2017/07/31 by M. Ghasemkhani, Amir Abbass Varshovi, A. A. Varshovi +1
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Star (game theory) #hep-th
paper · pdf · doi:10.1103/physrevd.97.065005
published as Phys. Rev. D 97, 065005 (2018) · 30 pages, published version
openalex created_date 2017/08/08 · arxiv created 2018/03/07 · openalex publication_date 2018/03/07 · arxiv updated 2018/03/08 · openalex updated_date 2026/08/05
In this paper, we discuss the noncommutative QED2 in the S-matrix framework. We are interested in perturbatively proving that the exact Schwinger mass \ensuremathμ2=\frace2\ensuremathπ does not receive noncommutative corrections to any order in loop expansion. In this sense, the S-matrix approach is useful since it allows us to work with the effective action \mathrm\ensuremathΓ[A] (interaction term) to compute the corresponding gauge field 1PI two-point function at higher orders. Furthermore, by means of \ensuremathα*-cohomology, we generalize the QED2 S-matrix analysis in the Moyal star product to all translation-invariant star products.