摘要：
(1+1) ϕ4 theory is the simplest interacting relativistic field theory that can undergo spontaneous symmetry breaking (SSB), the phenomenon that also occurs in the Higgs mechanism. Studying this theory in a fully non-perturbative manner is desirable to uncover the non-perturbative aspect of SSB, as well as to test the effectiveness of the non-perturbative method. We solve for the critical coupling of the vanishing mass-gap in the symmetric phase of (1+1) ϕ4 theory using discretized light-cone quantization (DLCQ). We adopt periodic boundary conditions, neglect the zero mode, and obtain a critical coupling that is in reasonable agreement with other light front methods. We notice the difference of the critical coupling obtained in the light front frame with the one calculated in the equal time frame. Detailed analysis is needed in the future to understand the discrepancies between the two frames, as well as the role of the zero mode. We observe the crossings of invariant mass-square between states and show the transition of the dominant multi-boson configuration at the crossings. In order to realize the full potential of non-perturbative methods, we combine quantum simulation with DLCQ framework and obtain consistent results. Future exploration is needed to realize the possible quantum advantage using this theory as a testbed.

报告人简介：

黄梦遥博士2016年毕业于华中师范大学，2021年在美国爱荷华州立大学获得博士学位。2022-2023年为美国爱荷华州立大学博士后，2023年至今为美国劳伦斯利夫莫国家实验室博士后。她的研究方向为量子多体系统的求解、量子场论相变研究以及先进计算方法，包括高性能计算、量子计算和机器学习在这些强耦合量子多体系统和量子场论中的应用。