Differential equations and duality in massless integrable field theories at zero temperature

Details Differential equations and duality in massless integrable field theories at zero temperature Differential equations and duality in massless integrable field theories at zero temperature

1999-04-12

arxiv.org/abs/solv-int/9904012v1

Nucl.Phys.B574:571-586,2000

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac

Scientific paper

10.1016/S0550-3213(99)00832-9

Functional relations play a key role in the study of integrable models. We argue in this paper that for massless field theories at zero temperature, these relations can in fact be interpreted as monodromy relations. Combined with a recently discovered duality, this gives a way to bypass the Bethe ansatz, and compute directly physical quantities as solutions of a linear differential equation, or as integrals over a hyperelliptic curve. We illustrate these ideas in details in the case of the $c=1$ theory, and the associated boundary sine-Gordon model.

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