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TMF, 2006, Volume 146, Number 2, Pages 267–298 (Mi tmf2035)  

This article is cited in 3 scientific papers (total in 3 papers)

Instanton in the Field of a Pointlike Source of a Euclidean Non-Abelian Field

G. M. Zinovjeva, S. V. Molodtsovbc

a N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
c Joint Institute for Nuclear Research

Abstract: We consider the behavior of an (anti)instanton in the field of a pointlike source of a Euclidean non-Abelian field and investigate (anti)instanton deformations described by variations of its characteristic parameters. We formulate the variational problem of seeking the corresponding “crumpled” topological configurations and solve it algebraically using the Ritz method (of multipole decomposition of deformation fields). We investigate the domain of parameters specific for the instanton liquid model. We propose a simple method of taking contributions of such configurations in the functional integral into account approximately. In the framework of superposition analysis, we obtain an estimate for the mean energy of the source in the instanton liquid, and the estimate increases linearly with distance. In the case of a dipole in the color-singlet state, the energy is a linear function of the distance between the sources with thesources with the “strength” coefficient agreeing well with the known model and lattice estimates.

Keywords: instanton, external field, approximate solution, deformations

DOI: https://doi.org/10.4213/tmf2035

Full text: PDF file (369 kB)
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English version:
Theoretical and Mathematical Physics, 2006, 146:2, 221–247

Bibliographic databases:

Received: 25.03.2005
Revised: 04.06.2005

Citation: G. M. Zinovjev, S. V. Molodtsov, “Instanton in the Field of a Pointlike Source of a Euclidean Non-Abelian Field”, TMF, 146:2 (2006), 267–298; Theoret. and Math. Phys., 146:2 (2006), 221–247

Citation in format AMSBIB
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\paper Instanton in the Field of a~Pointlike Source of a~Euclidean Non-Abelian Field
\jour TMF
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\vol 146
\issue 2
\pages 267--298
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\jour Theoret. and Math. Phys.
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\vol 146
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\pages 221--247
\crossref{https://doi.org/10.1007/s11232-006-0020-x}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Zinovjev GM, Molodtsov SV, “Screening of a color field in an instanton liquid”, Physics of Atomic Nuclei, 70:6 (2007), 1136–1145  crossref  adsnasa  isi  scopus  scopus
    2. Zinovjev GM, Molodtsov SV, Siemiarczuk T, et al., “Sigma meson and phonon-like excitations of the instanton vacuum”, Physics of Atomic Nuclei, 71:2 (2008), 313–320  crossref  adsnasa  isi
    3. Molodtsov, SV, “Towards light scalar meson structure”, European Physical Journal C, 61:1 (2009), 61  crossref  mathscinet  adsnasa  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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