The Quantum Spectrum of the Conserved Charges in Affine Toda Theories

Abstract

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.

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

References in corpus (8)

• W-symmetry in Conformal Field Theory
• Correlation Functions of the XXZ model for $\Delta <-1$
• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Root Systems and Purely Elastic S-Matrices II
• The Quantum Double in Integrable Quantum Field Theory
• A representation of the exchange relation for affine Toda field theory
• Integrability of the quantum KdV equation at c = -2
• Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof

Cited by in corpus (12)

• Classically integrable boundary conditions for affine Toda field theories
• Affine Toda field theory on a half line
• Affine Toda Solitons and Vertex Operators
• Toda Soliton Mass Corrections and the Particle--Soliton Duality Conjecture
• Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models
• An Algebraic Approach to Form Factors
• Form factors of descendant operators: $A_{L-1}^{(1)}$ affine Toda theory
• The Form Factors in the Sinh-Gordon Model
• The Breakdown of Topology at Small Scales
• Form Factors in $D_n^{(1)}$ Affine Toda Field Theories
• S-matrices and bi-linear sum rules of conserved charges in affine Toda field theories
• On vacuum energies and renormalizability in integrable quantum field theories