Conformal symmetry and composite operators in the O(N)3 tensor field theory
We continue the study of the bosonic O(N )3 model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant 𝜙4 composite operators, known as tetrahedron, pillow and double-trace. As shown in [1, 2], the tetrahedron operator is exactly marginal in the...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
June 17, 2020
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| In: |
Journal of high energy physics
Year: 2020, Heft: 6, Pages: 1-50 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP06(2020)113 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP06(2020)113
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| Verfasserangaben: | Dario Benedetti, Razvan Gurau and Kenta Suzuki |
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| 246 | 3 | 3 | |a Conformal symmetry and composite operators in the O(N) three tensor field theory |
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| 520 | |a We continue the study of the bosonic O(N )3 model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant 4 composite operators, known as tetrahedron, pillow and double-trace. As shown in [1, 2], the tetrahedron operator is exactly marginal in the large-N limit and for a purely imaginary tetrahedron coupling a line of real infrared fixed points (parametrized by the absolute value of the tetrahedron coupling) is found for the other two couplings. These fixed points have real critical exponents and a real spectrum of bilinear operators, satisfying unitarity constraints. This raises the question whether at large-N the model is unitary, despite the tetrahedron coupling being imaginary. | ||
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