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Mass Formulae in Toda Field Theories

Mehmet Koca
(
- CERN
)
,
Giuseppe Mussardo
(
- UC, Santa Barbara
)

Feb, 1990

29 pages

Published in:

Int.J.Mod.Phys.A 6 (1991) 1543-1566

DOI:

10.1142/S0217751X91000824

Report number:

UCSBTH-90-12,
CERN-TH-5659/90

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Abstract: (WSP)

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.

field theory: Toda
field theory: affine
dimension: 2
mass spectrum
statistical mechanics
critical phenomena
algebra: Lie
algebra: representation
Feynman graph: tadpole

References(34)

Figures(0)

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