Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2021)024
Keywords
Bosonic Strings; Integrable Field Theories; Long strings
Categories
Funding
- European Union (European Social Fund-ESF) through the Operational Programme Human Resources Development, Education and Lifelong Learning [MIS-5000432]
- Hellenic Foundation for Research and Innovation (HFRI) [2595]
- General Secretariat for Research and Technology (GSRT) [2595]
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The dressing method is applied to the Non Linear Sigma Model to obtain a formal solution of the auxiliary system without solving any differential equations. The dressed solution is expressed as a non-linear superposition of the seed with solutions of the NLSM with the same Pohlmeyer counterpart as the seed.
We apply the dressing method on the Non Linear Sigma Model (NLSM), which describes the propagation of strings on x S-2, for an arbitrary seed. We obtain a formal solution of the corresponding auxiliary system, which is expressed in terms of the solutions of the NLSM that have the same Pohlmeyer counterpart as the seed. Accordingly, we show that the dressing method can be applied without solving any differential equations. In this context a superposition principle emerges: the dressed solution is expressed as a non-linear superposition of the seed with solutions of the NLSM with the same Pohlmeyer counterpart as the seed.
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