The algebraic analysis of evanescent operators in effective field theory and their asymptotic behavior

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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.