Details
| Original language | English |
|---|---|
| Journal | Proceedings of Science |
| Publication status | Published - 2011 |
| Event | Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2011 - Corfu, Greece Duration: 4 Sept 2011 → 18 Sept 2011 |
Abstract
The moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP1 sigma model in 1+2 dimensions is analyzed. After recalling the commutative results of Ward and Ruback and the ζ-regularized construction of the noncommutative Kahler potential due to the second author, explicit expressions and asymptotics for it are presented and discussed in different regions of the moduli space. Along two curves in the moduli space the potential can be calculated analytically. In the region of solitons known as "ring-like", perturbation theory is used. In the region of "lump-like" solitons, both perturbation theory and the ζ-function approach are employed. While the strong noncommutativity limit is smooth and under control, the commutative limit in the two-lump region remains a semiclassical challenge.
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In: Proceedings of Science, 2011.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Noncommutative deformation of the Ward metric
AU - Goffeng, Magnus
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - The moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP1 sigma model in 1+2 dimensions is analyzed. After recalling the commutative results of Ward and Ruback and the ζ-regularized construction of the noncommutative Kahler potential due to the second author, explicit expressions and asymptotics for it are presented and discussed in different regions of the moduli space. Along two curves in the moduli space the potential can be calculated analytically. In the region of solitons known as "ring-like", perturbation theory is used. In the region of "lump-like" solitons, both perturbation theory and the ζ-function approach are employed. While the strong noncommutativity limit is smooth and under control, the commutative limit in the two-lump region remains a semiclassical challenge.
AB - The moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP1 sigma model in 1+2 dimensions is analyzed. After recalling the commutative results of Ward and Ruback and the ζ-regularized construction of the noncommutative Kahler potential due to the second author, explicit expressions and asymptotics for it are presented and discussed in different regions of the moduli space. Along two curves in the moduli space the potential can be calculated analytically. In the region of solitons known as "ring-like", perturbation theory is used. In the region of "lump-like" solitons, both perturbation theory and the ζ-function approach are employed. While the strong noncommutativity limit is smooth and under control, the commutative limit in the two-lump region remains a semiclassical challenge.
UR - http://www.scopus.com/inward/record.url?scp=84883538092&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:84883538092
JO - Proceedings of Science
JF - Proceedings of Science
T2 - Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2011
Y2 - 4 September 2011 through 18 September 2011
ER -