Lattice Computation of the Effective Potential in O(2)-Invariant λΦ⁴ Theory

1994/04/20 by A. Agodi, Antonella Agodi, Giuseppe Andronico +5
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-lat/9404010

13 pages, RevTeX

arxiv created 1994/04/20 · openalex publication_date 1994/04/20 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We present a lattice computation of the effective potential for O(2)-invariant (λΦ⁴)₄ theory in the region of bare parameters corresponding to a classically scale-invariant theory. As expected from ``triviality'' and as in the one-component theory, we find very good agreement with the one-loop prediction, while a perturbative leading-log improvement of the effective potential fails to reproduce the Monte Carlo data. The mass m_h of the free shifted radial field is related to the renormalized vacuum expectation value v_R through the same relation m²_h=8π² v²_R as in the one-component case. This confirms the prediction of a weakly interacting 2.2 TeV Higgs particle in the standard model.

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