Four-loop screened perturbation theory
| dc.creator | Andersen, Jens O. | |
| dc.creator | Kyllingstad, Lars | |
| dc.date | 2008-05-29 | |
| dc.date | 2008-10-27 | |
| dc.date.accessioned | 2026-07-07T11:51:13Z | |
| dc.date.available | 2026-07-07T11:51:13Z | |
| dc.description | We study the thermodynamics of massless phi-fourth theory using screened perturbation theory. In this method, the perturbative expansion is reorganized by adding and subtracting a thermal mass term in the Lagrangian. We calculate the free energy through four loops expanding in a double power expansion in m/T and g^2, where m is the thermal mass and g is the coupling constant. The expansion is truncated at order g^7 and the loop expansion is shown to have better convergence properties than the weak-coupling expansion. The free energy at order g^6 involves the four-loop triangle sum-integral evaluated by Gynther, Laine, Schroeder, Torrero, and Vuorinen using methods developed by Arnold and Zhai. The evaluation of the free energy at order g^7 requires the evaluation of a nontrivial three-loop sum-integral, which we calculate by the same methods. | |
| dc.description | 34 pages, 6 figures, RevTeX | |
| dc.identifier | https://arxiv.org/abs/0805.4478 | |
| dc.identifier | http://arxiv.org/abs/0805.4478 | |
| dc.identifier | Phys.Rev.D78:076008,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.076008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203819 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Four-loop screened perturbation theory | |
| dc.type | text |