SwePub
Sök i LIBRIS databas

  Extended search

id:"swepub:oai:research.chalmers.se:0dcde9b8-d74b-4dc6-9ba5-f345ebb11d69"
 

Search: id:"swepub:oai:research.chalmers.se:0dcde9b8-d74b-4dc6-9ba5-f345ebb11d69" > Kähler quantization...

  • 1 of 1
  • Previous record
  • Next record
  •    To hitlist

Kähler quantization of vortex moduli

Eriksson, Dennis, 1981 (author)
Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
Romão, Nuno M. (author)
Universität Augsburg,University of Augsburg
 (creator_code:org_t)
2019-11-25
2020
English.
In: Letters in Mathematical Physics. - : Springer Science and Business Media LLC. - 0377-9017 .- 1573-0530. ; 110:4, s. 659-693
  • Journal article (peer-reviewed)
Abstract Subject headings
Close  
  • We discuss the Kähler quantization of moduli spaces of vortices in line bundles over compact surfaces Σ. This furnishes a semiclassical framework for the study of quantum vortex dynamics in the Schrödinger–Chern–Simons model. We employ Deligne’s approach to Quillen’s metric in determinants of cohomology to construct all the quantum Hilbert spaces in this context. An alternative description of the quantum wavesections, in terms of multiparticle states of spinors on Σ itself (valued in a prequantization of a multiple of its area form), is also obtained. This viewpoint sheds light on the nature of the quantum solitonic particles that emerge from the gauge theory. We find that in some cases (where the area of Σ is small enough in relation to its genus) the dimensions of the quantum Hilbert spaces may be sensitive to the input data required by the quantization scheme, and also address the issue of relating different choices of such data geometrically.

Subject headings

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)
NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)
NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)
NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

Keyword

Spin-statistics theorem
Vortex equations
Quillen metrics
Geometric quantization
Moduli spaces

Publication and Content Type

art (subject category)
ref (subject category)

Find in a library

To the university's database

  • 1 of 1
  • Previous record
  • Next record
  •    To hitlist

Search outside SwePub

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.

 
pil uppåt Close

Copy and save the link in order to return to this view