The journal of high energy physics, 2020-02, Vol.2020 (2), p.1-29, Article 137
2020
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Details
- Autor(en) / Beteiligte
- Titel
- Constructing SU(N) fractional instantons
- Ist Teil von
- The journal of high energy physics, 2020-02, Vol.2020 (2), p.1-29, Article 137
- Ort / Verlag
- Berlin/Heidelberg: Springer Berlin Heidelberg
- Erscheinungsjahr
- 2020
- Quelle
- Free E-Journal (出版社公開部分のみ）
- Beschreibungen/Notizen
- A bstract We study self-dual SU( N ) gauge field configurations on the 4 torus with twisted boundary conditions, known as fractional instantons. Focusing on the minimum non-zero action case, we generalize the constant field strength solutions discovered by ‘t Hooft and valid for certain geometries. For the general case, we construct the vector potential and field strength in a power series expansion in a deformation parameter of the metric. The next to leading term is explicitly computed. The methodology is an extension of that used by the author for SU(2) fractional instantons and for vortices in two-dimensional Abelian Higgs models. Obviously, these solutions can also be seen as self-dual configurations in ℝ 4 having a crystal structure, where each node of the crystal carries a topological charge of 1 /N .
- Sprache
- Englisch
- Identifikatoren
- ISSN: 1029-8479eISSN: 1029-8479DOI: 10.1007/JHEP02(2020)137Titel-ID: cdi_doaj_primary_oai_doaj_org_article_12159588c6784e6b860db30b6acf6a18
- Format
- –
- Schlagworte
- 1/N Expansion, Boundary conditions, Classical and Quantum Gravitation, Configurations, Crystal structure, Crystals, Current carriers, Elementary Particles, Field strength, High energy physics, Instantons, Nonperturbative Effects, Physics, Physics and Astronomy, Power series, Quantum Field Theories, Quantum Field Theory, Quantum Physics, Regular Article - Theoretical Physics, Relativity Theory, Series expansion, Solitons Monopoles and Instantons, String Theory, Toruses, Two dimensional models