uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Chirality and fermion number in a knotted soliton background
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.
2003 (English)In: Physics Letters B, ISSN 0370-2693, Vol. 557, no 1-2, 121-124 p.Article in journal (Refereed) Published
Abstract [en]

We consider the coupling of a single Dirac fermion to the three component unit vector field which appears as an order parameter in the Faddeev model. Classically, the coupling is determined by requiring that it preserves a certain local frame independence. But quantum mechanically the separate left- and right-chiral fermion number currents suffer from a frame anomaly. We employ this anomaly to compute the fermion number of a knotted soliton. The result coincides with the self-linking number of the soliton. In particular, the anomaly structure of the fermions relates directly to the inherent chiral properties of the soliton. Our result suggests that interactions between fermions and knotted solitons can lead to phenomena akin the Callan–Rubakov effect.

Place, publisher, year, edition, pages
2003. Vol. 557, no 1-2, 121-124 p.
National Category
Subatomic Physics
URN: urn:nbn:se:uu:diva-92024DOI: 10.1016/S0370-2693(03)00200-4OAI: oai:DiVA.org:uu-92024DiVA: diva2:164960
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

Open Access in DiVA

No full text

Other links

Publisher's full texthttp://arxiv.org/abs/hep-th/0212053

Search in DiVA

By author/editor
Freyhult, LisaNiemi, Antti J.
By organisation
Department of Theoretical Physics
In the same journal
Physics Letters B
Subatomic Physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 189 hits
ReferencesLink to record
Permanent link

Direct link