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Shafranov's virial theorem and magnetic plasma confinement
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2002 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 35, no 11, L133-L139 p.Article in journal, Letter (Refereed) Published
Abstract [en]

Shafranov's virial theorem implies that nontrivial magnetohydrodynamical equilibrium configurations must be supported by externally supplied currents. Here we extend the virial theorem to field theory, where it relates to Derrick's scaling argument on soliton stability. We then employ virial arguments to investigate a realistic field theory model of a two-component plasma, and conclude that stable localized solitons can exist in the bulk of a finite density plasma. These solitons entail a nontrivial electric field, which implies that purely magnetohydrodynamical arguments are insufficient for describing stable, nontrivial structures within the bulk of a plasma.

Place, publisher, year, edition, pages
2002. Vol. 35, no 11, L133-L139 p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-92022DOI: 10.1088/0305-4470/35/11/101OAI: oai:DiVA.org:uu-92022DiVA: diva2:164958
Available from: 2004-09-06 Created: 2004-09-06 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Aspects of Yang-Mills Theory: Solitons, Dualities and Spin Chains
Open this publication in new window or tab >>Aspects of Yang-Mills Theory: Solitons, Dualities and Spin Chains
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

One of the still big problems in the Standard Model of particle physics is the problem of confinement. Quarks or other coloured particles have never been observed in isolation. Quarks are only observed in colour neutral bound states. The strong interactions are described using a Yang-Mills theory. These type of theories exhibits asymptotic freedom, i.e. the coupling is weak at high energies. This means that the theory is perturbative at high energies only. Understanding quark confinement requires knowledge of the non perturbative regime. One attempt has been to identify the proper order parameters for describing the low energy limit and then to write down effective actions in terms of these order parameters. We discuss one possible scenario for confinement and the effective models constructed with this as inspiration. Further we discuss solitons in these models and their properties.

Yang-Mills theory has also become important in the context of string theory. According to the AdS/CFT correspondence string theory in AdS5×S5 is dual to four dimensional Yang-Mills with four supersymmetries. The duality relate the non perturbative regime of one of the theories to the perturbative regime of the other. This makes it in general hard to test this conjecture. For a special type of solutions it is however possible to use a perturbative expansion in both theories. We discuss this type of solutions and in particular we discuss a method, the Bethe ansatz, to find the solutions on the gauge theory side.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2004. 87 p.
Series
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 1002
Keyword
Theoretical physics, Theoretical Physics, Field theory, String theory, Yang-Mills, Effective models, Supersymmetry, Solitons, Fermion number, Duality, AdS/CFT correspondence, Bethe ansatz, Teoretisk fysik
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-4498 (URN)91-554-6017-8 (ISBN)
Public defence
2004-09-28, Å4001, Ångström laboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15
Opponent
Supervisors
Available from: 2004-09-06 Created: 2004-09-06Bibliographically approved

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Publisher's full texthttp://arxiv.org/abs/physics/0009061

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Freyhult, LisaNiemi, Antti J.

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