Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensions
Spontaneous scale invariance breaking and the associated Goldstone boson, the dilaton, is investigated in renormalizable, unitary, interacting non-supersymmetric scalar field theories in $4-\varepsilon$ dimensions. At leading order it is possible to construct models which give rise...
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| Format: | Article |
| Language: | English |
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SciPost
2022-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.12.5.169 |
| _version_ | 1811250947819569152 |
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| author | Daniel Nogradi, Balint Ozsvath |
| author_facet | Daniel Nogradi, Balint Ozsvath |
| author_sort | Daniel Nogradi, Balint Ozsvath |
| collection | DOAJ |
| description | Spontaneous scale invariance breaking and the associated Goldstone boson, the dilaton,
is investigated in renormalizable, unitary, interacting non-supersymmetric
scalar field theories in $4-\varepsilon$ dimensions.
At leading order it is possible to construct models which give rise
to spontaneous scale invariance breaking classically and indeed a massless dilaton can be identified. Beyond
leading order, in
order to have no anomalous scale symmetry breaking in QFT, the models need to be defined at a
Wilson-Fisher fixed point with exact conformal symmetry. It is shown that
this requirement on the couplings is incompatible with having the type of flat direction
which would be necessary for an exactly massless dilaton.
As a result spontaneous scale symmetry breaking and an exactly massless dilaton
can not occur in renormalizable, unitary $4-\varepsilon$ dimensional scalar QFT.
The arguments apply to $\phi^6$ theory in $3-\varepsilon$ dimensions as well. |
| first_indexed | 2024-04-12T16:13:19Z |
| format | Article |
| id | doaj.art-04c478ae48944d028db8b6041a8c91f4 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-12T16:13:19Z |
| publishDate | 2022-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-04c478ae48944d028db8b6041a8c91f42022-12-22T03:25:50ZengSciPostSciPost Physics2542-46532022-05-0112516910.21468/SciPostPhys.12.5.169Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensionsDaniel Nogradi, Balint OzsvathSpontaneous scale invariance breaking and the associated Goldstone boson, the dilaton, is investigated in renormalizable, unitary, interacting non-supersymmetric scalar field theories in $4-\varepsilon$ dimensions. At leading order it is possible to construct models which give rise to spontaneous scale invariance breaking classically and indeed a massless dilaton can be identified. Beyond leading order, in order to have no anomalous scale symmetry breaking in QFT, the models need to be defined at a Wilson-Fisher fixed point with exact conformal symmetry. It is shown that this requirement on the couplings is incompatible with having the type of flat direction which would be necessary for an exactly massless dilaton. As a result spontaneous scale symmetry breaking and an exactly massless dilaton can not occur in renormalizable, unitary $4-\varepsilon$ dimensional scalar QFT. The arguments apply to $\phi^6$ theory in $3-\varepsilon$ dimensions as well.https://scipost.org/SciPostPhys.12.5.169 |
| spellingShingle | Daniel Nogradi, Balint Ozsvath Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensions SciPost Physics |
| title | Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensions |
| title_full | Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensions |
| title_fullStr | Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensions |
| title_full_unstemmed | Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensions |
| title_short | Dilaton in scalar QFT: a no-go theorem in 4-epsilon and 3-epsilon dimensions |
| title_sort | dilaton in scalar qft a no go theorem in 4 epsilon and 3 epsilon dimensions |
| url | https://scipost.org/SciPostPhys.12.5.169 |
| work_keys_str_mv | AT danielnogradibalintozsvath dilatoninscalarqftanogotheoremin4epsilonand3epsilondimensions |