Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-02-25
Nucl.Phys.B426:534-558,1994; Erratum-ibid.B498:619-621,1997
Physics
High Energy Physics
High Energy Physics - Theory
28 pages. In this corrected version, more general solutions to the differential equations, which are required for correlators
Scientific paper
10.1016/0550-3213(94)90020-5
We demonstrate that for the sine-Gordon theory at the free fermion point, the 2-point correlation functions of the fields $\exp (i\al \Phi )$ for $0< \al < 1$ can be parameterized in terms of a solution to a sinh-Gordon-like equation. This result is derived by summing over intermediate multiparticle states and using the form factors to express this as a Fredholm determinant. The proof of the differential equations relies on a $\Zmath_2$ graded multiplication law satisfied by the integral operators of the Fredholm determinant. Using this methodology, we give a new proof of the differential equations which govern the spin and disorder field correlators in the Ising model.
Bernard Denis
LeClair Andre
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