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Abstract:
(1+1) $\phi^4$ 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) $\phi^4$ 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.
Dr. Mengyao Huang is a Postdoctoral Researcher at Lawrence Livermore National Laboratory. She received her B.S. in Physics at Central China Normal University in 2016. After joining James P. Vary's Theoretical Nuclear Physics group at Iowa State University, she earned M.S. with thesis in Nuclear Physics on August 2020 and Ph.D. in Physics on December 2021. Her theses focus on solving quantum many-body structure and transition problems with computational methods on state-of-the-art supercomputers. She was then employed as a Postdoctoral Research Associate at Iowa State University to expand quantum computing as a new technique for quantum field theory calculations. Starting on May 2023, she is employed as a Postdoctoral Researcher at Lawrence Livermore National Laboratory, where she works on both quantum computing and machine learning applying on non-perturbative calculations.
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