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Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2004 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 06, 010- p.Article in journal (Refereed) Published
Abstract [en]

We consider the scalar operators corresponding to semiclassical string states in AdS5 × S5 with the three angular momenta in S5 non-trivial. The string states recieve quantum corrections and we study the corresponding process on the gauge theory side. The anomalous dimension of the scalar operators is computed using the Bethe ansatz and we find the correction that corresponds to the energy of the quantized string. We restrict for simplicity to the case where two of the angular momenta in S5 are equal.

Place, publisher, year, edition, pages
2004. no 06, 010- p.
National Category
Subatomic Physics
URN: urn:nbn:se:uu:diva-92026DOI: 10.1088/1126-6708/2004/06/010OAI: oai:DiVA.org:uu-92026DiVA: diva2:164962
Available from: 2004-09-06 Created: 2004-09-06 Last updated: 2012-02-08Bibliographically 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.
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 1002
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
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
Available from: 2004-09-06 Created: 2004-09-06Bibliographically approved

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Publisher's full texthttp://arxiv.org/abs/hep-th/0405167

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Freyhult, Lisa
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