Publikation: Nonminimal isotropic cosmological model with Yang-Mills and Higgs fields
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We establish a nonminimal Einstein–Yang–Mills–Higgs model, which contains six coupling parameters. The first three parameters relate to the nonminimal coupling of a non-Abelian gauge field and a gravity field, the next two parameters describe the so-called derivative nonminimal coupling of a scalar multiplet with a gravity field, and the sixth parameter introduces the standard coupling of a scalar field with a Ricci scalar. The formulated six-parameter nonminimal Einstein–Yang–Mills–Higgs model is applied to cosmology. We show that there exists a unique exact cosmological solution of the de Sitter type for a special choice of the coupling parameters. The nonminimally extended Yang–Mills and Higgs equations are satisfied for arbitrary gauge and scalar fields, when the coupling parameters are specifically related to the curvature constant of the isotropic space–time. Based on this special exact solution, we discuss the problem of a hidden anisotropy of the Yang–Mills field, and give an explicit example, when the nonminimal coupling effectively screens the anisotropy induced by the Yang–Mills field and thus restores the isotropy of the model.
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BALAKIN, Alexander B., Heinz DEHNEN, Alexei E. ZAYATS, 2008. Nonminimal isotropic cosmological model with Yang-Mills and Higgs fields. In: International Journal of Modern Physics D. World Scientific Publishing. 2008, 17(8), pp. 1255-1269. ISSN 0218-2718. eISSN 1793-6594. Available under: doi: 10.1142/S0218271808012802BibTex
@article{Balakin2008Nonmi-58651,
year={2008},
doi={10.1142/S0218271808012802},
title={Nonminimal isotropic cosmological model with Yang-Mills and Higgs fields},
number={8},
volume={17},
issn={0218-2718},
journal={International Journal of Modern Physics D},
pages={1255--1269},
author={Balakin, Alexander B. and Dehnen, Heinz and Zayats, Alexei E.}
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<dcterms:abstract xml:lang="eng">We establish a nonminimal Einstein–Yang–Mills–Higgs model, which contains six coupling parameters. The first three parameters relate to the nonminimal coupling of a non-Abelian gauge field and a gravity field, the next two parameters describe the so-called derivative nonminimal coupling of a scalar multiplet with a gravity field, and the sixth parameter introduces the standard coupling of a scalar field with a Ricci scalar. The formulated six-parameter nonminimal Einstein–Yang–Mills–Higgs model is applied to cosmology. We show that there exists a unique exact cosmological solution of the de Sitter type for a special choice of the coupling parameters. The nonminimally extended Yang–Mills and Higgs equations are satisfied for arbitrary gauge and scalar fields, when the coupling parameters are specifically related to the curvature constant of the isotropic space–time. Based on this special exact solution, we discuss the problem of a hidden anisotropy of the Yang–Mills field, and give an explicit example, when the nonminimal coupling effectively screens the anisotropy induced by the Yang–Mills field and thus restores the isotropy of the model.</dcterms:abstract>
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