On possible composite structure of scalar fields in expanding universe
Abstract Scalar fields in curved backgrounds are assumed to be composite objects. As an example realizing such a possibility we consider a model of the massless tensor field $$l_{\mu \nu }(x)$$ l μ ν ( x ) in a 4-dim. background $$g_{\mu \nu }(x)$$ g μ ν ( x ) with spontaneously broken Weyl and scal...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-11158-3 |
| _version_ | 1797863736761909248 |
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| author | A. A. Zheltukhin |
| author_facet | A. A. Zheltukhin |
| author_sort | A. A. Zheltukhin |
| collection | DOAJ |
| description | Abstract Scalar fields in curved backgrounds are assumed to be composite objects. As an example realizing such a possibility we consider a model of the massless tensor field $$l_{\mu \nu }(x)$$ l μ ν ( x ) in a 4-dim. background $$g_{\mu \nu }(x)$$ g μ ν ( x ) with spontaneously broken Weyl and scale symmetries. It is shown that the potential of $$l_{\mu \nu }$$ l μ ν , represented by a scalar quartic polynomial, has the degenerate extremal described by the composite Nambu–Goldstone scalar boson $$\phi (x):=g^{\mu \nu }l_{\mu \nu }$$ ϕ ( x ) : = g μ ν l μ ν . Removal of the degeneracy shows that $$\phi $$ ϕ acquires a non-zero vev $$\langle \phi \rangle _{0}=\mu $$ ⟨ ϕ ⟩ 0 = μ which, together with the free parameters of the potential, defines the cosmological constant. The latter is zero for a certain choice of the parameters. |
| first_indexed | 2024-04-09T22:41:26Z |
| format | Article |
| id | doaj.art-4e49e46e55d24166b96cc04e77f91fab |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T22:41:26Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-4e49e46e55d24166b96cc04e77f91fab2023-03-22T12:09:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-01-0183111010.1140/epjc/s10052-022-11158-3On possible composite structure of scalar fields in expanding universeA. A. Zheltukhin0Kharkov Institute of Physics and TechnologyAbstract Scalar fields in curved backgrounds are assumed to be composite objects. As an example realizing such a possibility we consider a model of the massless tensor field $$l_{\mu \nu }(x)$$ l μ ν ( x ) in a 4-dim. background $$g_{\mu \nu }(x)$$ g μ ν ( x ) with spontaneously broken Weyl and scale symmetries. It is shown that the potential of $$l_{\mu \nu }$$ l μ ν , represented by a scalar quartic polynomial, has the degenerate extremal described by the composite Nambu–Goldstone scalar boson $$\phi (x):=g^{\mu \nu }l_{\mu \nu }$$ ϕ ( x ) : = g μ ν l μ ν . Removal of the degeneracy shows that $$\phi $$ ϕ acquires a non-zero vev $$\langle \phi \rangle _{0}=\mu $$ ⟨ ϕ ⟩ 0 = μ which, together with the free parameters of the potential, defines the cosmological constant. The latter is zero for a certain choice of the parameters.https://doi.org/10.1140/epjc/s10052-022-11158-3 |
| spellingShingle | A. A. Zheltukhin On possible composite structure of scalar fields in expanding universe European Physical Journal C: Particles and Fields |
| title | On possible composite structure of scalar fields in expanding universe |
| title_full | On possible composite structure of scalar fields in expanding universe |
| title_fullStr | On possible composite structure of scalar fields in expanding universe |
| title_full_unstemmed | On possible composite structure of scalar fields in expanding universe |
| title_short | On possible composite structure of scalar fields in expanding universe |
| title_sort | on possible composite structure of scalar fields in expanding universe |
| url | https://doi.org/10.1140/epjc/s10052-022-11158-3 |
| work_keys_str_mv | AT aazheltukhin onpossiblecompositestructureofscalarfieldsinexpandinguniverse |