Hydrostatic pressure of the O(N) φ4 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 self-contained calculation of the hydrostatic pressure of the O(N) λφ4 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. [Nucl. Phys. B524, 579 (1998)] and Amelino-Camelia and Pi [Phys. Rev. D 47, 2356 (1993)]. The latter are reproduced in the limits mr(0)→0, T→∞, and T→∞, 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 nonequilibrium quantum systems is discussed.
- Publication:
-
Physical Review D
- Pub Date:
- April 2004
- DOI:
- 10.1103/PhysRevD.69.085011
- arXiv:
- arXiv:hep-th/9801197
- Bibcode:
- 2004PhRvD..69h5011J
- Keywords:
-
- 11.10.Wx;
- 11.10.Gh;
- 11.15.Pg;
- Finite-temperature field theory;
- Renormalization;
- Expansions for large numbers of components;
- High Energy Physics - Theory
- E-Print:
- 40 papes, 13 figures, LaTeX, thoroughly revised, accepted to Phys. Rev. D