English

The $(\lambda \Phi^4)_4$ theory on the lattice: effective potential and triviality

High Energy Physics - Lattice 2009-10-30 v1

Abstract

We compute numerically the effective potential for the (λΦ4)4(\lambda \Phi^4)_4 theory on the lattice. Three different methods were used to determine the critical bare mass for the chosen bare coupling value. Two different methods for obtaining the effective potential were used as a control on the results. We compare our numerical results with three theoretical descriptions. Our lattice data are in quite good agreement with the ``Triviality and Spontaneous Symmetry Breaking'' picture.

Keywords

Cite

@article{arxiv.hep-lat/9709057,
  title  = {The $(\lambda \Phi^4)_4$ theory on the lattice: effective potential and triviality},
  author = {A. Agodi and G. Andronico and P. Cea and M. Consoli and L. Cosmai},
  journal= {arXiv preprint arXiv:hep-lat/9709057},
  year   = {2009}
}

Comments

Contribution to the Lattice '97 proceedings, LaTeX, uses espcrc2.sty, 3 pages