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Hydrostatic Pressure of the O(N) $ϕ^4$ Theory in the Large N Limit

P. Jizba
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Abstract

With non-equilibrium applications in mind we present in this paper a self-contained calculation of the hydrostatic pressure of the O(N)λϕ^4 theory at finite temperature. By combining the Keldysh-Schwinger closed-time path formalism with thermal Dyson-Schwinger equations we compute in the large N limit the hydrostatic pressure in a fully resumed form. We also calculate the high-temperature expansion for the pressure (in D=4) using the Mellin transform technique. The result obtained extends the results found by Drummond et al. [hep-ph/9708426] and Amelino-Camelia and Pi [hep-ph/9211211]. The latter are reproduced in the limits m_r(0)\to 0, T \to \infty and T \to \infty, respectively. Important issues of renormalizibility of composite operators at finite temperature are addressed and the improved energy-momentum tensor is constructed. The utility of the hydrostatic pressure in the non-equilibrium quantum systems is discussed.

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P. Jizba. 2003-12-03. Hydrostatic Pressure of the O(N) $ϕ^4$ Theory in the Large N Limit. https://doi.org/10.1103/physrevd.69.085011

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