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 |
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Rok vydání: | 2021 |
Předmět: |
High Energy Physics - Theory
Coupling constant Physics 010308 nuclear & particles physics FOS: Physical sciences Order (ring theory) Condensed Matter::Mesoscopic Systems and Quantum Hall Effect 01 natural sciences Convolution High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) 0103 physical sciences Coulomb Gauge theory Twist Abelian group 010306 general physics Mathematical physics Gauge fixing |
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 |
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