Semiclassical Canovaccio for Composite Operators
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911415900569600 |
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| author | Antipin, Oleg Bersini, Jahmall Hafjall, Jacob Muco, Giulia Sannino, Francesco |
| author_facet | Antipin, Oleg Bersini, Jahmall Hafjall, Jacob Muco, Giulia Sannino, Francesco |
| contents | We present a novel semiclassical framework tailored to determine the scaling dimensions of heavy neutral composite operators in conformal field theories (CFTs) which are inaccessible with other current methodologies. It utilizes the state-operator correspondence to map the desired scaling dimensions to the semiclassical energy spectrum of periodic homogeneous field configurations on a cylinder. As concrete applications, we provide detailed analyses for the $ϕ^4$ theory near four dimensions and $ϕ^6$ near three dimensions, semiclassically determining the full spectrum of neutral operators in the traceless symmetric Lorentz representations. Our methodology is presented pedagogically and is readily applicable to a vast class of CFTs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_23539 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiclassical Canovaccio for Composite Operators Antipin, Oleg Bersini, Jahmall Hafjall, Jacob Muco, Giulia Sannino, Francesco High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology We present a novel semiclassical framework tailored to determine the scaling dimensions of heavy neutral composite operators in conformal field theories (CFTs) which are inaccessible with other current methodologies. It utilizes the state-operator correspondence to map the desired scaling dimensions to the semiclassical energy spectrum of periodic homogeneous field configurations on a cylinder. As concrete applications, we provide detailed analyses for the $ϕ^4$ theory near four dimensions and $ϕ^6$ near three dimensions, semiclassically determining the full spectrum of neutral operators in the traceless symmetric Lorentz representations. Our methodology is presented pedagogically and is readily applicable to a vast class of CFTs. |
| title | Semiclassical Canovaccio for Composite Operators |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.23539 |