TIME DEPENDENT SOLITONS OF NONCOMMUTATIVE CHERN-SIMONS THEORY COUPLED TO SCALAR FIELDS
Result description
We study one- and two-soliton solutions of noncommutative Chern-Simons theory coupled to a nonrelativistic or a relativistic scalar field. In the nonrelativistic case, we find a tower of new stationary time-dependent solutions, all with the same charge density, but with increasing energies. The dynamics of these solitons cannot be studied using traditional moduli space techniques, but we do find a nontrivial symplectic form on the phase space indicating that the moduli space is not flat. In the relativistic case we find the metric on the two soliton moduli space.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
TIME DEPENDENT SOLITONS OF NONCOMMUTATIVE CHERN-SIMONS THEORY COUPLED TO SCALAR FIELDS
Original language description
We study one- and two-soliton solutions of noncommutative Chern-Simons theory coupled to a nonrelativistic or a relativistic scalar field. In the nonrelativistic case, we find a tower of new stationary time-dependent solutions, all with the same charge density, but with increasing energies. The dynamics of these solitons cannot be studied using traditional moduli space techniques, but we do find a nontrivial symplectic form on the phase space indicating that the moduli space is not flat. In the relativistic case we find the metric on the two soliton moduli space.
Czech name
Casove zavisle solitonicke reseni nekomutativni Chernova Simonsova teorie interagujici se se skalranych polich
Czech description
Studujeme jeden i dva solitonovy reseni nekomutativni Chernova Simonsova teorie iteragujici s nerelativisticky i nerelativisticky skalarni pole. V nerelativistickym pripade najdeme vez novych stationarnych casovych zavislych stavu, vsechny se stejnou hustotu naboje ale s zvysici se energie. Dynamika techto solitonu neni mozno studovat pomoci tradicni technologie molulich prostoru ovsem nejdeme netrivialny symplektickou formu na fazovym prostoru coz indikuje, ze moduli prostor neni plochy. V relativistickym pripade najdeme metriku na dve solitonovym modulovym prostoru.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BF - Elementary particle theory and high energy physics
OECD FORD branch
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Result continuities
Project
ME 649: Non-comutative theory of field and projective superspace.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
0556-2821
e-ISSN
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Volume of the periodical
2004
Issue of the periodical within the volume
69
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
20
Pages from-to
105020-105040
UT code for WoS article
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EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BF - Elementary particle theory and high energy physics
Year of implementation
2004