Exact Solvability in Local Field Theory. First Steps

1996-07-10

arxiv.org/abs/hep-th/9607080v1

Mod.Phys.Lett. A13 (1998) 593-604

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 11 pages

Scientific paper

10.1142/S0217732398000644

The quantum mechanical concept of quasi-exact solvability is based on the idea of partial algebraizability of spectral problem. This concept is not directly extendable to the systems with infinite number of degrees of freedom. For such systems a new concept based on the partial Bethe Ansatz solvability is proposed. In present paper we demonstrate the constructivity of this concept and formulate a simple method for building quasi-exactly solvable field theoretical models on a one-dimensional lattice. The method automatically leads to local models described by hermitian hamiltonians.

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