講座主題：A Stacky Perspective of Topological Sectors in Scalar Model
專家姓名：張柏陽
工作單位：河南大學
講座時間：2024年09月30日10:00-11:30
講座地點：化館北322
主辦單位：煙臺大學物理與電子信息學院
內(nèi)容摘要：
Topological solitons, kinks in our case, define their own superselection sectors, and Hilbert states therein don't mix with that in trivial vacuum in time evolution. Renormalization is crucial in obtaining finite order-by-order contributions in formal perturbation theory. However, the matching of renormalization schemes between different topological sectors was for a long time not well defined hence lead to ambiguity. In this tal we answer the question: If a vacuum sector Hamiltonian is regularized by an energy cutoff, how is the one-kink sector Hamiltonian regularized? We find that it is not regularized by an energy cutoff, indeed normal modes of all energies are present in the kink Hamiltonian, but rather the decomposition of the field into normal mode operators yields coefficients which lie on a constrained surface that forces them to become small for energies above the cutoff. This explains the old observation that an energy cutoff of the kink Hamiltonian leads to an incorrect one-loop kink mass.
主講人介紹：
張柏陽博士，河南大學數(shù)學與統(tǒng)計學院博士后，本科畢業(yè)于蘭州大學物理學院，研究生畢業(yè)于中國科學院近代物理研究所。曾在匈牙利科學院，魏格納理論物理中心（2018-2019）及明尼蘇達大學（2019-2022）從事博士后研究，在JHEP, Phys.Rev.D，Phys. Lett. B 等雜志發(fā)表文章十余篇。主要從事高能物理與數(shù)學物理方面的研究，包括：1）量子場論中拓撲結(jié)構(gòu)；2）場論量子化的一般數(shù)學結(jié)構(gòu)，特別是代數(shù)量子場論在標量場中的應用；3）Resurgence理論在物理模型中的應用，尤其是與瞬子有效相互作用的聯(lián)系。
