Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction
Abstract We study classical string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 that correspond to elliptic solutions of the sine-Gordon equation. In this work, these solutions are systematically derived by inverting the Pohlmeyer reduction. A mapping of the physical properties of the string...
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SpringerOpen
2018-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6429-1 |
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doaj-524105ba0ce841be99fde807d6c23eea2020-11-25T02:26:18ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-11-01781112010.1140/epjc/s10052-018-6429-1Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reductionDimitrios Katsinis0Ioannis Mitsoulas1Georgios Pastras2Department of Physics, National and Kapodistrian University of AthensDepartment of Physics, School of Applied Mathematics and Physical Sciences, National Technical UniversityNCSR “Demokritos”, Institute of Nuclear and Particle PhysicsAbstract We study classical string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 that correspond to elliptic solutions of the sine-Gordon equation. In this work, these solutions are systematically derived by inverting the Pohlmeyer reduction. A mapping of the physical properties of the string solutions to those of their Pohlmeyer counterparts is established. An interesting element of this mapping is the association of the number of spikes of the string to the topological charge in the sine-Gordon theory. Finally, the adopted parametrization of the solutions facilitates the identification of a dense subset of the moduli space of solutions, where the dispersion relation can be expressed in a closed form, arbitrarily far from the infinite size limit.http://link.springer.com/article/10.1140/epjc/s10052-018-6429-1 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| spellingShingle |
Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction European Physical Journal C: Particles and Fields |
| author_facet |
Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| author_sort |
Dimitrios Katsinis |
| title |
Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction |
| title_short |
Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction |
| title_full |
Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction |
| title_fullStr |
Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction |
| title_full_unstemmed |
Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction |
| title_sort |
elliptic string solutions on $$\mathbb {r}\times \hbox {s}^2$$ r×s2 and their pohlmeyer reduction |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2018-11-01 |
| description |
Abstract We study classical string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 that correspond to elliptic solutions of the sine-Gordon equation. In this work, these solutions are systematically derived by inverting the Pohlmeyer reduction. A mapping of the physical properties of the string solutions to those of their Pohlmeyer counterparts is established. An interesting element of this mapping is the association of the number of spikes of the string to the topological charge in the sine-Gordon theory. Finally, the adopted parametrization of the solutions facilitates the identification of a dense subset of the moduli space of solutions, where the dispersion relation can be expressed in a closed form, arbitrarily far from the infinite size limit. |
| url |
http://link.springer.com/article/10.1140/epjc/s10052-018-6429-1 |
| work_keys_str_mv |
AT dimitrioskatsinis ellipticstringsolutionsonmathbbrtimeshboxs2rs2andtheirpohlmeyerreduction AT ioannismitsoulas ellipticstringsolutionsonmathbbrtimeshboxs2rs2andtheirpohlmeyerreduction AT georgiospastras ellipticstringsolutionsonmathbbrtimeshboxs2rs2andtheirpohlmeyerreduction |
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