The renormalization group improved effective potential in massless models
| dc.creator | Brandt, F. T. | |
| dc.creator | Chishtie, F. A. | |
| dc.creator | McKeon, D. G. C. | |
| dc.date | 2004-07-20 | |
| dc.date | 2005-07-27 | |
| dc.date.accessioned | 2026-07-07T06:31:36Z | |
| dc.date.available | 2026-07-07T06:31:36Z | |
| dc.description | The effective potential $V$ is considered in massless $λϕ^4_4$ theory. The expansion of $V$ in powers of the coupling $λ$ and of the logarithm of the background field $ϕ$ is reorganized in two ways; first as a series in $λ$ alone, then as a series in $\lnϕ$ alone. By applying the renormalization group (RG) equation to $V$, these expansions can be summed. Using the condition $V^\prime(v) = 0$ (where $v$ is the vacuum expectation value of $ϕ$) in conjunction with the expansion of $V$ in powers of $\lnϕ$ fixes $V$ provided $v\neq 0$. In this case, the dependence of $V$ on $ϕ$ drops out and $V$ is not analytic in $λ$. Massless scalar electrodynamics is considered using the same approach. | |
| dc.description | 9 pages, considerably expanded form. To be published in Mod. Phys. Lett. A | |
| dc.identifier | https://arxiv.org/abs/hep-th/0407171 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0407171 | |
| dc.identifier | Mod.Phys.Lett. A20 (2005) 2215-2226 | |
| dc.identifier | doi:10.1142/S0217732305018438 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98652 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The renormalization group improved effective potential in massless models | |
| dc.type | text |