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

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Invariant Star Products on S 2 and the Canonical Trace
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Radiation Sciences.
2004 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 70, no 2, 109-120 p.Article in journal (Refereed) Published
Abstract [en]

We calculate the canonical trace and use the Fedosov–Nest–Tsygan index theorem to obtain the characteristic class for a star product on S 2. We show how, for this simple example, it is possible to extract the relevant information needed to use the Fedosov–Nest–Tsygan index theorem from a local calculation.

Place, publisher, year, edition, pages
2004. Vol. 70, no 2, 109-120 p.
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-92416DOI: 10.1007/s11005-004-4290-7OAI: oai:DiVA.org:uu-92416DiVA: diva2:165481
Available from: 2004-11-22 Created: 2004-11-22 Last updated: 2013-07-10Bibliographically approved
In thesis
1. Shout at the eta
Open this publication in new window or tab >>Shout at the eta
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Quantum chromodynamics has interesting limits both in the low and the high-energy region. In the low energy region one has phenomenology of meson interactions which are still not clearly understood. In the high-energy region one wants to find a new theory which will envelope gravity and the standard model in the quantum framework, possibly via some kind of string theory.

In this thesis some aspects are touched upon including both these limits. On the one hand we look at meson scattering close to threshold and try to describe cross sections via phenomenological models such as the two-step model. We then go on and dwell upon noncommutative geometry, a framework which has been successful in describing certain aspects of the theory of strings.

The low-energy calculations gave some insight into the need for finding better understanding of the theories of mesons. The work on noncommutative geometry was on the other hand fruitful in gaining understanding of certain connections between different star products and their relations on a local level.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2004. 48 p.
Series
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 1044
Keyword
Nuclear physics, Theoretical physics, Meson production, Noncommutative geometry, Kärnfysik
National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-4682 (URN)91-554-6103-4 (ISBN)
Public defence
2004-12-16, Häggsalen, Ångström laboratory, Lägerhyddsvägen 1, Polacksbacken, Uppsala, 10:15
Opponent
Supervisors
Available from: 2004-11-22 Created: 2004-11-22Bibliographically approved
2. Strings, Conformal Field Theory and Noncommutative Geometry
Open this publication in new window or tab >>Strings, Conformal Field Theory and Noncommutative Geometry
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis describes some aspects of noncommutative geometry and conformal field theory. The motivation for the investigations made comes to a large extent from string theory. This theory is today considered to be the most promising way to find a solution to the problem of unifying the four fundamental interactions in one single theory. The thesis gives a short background presentation of string theory and points out how noncommutative geometry and conformal field theory are of relevance within the string theoretical framework. There is also given some further information on noncommutative geometry and conformal field theory. The results from the three papers on which the thesis is based are presented in the text. It is shown in Paper 1 that, for a gauge theory in a flat noncommutative background only the gauge groups U(N) can be used in a straightforward way. These theories can arise as low energy limits of string theory. Paper 2 concerns boundary conformal field theory, which can be used to describe open strings in various backgrounds. Here different orbifold theories which are described using simple currents of the chiral algebra are investigated. The formalism is applied to ``branes´´ in Z2 orbifolds of the SU(2) WZW-model and to the D-series of unitary minimal models. In Paper 3 two different descriptions of an invariant star-product on are compared and the characteristic class that classifies the star-product is calculated. The Fedosov-Nest-Tsygan index theorem is used to compute the characteristic class.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2004. 54 p.
Series
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 1004
Keyword
Theoretical physics, Theoretical physics, String theory, Conformal field theory, Noncommutative geometry, Star-products, Teoretisk fysik
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-4508 (URN)91-554-6019-4 (ISBN)
Public defence
2004-10-02, Polhemssalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 09:15
Opponent
Supervisors
Available from: 2004-09-09 Created: 2004-09-09 Last updated: 2013-07-10Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Matsubara, Keizo

Search in DiVA

By author/editor
Matsubara, Keizo
By organisation
Department of Theoretical PhysicsDepartment of Radiation Sciences
In the same journal
Letters in Mathematical Physics
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 503 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf