The renormalization group improved effective potential in massless models

dc.creatorBrandt, F. T.
dc.creatorChishtie, F. A.
dc.creatorMcKeon, D. G. C.
dc.date2004-07-20
dc.date2005-07-27
dc.date.accessioned2026-07-07T06:31:36Z
dc.date.available2026-07-07T06:31:36Z
dc.descriptionThe 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.description9 pages, considerably expanded form. To be published in Mod. Phys. Lett. A
dc.identifierhttps://arxiv.org/abs/hep-th/0407171
dc.identifierhttp://arxiv.org/abs/hep-th/0407171
dc.identifierMod.Phys.Lett. A20 (2005) 2215-2226
dc.identifierdoi:10.1142/S0217732305018438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98652
dc.subjectHigh Energy Physics - Theory
dc.titleThe renormalization group improved effective potential in massless models
dc.typetext

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