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This article is cited in 1 scientific paper (total in 1 paper)
Extended Soliton Solutions in an Effective Action for $\mathrm{SU}(2)$ Yang–Mills Theory
Nobuyuki Sawado, Noriko Shiiki, Shingo Tanaka Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan
Abstract:
The Skyrme–Faddeev–Niemi (SFN) model which is an $O(3)$ $\sigma$ model in three dimensional space up to fourth-order in the first derivative is regarded as a low-energy effective theory of $SU(2)$ Yang–Mills theory. One can show from the Wilsonian renormalization group argument that the effective action of Yang–Mills theory recovers the SFN in the infrared region. However, the theory contains an additional fourth-order term which destabilizes the soliton solution. We apply the perturbative treatment to the second derivative term in order to
exclude (or reduce) the ill behavior of the original action and show that the SFN model with the second derivative term possesses soliton solutions.
Keywords:
topological soliton; Yang–Mills theory; second derivative field theory.
Received: October 25, 2005; in final form January 25, 2006; Published online January 31, 2006
Citation:
Nobuyuki Sawado, Noriko Shiiki, Shingo Tanaka, “Extended Soliton Solutions in an Effective Action for $\mathrm{SU}(2)$ Yang–Mills Theory”, SIGMA, 2 (2006), 016, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma44 https://www.mathnet.ru/eng/sigma/v2/p16
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Abstract page: | 334 | Full-text PDF : | 41 | References: | 36 |
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