2015/07/31 by Naser Ahmadiniaz, Olindo Corradini, Daniela D'Ascanio +4 · 1 citation
Mathematics · Physics and Astronomy · #Background field method #Black Holes and Theoretical Physics #Computer science #Effective action #Feynman diagram #Gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Particle physics theoretical and experimental studies #Path integral formulation #Phase space #Physics #Planar #Propagator #Quantum #Quantum field theory #Quantum mechanics #Renormalization #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep11(2015)069
published as JHEP 1511 (2015) 069 · 27+1 pages. Minor corrections; matches published version
openalex publication_date 2015/11/01 · arxiv created 2015/11/24 · arxiv updated 2015/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study pure noncommutative U(1) gauge theory representing its one-loop effective action in terms of a phase space worldline path integral. We write the quadratic action using the background field method to keep explicit gauge invariance, and then employ the worldline formalism to write the one-loop effective action, singling out UV-divergent parts and finite (planar and non-planar) parts, and study renormalization properties of the theory. This amounts to employ worldline Feynman rules for the phase space path integral, that nicely incorporate the Fadeev-Popov ghost contribution and efficiently separate planar and non-planar contributions. We also show that the effective action calculation is independent of the choice of the worldline Green’s function, that corresponds to a particular way of factoring out a particle zero-mode. This allows to employ homogeneous string-inspired Feynman rules that greatly simplify the computation.