A finite energy-momentum tensor for the ϕ3 theory in 6 dimensions
Following Brown [1], we construct composite operators for the scalar ϕ3 theory in six dimensions using renormalisation group methods with dimensional regularisation. We express bare scalar operators in terms of renormalised composite operators of lower dimension, then do this with traceless tensor o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-10-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321321002248 |
| _version_ | 1819294341280038912 |
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| author | Pavan Dharanipragada Bala Sathiapalan |
| author_facet | Pavan Dharanipragada Bala Sathiapalan |
| author_sort | Pavan Dharanipragada |
| collection | DOAJ |
| description | Following Brown [1], we construct composite operators for the scalar ϕ3 theory in six dimensions using renormalisation group methods with dimensional regularisation. We express bare scalar operators in terms of renormalised composite operators of lower dimension, then do this with traceless tensor operators. We then express the bare energy momentum tensor in terms of the renormalised composite operators, with some terms having divergent coefficients. We subtract these away and obtain a manifestly finite energy momentum tensor. The subtracted terms are transverse, so this does not affect the conservation of the energy momentum tensor. The trace of this finite improved energy momentum tensor vanishes at the fixed point indicating conformal invariance. Interestingly it is not RG invariant except at the fixed point, but can be made RG invariant everywhere by further addition of finite transverse terms, whose coefficients vanish at the fixed point. |
| first_indexed | 2024-12-24T04:24:47Z |
| format | Article |
| id | doaj.art-1053768ef3f94f3caf6972b38ff2db5d |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-24T04:24:47Z |
| publishDate | 2021-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-1053768ef3f94f3caf6972b38ff2db5d2022-12-21T17:15:40ZengElsevierNuclear Physics B0550-32132021-10-01971115527A finite energy-momentum tensor for the ϕ3 theory in 6 dimensionsPavan Dharanipragada0Bala Sathiapalan1Institute of Mathematical Sciences, CIT Campus, Tharamani, Chennai 600113, India; Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India; Corresponding authors.Institute of Mathematical Sciences, CIT Campus, Tharamani, Chennai 600113, India; Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India; Corresponding authors.Following Brown [1], we construct composite operators for the scalar ϕ3 theory in six dimensions using renormalisation group methods with dimensional regularisation. We express bare scalar operators in terms of renormalised composite operators of lower dimension, then do this with traceless tensor operators. We then express the bare energy momentum tensor in terms of the renormalised composite operators, with some terms having divergent coefficients. We subtract these away and obtain a manifestly finite energy momentum tensor. The subtracted terms are transverse, so this does not affect the conservation of the energy momentum tensor. The trace of this finite improved energy momentum tensor vanishes at the fixed point indicating conformal invariance. Interestingly it is not RG invariant except at the fixed point, but can be made RG invariant everywhere by further addition of finite transverse terms, whose coefficients vanish at the fixed point.http://www.sciencedirect.com/science/article/pii/S0550321321002248 |
| spellingShingle | Pavan Dharanipragada Bala Sathiapalan A finite energy-momentum tensor for the ϕ3 theory in 6 dimensions Nuclear Physics B |
| title | A finite energy-momentum tensor for the ϕ3 theory in 6 dimensions |
| title_full | A finite energy-momentum tensor for the ϕ3 theory in 6 dimensions |
| title_fullStr | A finite energy-momentum tensor for the ϕ3 theory in 6 dimensions |
| title_full_unstemmed | A finite energy-momentum tensor for the ϕ3 theory in 6 dimensions |
| title_short | A finite energy-momentum tensor for the ϕ3 theory in 6 dimensions |
| title_sort | finite energy momentum tensor for the ϕ3 theory in 6 dimensions |
| url | http://www.sciencedirect.com/science/article/pii/S0550321321002248 |
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