The characteristic equations which give the mass spectrum of the affine Toda field theories are analyzed. In order to determine the decoupling point of the finite renormalization due to the tadpoles we introduce the so-called mass formulae. We derive the recursive equations the mass formulae satisfy and study their properties for all Lie algebras. For the ADE series the mass formulae turn out to be sequences of integers.
Mass formulas in Toda field-theories / Koca, M; Mussardo, Giuseppe. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS A. - ISSN 0217-751X. - 6:9(1991), pp. 1543-1565. [10.1142/S0217751X91000824]
Mass formulas in Toda field-theories
Mussardo, Giuseppe
1991-01-01
Abstract
The characteristic equations which give the mass spectrum of the affine Toda field theories are analyzed. In order to determine the decoupling point of the finite renormalization due to the tadpoles we introduce the so-called mass formulae. We derive the recursive equations the mass formulae satisfy and study their properties for all Lie algebras. For the ADE series the mass formulae turn out to be sequences of integers.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
