Hydrostatic pressure of the O(N) φ^{4} theory in the large N limit
Abstract
With nonequilibrium applications in mind we present in this paper (the first in a series of three) a selfcontained calculation of the hydrostatic pressure of the O(N) λφ^{4} theory at finite temperature. By combining the KeldyshSchwinger closedtime path formalism with thermal DysonSchwinger equations we compute in the large N limit the hydrostatic pressure in a fully resumed form. We also calculate the hightemperature expansion for the pressure (in D=4) using the Mellin transform technique. The result obtained extends the results found by Drummond et al. [Nucl. Phys. B524, 579 (1998)] and AmelinoCamelia and Pi [Phys. Rev. D 47, 2356 (1993)]. The latter are reproduced in the limits m_{r}(0)→0, T→∞, and T→∞, respectively. Important issues of renormalizibility of composite operators at finite temperature are addressed and the improved energymomentum tensor is constructed. The utility of the hydrostatic pressure in the nonequilibrium quantum systems is discussed.
 Publication:

Physical Review D
 Pub Date:
 April 2004
 DOI:
 10.1103/PhysRevD.69.085011
 arXiv:
 arXiv:hepth/9801197
 Bibcode:
 2004PhRvD..69h5011J
 Keywords:

 11.10.Wx;
 11.10.Gh;
 11.15.Pg;
 Finitetemperature field theory;
 Renormalization;
 Expansions for large numbers of components;
 High Energy Physics  Theory
 EPrint:
 40 papes, 13 figures, LaTeX, thoroughly revised, accepted to Phys. Rev. D