lambda Phi^4 Theory From a Particle-Gas Viewpoint
| dc.creator | Consoli, M. | |
| dc.creator | Stevenson, P. M. | |
| dc.date | 1997-11-24 | |
| dc.date.accessioned | 2026-07-25T20:02:03Z | |
| dc.description | We discuss the physics of the 3+1 dimensional lambda Phi^4 quantum field theory in terms of the statistical mechanics of a gas of particles (`atoms') that interact via a -1/r^3-plus-hard-core potential. The hard-core potential, delta^(3)(r), arises from the bare vertex diagram, while the attractive, long-range -1/r^3 potential is due to exchange of a particle pair via the t,u-channel "fish" diagram. (Higher-order diagrams preserve this form of the interparticle potential.) For sufficiently small atom mass, the lowest-energy state is not the `empty' state with no atoms, but a state with a non-zero density of spontaneously created atoms, Bose-condensed in the zero-momentum mode. This corresponds to the spontaneous-symmetry-breaking phase transition, and the `phonon' excitations of the Bose condensate correspond to Higgs particles. The important point is that the phase transition happens while the atom's physical mass m is still positive: it does not wait until m^2 passes through zero and becomes negative, contrary to the assumption of a second-order transition, on which renormalization-group-improved perturbation theory is based. | |
| dc.description | 40 pages, no figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9711449 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9711449 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/68700 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | lambda Phi^4 Theory From a Particle-Gas Viewpoint | |
| dc.type | text |