The 4PI Effective Action for ϕ^4 Theory
| dc.creator | Carrington, M. E. | |
| dc.date | 2004-01-16 | |
| dc.date.accessioned | 2026-07-07T03:51:49Z | |
| dc.date.available | 2026-07-07T03:51:49Z | |
| dc.description | We work with $ϕ^4$ theory and study the 4PI effective action at 3-loop order. We discuss the relationship between the equations of motion obtained by taking functional derivatives of the effective action with respect to the variational parameters, and the Schwinger-Dyson (SD) equations. We show that the equation obtained by differentiating with respect to the 2-point function is identical to the SD equation for the 2-point function; differentiating with respect to the 3-point function reproduces the SD equation for the 3-point function, up to 1-loop order; and differentiating with respect to the 4-point function reproduces the SD equation for the 4-point function, at the tree level. These results establish a connection between two techniques for performing non-equilibrium calculations, and provide a starting place for a study of the gauge dependence of quantities derived from an $n$PI effective action. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0401123 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0401123 | |
| dc.identifier | Eur.Phys.J. C35 (2004) 383-392 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/43241 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The 4PI Effective Action for ϕ^4 Theory | |
| dc.type | text |