2005/09/30 by O. D. Azorkina, O.D. Azorkina, A. T. Banin +3 · 4 citations
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Background field method #Black Holes and Theoretical Physics #Covariant transformation #Effective action #Gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Multiplet #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Spectral line #Superfield #Superspace #Supersymmetric gauge theory #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.physletb.2005.12.009
published as Phys.Lett.B633:389-396,2006 · 14 pages, LaTeX
arxiv created 2005/12/05 · openalex publication_date 2005/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop a general gauge invariant construction of the one-loop effective action for supersymmetric gauge field theories formulated in N=1/2 superspace. Using manifestly covariant techniques (the background superfield method and proper-time representations) adopted to the N=1/2 superspace we show how to define unambiguously the effective action of a matter multiplet (in fundamental and adjoint representations) and the vector multiplet coupled to a background N=1/2 gauge superfield. As an application of this construction we exactly calculate the low-energy one-loop effective action of matter multiplet and SU(2) SYM theory on the Abelian background.