Study of relativistic bound states for scalar theories in the Bethe-Salpeter and Dyson-Schwinger formalism.
Result description
The Bethe-Salpeter equation for Wick-Cutkosky-like models is solved in the dressed ladder approximation. The bare vertex truncation of the Dyson-Schwinger equations for propagators is combined with the dressed ladder Bethe-Salpeter equation for the scalar S-wave bound state amplitudes. With the help of the spectral representation the results are obtained directly in Minkowski space. We give a new analytic formula for the resulting equation simplifying the numerical treatment. The bare ladder approximation of the Bethe-Salpeter equation is compared with the one with dressed ladder. The elastic electromagnetic form factors are calculated within the relativistic impulse approximation.
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
Study of relativistic bound states for scalar theories in the Bethe-Salpeter and Dyson-Schwinger formalism.
Original language description
The Bethe-Salpeter equation for Wick-Cutkosky-like models is solved in the dressed ladder approximation. The bare vertex truncation of the Dyson-Schwinger equations for propagators is combined with the dressed ladder Bethe-Salpeter equation for the scalar S-wave bound state amplitudes. With the help of the spectral representation the results are obtained directly in Minkowski space. We give a new analytic formula for the resulting equation simplifying the numerical treatment. The bare ladder approximation of the Bethe-Salpeter equation is compared with the one with dressed ladder. The elastic electromagnetic form factors are calculated within the relativistic impulse approximation.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BG - Nuclear, atomic and molecular physics, accelerators
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2003
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
67
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
1
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BG - Nuclear, atomic and molecular physics, accelerators
Year of implementation
2003