Bound states from the spectral Bethe-Salpeter equation

Autor: Eichmann, Gernot, Gómez, Andrés, Horak, Jan, Pawlowski, Jan M., Wessely, Jonas, Wink, Nicolas
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We compute the bound state properties of three-dimensional scalar $\phi^4$ theory in the broken phase. To this end, we extend the recently developed technique of spectral Dyson-Schwinger equations to solve the Bethe-Salpeter equation and determine the bound state spectrum. We employ consistent truncations for the two-, three- and four-point functions of the theory that recover the scaling properties in the infinite coupling limit. Our result for the mass of the lowest-lying bound state in this limit agrees very well with lattice determinations.
Comment: 15 pages, 16 figures
Databáze: arXiv