87 research outputs found
Exact expectation values of local fields in quantum sine-Gordon model
We propose an explicit expression for vacuum expectation values of the
exponential fields in the sine-Gordon model. Our expression agrees both with
semi-classical results in the sine-Gordon theory and with perturbative
calculations in the Massive Thirring model. We use this expression to make new
predictions about the large-distance asymptotic form of the two-point
correlation function in the XXZ spin chain.Comment: 18 pages, harvmac.tex, 2 figure
Expectation values of boundary fields in the boundary sine-Gordon model
We propose an explicit expression for vacuum expectation values of the
boundary field e^{ia\phi_{B}} in the boundary sine-Gordon model with zero bulk
mass. This expression agrees with known exact results for the boundary free
energy and with perturbative calculations.Comment: 7 pages, harvmac.te
Expectation values of local fields in Bullough-Dodd model and integrable perturbed conformal field theories
Exact expectation values of the fields e^{a\phi} in the Bullough-Dodd model
are derived by adopting the ``reflection relations'' which involve the
reflection S-matrix of the Liouville theory, as well as special analyticity
assumption. Using this result we propose explicit expressions for expectation
values of all primary operators in the c<1 minimal CFT perturbed by the
operator \Phi_{1,2} or Phi_{2,1}. Some results concerning the
perturbed minimal models are also presented.Comment: 27 pages, harvmac.tex, one epsf figur
Classical Conformal Blocks and Painleve VI
We study the classical c\to \infty limit of the Virasoro conformal blocks. We
point out that the classical limit of the simplest nontrivial null-vector
decoupling equation on a sphere leads to the Painleve VI equation. This gives
the explicit representation of generic four-point classical conformal block in
terms of the regularized action evaluated on certain solution of the Painleve
VI equation. As a simple consequence, the monodromy problem of the Heun
equation is related to the connection problem for the Painleve VI.Comment: 19 pages, 5 figures; references adde
Integrable Quantum Field Theories in Finite Volume: Excited State Energies
We develop a method of computing the excited state energies in Integrable
Quantum Field Theories (IQFT) in finite geometry, with spatial coordinate
compactified on a circle of circumference R. The IQFT ``commuting
transfer-matrices'' introduced by us (BLZ) for Conformal Field Theories (CFT)
are generalized to non-conformal IQFT obtained by perturbing CFT with the
operator . We study the models in which the fusion relations for
these ``transfer-matrices'' truncate and provide closed integral equations
which generalize the equations of Thermodynamic Bethe Ansatz to excited states.
The explicit calculations are done for the first excited state in the ``Scaling
Lee-Yang Model''.Comment: 54 pages, harvmac, epsf, TeX file and postscript figures packed in a
single selfextracting uufile. Compiles only in the `Big' mode with harvma
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