Static force potential of a non-Abelian gauge theory in a finite box in Coulomb gauge

Autor: Satoshi Kambayashi, Keiichi Ishibashi, Hiroshi Itoyama, Tomohiro Furukawa
Rok vydání: 2021
Předmět:
Zdroj: Physical Review
ISSN: 2470-0029
2470-0010
DOI: 10.1103/physrevd.103.056003
Popis: Force potential exerting between two classical static sources of pure non-abelian gauge theory in the Coulomb gauge is reconsidered at a periodic/twisted box of size $L^3$. Its perturbative behavior is examined by the short-distance expansion as well as by the derivative expansion. The latter expansion to one-loop order confirms the well-known change in the effective coupling constant at the Coulomb part as well as the Uehling potential while the former is given by the convolution of two Coulomb Green functions being non-singular at $\bm{x}=\bm{y}$. The effect of the twist comes in through its Green function of the sector.
18 pages, minor changes made and section 5 added
Databáze: OpenAIRE