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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
.