1999/07/13 by C. Becchi, Carlo Becchi, R. Collina +1 · 44 citations
Mathematics · Physics and Astronomy · #BRST quantization #Background field method #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Introduction to gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Supersymmetric gauge theory #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00555-6
published in Nuclear Physics B 562(1-2), 412-430 (Elsevier BV) · 21 pages, Latex 2e
arxiv created 1999/07/13 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The aim of this paper is to give a firm and clear proof of the existence in the background field framework of a gauge invariant effective action for any gauge theory (\it background gauge equivalence). Here by effective action we mean a functional whose Legendre transform restricted to the physical shell generates the matrix elements of the connected S-matrix. We resume and clarify a former argument due to Abbott, Grisaru and Schaefer based on the gauge-artifact nature of the background fields and on the identification of the gauge invariant effective action with the generator of the proper, background field, vertices.