1 J ul 1 99 9 Exact Results for Thermodynamics of the Classical Field
نویسنده
چکیده
Using the recently obtained exact results for the expectation values of operators in the sineand sinh-Gordon models [A. B. Zamolodchikov and S. Lukyanov, Nucl. Phys. B493, 571 (1997), V. Fateev, S. Lukyanov, A. B. Zamolodchikov and Al. B. Zamolodchikov, Phys. Lett. B406, 83 (1997)] we calculate the specific heat of the corresponding two dimensional Euclidean (classical) models. We show that the temperature dependence of the specific heat of the sine-Gordon model, in the commensurate phase, has a maximum well below the Kosterlitz-Thouless transition and that the sinh-Gordon model is thermodynamically unstable in the strong coupling regime. We give also the temperature dependence of the specific heat in the incommensurate phase of the sine-Gordon model. PACS numbers: 65.40.-f, 65.50.+m
منابع مشابه
X iv : h ep - p h / 95 07 25 4 v 1 7 J ul 1 99 5 EXACT EQUATIONS FOR VACUUM CORRELATORS IN FIELD THEORY
Stochastic quantization is used to derive exact equations, connecting multilocal field correlators in the ϕ 3 theory and gluodynamics. Perturbative expansion of the obtained equations in the lowest orders is presented.
متن کامل/ 99 07 00 8 v 1 2 J ul 1 99 9 1 / 4 - BPS states on noncommutative tori
We give an explicit expression for classical 1/4-BPS fields in supersymmetric Yang-Mills theory on noncommutative tori. We use it to study quantum 1/4-BPS states. In particular we calculate the degeneracy of 1/4-BPS energy levels.
متن کاملar X iv : g r - qc / 9 90 70 11 v 1 5 J ul 1 99 9 Entropies of the general non - extreme stationary axisymmetric black hole : statistical mechanics and thermodynamics ∗
Starting from metric of the general non-extreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the " brick wall " model in which the Dirichlet condition is replaced by a scattering ansatz for the field functions at the horizon and with Pauli-Villars regularization scheme, an expression f...
متن کاملar X iv : g r - qc / 9 60 70 16 v 1 5 J ul 1 99 6 Exact Solution for Relativistic Two - Body Motion in Dilaton Gravity
We present an exact solution to the problem of the relativistic motion of 2 point masses in (1 + 1) dimensional dilaton gravity. The motion of the bodies is governed entirely by their mutual gravitational influence, and the spacetime metric is likewise fully determined by their stress-energy. A Newtonian limit exists, and there is a static gravitational potential. Our solution gives the exact H...
متن کاملar X iv : h ep - l at / 9 70 60 06 v 2 8 J ul 1 99 7 1 BI - TP 97 / 19 June 1997 On QCD Thermodynamics with Improved Actions ∗
We discuss recent advances in the calculation of thermodynamic observables using improved actions. In particular, we discuss the calculation of the equation of state of the SU (3) gauge theory, the critical temperature in units of the string tension, the surface tension and the latent heat at the deconfinement transition. We also present first results from a calculation of the equation of state...
متن کامل