Scaling laws and triviality bounds in the lattice ϕ4 theory (III). n-component model
1989; Elsevier BV; Volume: 318; Issue: 3 Linguagem: Inglês
10.1016/0550-3213(89)90637-8
ISSN1873-1562
Autores Tópico(s)Graph theory and applications
ResumoOur previous analytic treatment of the one-component standard lattice ϕ4 theory in four dimensions is extended to the O(n) symmetric model. Particular attention is paid to the phenomenologically interesting case of n=4. The renormalization group trajectories in the symmetric and in the Goldstone phase are mapped out and bounds on the renormalized self-coupling as a function of the ultra-violet cutoff are determined. Since the import of the results obtained has already been discussed in detail elsewhere, the emphasis here is put on the technical aspects of our work.
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