Thermalization of an Interacting Quantum Field in the CTP-2PI Next-to-leading-order Large N Scheme

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dc.creatorCalzetta, E.
dc.creatorHu, B. L.
dc.date2002-05-23
dc.date.accessioned2026-07-07T03:47:08Z
dc.date.available2026-07-07T03:47:08Z
dc.descriptionIn this paper we use an O(N)-invariant scalar field of unbroken symmetry to investigate whether an interacting quantum field at the next-to-leading order Large $N$ approximation may show signs of thermalization. We develop the closed time-path (CTP) two-particle irreducible (2PI) effective action in powers of 1/N, retaining up to next to leading order (O(1)) terms, and write down the corresponding (truncated) Schwinger-Dyson equations for its two point function. We show that in this approximation, the only translation invariant solutions to the Schwinger - Dyson equations are thermal. This provides a useful temperature concept without invoking a heat bath. When combined with the familiar Kadanoff-Baym approach to quantum kinetic theory our result shows that at this order of approximation thermalization can occur, at least if initial conditions are smooth enough that a derivative expansion is valid. Our analytic result provides support for similar claims in recent literature based on numerical evidence.
dc.descriptionLatex 31 pages with 10 figures, uses graphicx
dc.identifierhttps://arxiv.org/abs/hep-ph/0205271
dc.identifierhttp://arxiv.org/abs/hep-ph/0205271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/41551
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThermalization of an Interacting Quantum Field in the CTP-2PI Next-to-leading-order Large N Scheme
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