First lattice evidence for a non-trivial renormalization of the Higgs condensate

Details First lattice evidence for a non-trivial renormalization of the Higgs condensate First lattice evidence for a non-trivial renormalization of the Higgs condensate

1998-05-05

arxiv.org/abs/hep-lat/9805005v1

Mod.Phys.Lett. A13 (1998) 2361-2368

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 3 figures, 1 table, Latex2e

Scientific paper

10.1142/S0217732398002515

General arguments related to ``triviality'' predict that, in the broken phase of $(\lambda\Phi^4)_4$ theory, the condensate $<\Phi>$ re-scales by a factor $Z_{\phi}$ different from the conventional wavefunction-renormalization factor, $Z_{prop}$. Using a lattice simulation in the Ising limit we measure $Z_{\phi}=m^2 \chi$ from the physical mass and susceptibility and $Z_{prop}$ from the residue of the shifted-field propagator. We find that the two $Z$'s differ, with the difference increasing rapidly as the continuum limit is approached. Since $Z_{\phi}$ affects the relation of $<\Phi>$ to the Fermi constant it can sizeably affect the present bounds on the Higgs mass.

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