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

我的研究主要集中在广义全局对称的有效场论和对偶的重整化。我发表了两篇论文，并在各种会议和研讨会上展示了我的发现。首先，研究了标量有效场理论的重整化问题。我和我的团队在标量有效场论中首次计算了高环路上的反常维张量。我们进一步发展了一个定理，可以预测反常维张量中的零。这个非线性非重整化定理在所有量子场论中都得到了证明。我们的工作提供了对有效场论的理论结构的更深入的理解，并有助于实际计算。其次，我研究了具有子系统对称性的晶格模型。这种新建立的全局对称性在凝聚态物理和高能物理领域都引起了人们的关注。我提出了一个新的玻色子-费米子对偶在（2+1）d晶格模型与子系统对称。这种对偶是通过广义Jordan-Wigner变换实现的。有了这种对偶性，我发现了费米子模型具有子系统对称性的新例子，这继续加深了我们对这种对称性的理解。

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.