Jun 2 – 7, 2019
Carnegie Mellon University
America/New_York timezone

Multiple-particle interaction in 1 + 1 dimensional lattice model

Jun 6, 2019, 5:30 PM
Rangos 1

Rangos 1

Contributed Hadron Spectroscopy Meson-Nucleon Interactions


Mr Tyler Morris (California State University Bakersfield)


Finite volume multiple-particle interaction is studied in a two-dimensional complex $\phi^4$ lattice model. The existence of analytical solutions to the $\phi^4$ model in two-dimensional space and time makes it a perfect model for the numerical study of finite volume effects of multi-particle interaction. The spectra from multiple particles are extracted from the Monte Carlo simulation on various lattices in several moving frames. The $S$-matrix of multi-particle scattering in $\phi^4$ theory is completely determined by two fundamental parameters: single particle mass and the coupling strength of two-to-two particle interaction. These two parameters are fixed by studying single-particle and two-particle spectra. Due to the absence of the diffraction effect in the $\phi^{4}$ model, three-particle quantization conditions are given in a simple analytical form. The three-particle spectra from simulation show remarkable agreement with the prediction of exact solutions.

Early Consideration No
Graduate Student No

Primary author

Dr Peng Guo (California State University Bakersfield)


Mr Tyler Morris (California State University Bakersfield)

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