The Lattice Cutoff for $λϕ^4_4$ and $λϕ^6_3$
| dc.creator | Brahm, David E. | |
| dc.date | 1994-03-18 | |
| dc.date | 1994-03-18 | |
| dc.date.accessioned | 2026-07-07T08:59:41Z | |
| dc.date.available | 2026-07-07T08:59:41Z | |
| dc.description | We analyze the critical line of $λϕ^4_4$ perturbatively in the bare coupling $λ_0$, by setting the daisy-improved renormalized mass to zero. By comparing to lattice data, we can then quantify the relation between the continuum cutoff and the lattice spacing; for the 4-dimensional hypercubic lattice we find $(Λa)_{C4} = 4.893$. We perform a similar analysis for $λϕ^6_3$, and find in 3 dimensions $(Λa)_{C3} = 4.67$. We present two theoretical predictions for $(Λa)$. For small $λ_0$, both the critical line and the renormalized mass near criticality are easily and accurately calculated from the lattice input parameters. | |
| dc.description | 6 pages, LaTeX, 4 figures using epsf.tex. Now auto-generates PS | |
| dc.identifier | https://arxiv.org/abs/hep-lat/9403021 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/9403021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147802 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The Lattice Cutoff for $λϕ^4_4$ and $λϕ^6_3$ | |
| dc.type | text |