2004/07/31 by F. T. Brandt, F. T. BRANDT, F. A. Chishtie +3 · 1 citation
Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.1142/s0217732305018438
published as Mod.Phys.Lett. A20 (2005) 2215-2226 · 9 pages, considerably expanded form. To be published in Mod. Phys. Lett. A
arxiv created 2005/07/27 · openalex publication_date 2005/09/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The effective potential V is considered in massless [Formula: see text] 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 ln ϕ alone. By applying the renormalization group (RG) equation to V, these expansions can be summed. Using the condition V′(v)=0 (where v is the vacuum expectation value of ϕ) in conjunction with the expansion of V in powers of ln ϕ fixes V provided v≠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.