The Phase Diagram of a U(1) Higgs-Yukawa Model at Finite $λ$

Details The Phase Diagram of a U(1) Higgs-Yukawa Model at Finite $λ$ The Phase Diagram of a U(1) Higgs-Yukawa Model at Finite $λ$

1992-07-06

arxiv.org/abs/hep-lat/9207006v1

Nucl.Phys. B394 (1993) 527-540

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 3 postscript figures

Scientific paper

10.1016/0550-3213(93)90024-J

In this paper we investigate how the phase diagram of a U(1) symmetric Higgs-Yukawa system depends on the scalar self coupling $\lambda$. The phase diagram of similar models with continuous symmetry were extensively studied in the infinite scalar self coupling $\lambda=\infty$ limit. Recent analytical and numerical calculations at zero self coupling showed qualitatively different phase diagram, raising the question of the $\lambda$ dependence of the phase diagram. Here we use analytical (large $N_f$, perturbative and mean field) approximations as well as numerical simulations to investigate the system.

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