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- W3099066873 abstract "We study the renormalization and conservation at the quantum level of higher-spin currents in affine Toda theories with particular emphasis on the nonsimply-laced cases. For specific examples, namely the spin-3 current for the $a_3^{(2)}$ and $c_2^{(1)}$ theories, we prove conservation to all-loop order, thus establishing the existence of factorized S-matrices. For these theories, as well as the simply-laced $a_2^{(1)}$ theory, we compute one-loop corrections to the corresponding higher-spin charges and study charge conservation for the three-particle vertex function. For the $a_3^{(2)}$ theory we show that although the current is conserved, anomalous threshold singularities spoil the conservation of the corresponding charge for the on-shell vertex function, implying a breakdown of some of the bootstrap procedures commonly used in determining the exact S-matrix." @default.
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- W3099066873 date "1992-10-01" @default.
- W3099066873 modified "2023-09-27" @default.
- W3099066873 title "Quantum conserved currents in affine Toda theories" @default.
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- W3099066873 doi "https://doi.org/10.1016/0550-3213(92)90103-i" @default.
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