The algebraic analysis of evanescent operators in effective field theory and their asymptotic behavior
Project/Area Number |
22KJ1072
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Project/Area Number (Other) |
22J21553 (2022)
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Research Category |
Grant-in-Aid for JSPS Fellows
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Allocation Type | Multi-year Fund (2023) Single-year Grants (2022) |
Section | 国内 |
Review Section |
Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
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Research Institution | The University of Tokyo |
Principal Investigator |
CAO Weiguang 東京大学, 理学系研究科, 特別研究員(DC1)
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Project Period (FY) |
2023-03-08 – 2025-03-31
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Project Status |
Granted (Fiscal Year 2023)
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Budget Amount *help |
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2024: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2023: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2022: ¥900,000 (Direct Cost: ¥900,000)
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Keywords | renormalization / effective field theory / subsystem symmetry / noninvertible symmetry / boson-fermion duality |
Outline of Research at the Start |
Effective operators, including evanescent operators, will be studied by renormalization. Their mixing will be calculated to higher loops to extract conformal data at Wilson-fisher fixed point. New generalized symmetry will be studied, which will put constraints on low energy effective field theory.
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Outline of Annual Research Achievements |
My research focused on the renormalization of effective field theory and dualities in generalized global symmetries. I published two papers and presented my findings in various conferences and workshops.
Firstly, I investigated the renormalization of scalar effective field theories. My team and I did the first calculation of anomalous dimension tensor at higher loops for scalar effective field theories. We further developed a theorem that predicts zeros in the anomalous dimension tensors. This non-linear non-renormalization theorem was proven for all quantum field theories. Our work provides a deeper understanding of effective field theories' theoretical structures and is useful for practical calculations.
Secondly, I studied lattice models with subsystem symmetry. This newly established global symmetry is attracting attention in both fields of condensed matter physics and high energy physics. I proposed a new boson-fermion duality in (2+1)d lattice models with subsystem symmetry. This duality is realized by generalized Jordan-Wigner transformation. With this duality, I found new examples of fermionic models with subsystem symmetry, which continues to deepen our understanding of this symmetry.
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Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
I conducted research on the non-linear order of renormalization in effective field theory, and successfully proved a highly general theorem that predicts zeros in anomalous dimension tensors. This achievement fulfills my research plan on renormalization. Additionally, I conducted a study on the newly discovered subsystem symmetry and proposed new dualities, which significantly deepen our understanding of this symmetry.
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Strategy for Future Research Activity |
For my future research, I plan to expand my findings to other theories. Specifically, I will apply the same analysis to O(N) effective field theories, which will extend the discussion of scalar effective field theories from 2 scalars to N scalars. Additionally, I aim to combine two different generalized symmetry: subsystem symmetry and noninvertible symmetry to extend the boundary of generalized global symmetry. To achieve this, I will construct additional examples to showcase the practical applications of this new symmetry.
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Report
(1 results)
Research Products
(12 results)