Quantum mass corrections for affine Toda solitons

Abstract

We calculate the first quantum corrections to the masses of solitons in imaginary-coupling affine Toda theories using the semi-classical method of Dashen, Hasslacher and Neveu. The theories divide naturally into those based on the simply-laced, the twisted and the untwisted non-simply-laced algebras. We find that the classical relationships between soliton and particle masses found by Olive {\em et al.\ }persist for the first two classes, but do not appear to do so naively for the third.

39pp, .uu compressed dvifile. Revised version alters two references and includes hep-th no. on Title page

References in corpus (23)

• Quantum Solitons in Affine Toda Field Theories
• Affine Toda field theory on a half line
• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• Affine Toda Solitons and Vertex Operators
• Quantizing SL(N) Solitons and the Hecke Alegbra
• Root Systems and Purely Elastic S-Matrices II
• On a generalised bootstrap principle
• Aspects of affine Toda field theory on a half line
• Affine Toda Solitons and Automorphisms of Dynkin Diagrams
• Duality in Quantum Toda theory and W-algebras
• Vertex Operators and Soliton Time Delays in Affine Toda Field Theory
• Infinite Families of Gauge-Equivalent $R$-Matrices and Gradations of Quantized Affine Algebras
• A remark on the coupling-dependence in affine Toda field theories
• Quantum Soliton Mass Corrections in SL(N) Affine Toda Theory
• Exact s-Matrices for the Nonsimply-Laced Affine Toda Theories $a_{2n-1}^{(2)}$
• Crossing and Antisolitons in Affine Toda Theories
• Quantum Conserved Currents in Affine Toda Theories
• The Topological Charges of the $a_n^{(1)}$ Affine Toda Solitons
• Partition Functions, Intertwiners and the Coxeter Element
• G_2^1 Affine Toda Field Theory: A Numerical Test of Exact S-Matrix results
• Toda Soliton Mass Corrections and the Particle--Soliton Duality Conjecture
• Quantum Mass corrections for C_2^(1) Affine Toda theory solitons
• Integrable vector perturbations of W-invariant theories and their quantum group symmetry

Cited by in corpus (14)

• Twisted algebra R-matrices and S-matrices for $b_n^{(1)}$ affine Toda solitons and their bound states
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Exact S-matrices for d_{n+1}^{(2)} affine Toda solitons and their bound states
• Inverse scattering and solitons in $A_{n-1}$ affine Toda field theories
• Toda Soliton Mass Corrections and the Particle--Soliton Duality Conjecture
• Trigonometric S-Matrices, Affine Toda Solitons and Supersymmetry
• A Moyal Quantization of the Continuous Toda Field
• Exact quantum S-matrices for solitons in simply-laced affine Toda field theories
• Recent developments in affine Toda field theory
• Quantum Affine Symmetry and Scattering Amplitudes of the Imaginary Coupled d_4(3) Affine Toda Field Theory
• The R-matrix of the U_q(d_4(3)) algebra and g_2(1) affine Toda field theory
• Remarks on excited states of affine Toda solitons
• Restricted Quantum Theory of Affine Toda Solitons
• Quantum affine Toda solitons