The Quantum Spectrum of the Conserved Charges in Affine Toda Theories

Details The Quantum Spectrum of the Conserved Charges in Affine Toda Theories The Quantum Spectrum of the Conserved Charges in Affine Toda Theories

1994-01-17

arxiv.org/abs/hep-th/9401078v1

Nucl.Phys. B424 (1994) 184-218

Physics

High Energy Physics

High Energy Physics - Theory

38p, 1 fig. included, MPI-Ph/93-92, LATEX

Scientific paper

10.1016/0550-3213(94)90094-9

The exact eigenvalues of the infinite set of conserved charges on the multi-particle states in affine Toda theories are determined. This is done by constructing a free field realization of the Zamolodchikov-Faddeev algebra in which the conserved charges are realized as derivative operators. The resulting eigenvalues are renormalization group (RG) invariant, have the correct classical limit and pass checks in first order perturbation theory. For $n=1$ one recovers the (RG invariant form of the) quantum masses of Destri and DeVega.

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