Nonuniqueness of the $λΦ^4$-vacuum
| dc.creator | Schützhold, Ralf | |
| dc.creator | Kuhn, Ralf | |
| dc.creator | Meyer-Hermann, Michael | |
| dc.creator | Plunien, Günter | |
| dc.creator | Soff, Gerhard | |
| dc.date | 2000-02-11 | |
| dc.date | 2001-05-21 | |
| dc.date.accessioned | 2026-07-07T04:09:28Z | |
| dc.date.available | 2026-07-07T04:09:28Z | |
| dc.description | We prove that the massless neutral $λΦ^4$-theory does not possess a unique vacuum. Based on the Wightman axioms the non-existence of a state which preserves Poincar{é} and scale invariance is demonstrated non-perturbatively for a non-vanishing self-interaction. We conclude that it is necessary to break the scale invariance in order to define a vacuum state. The renormalized vacuum expectation value of the energy-momentum tensor is derived from the two-point Wightman function employing the point-splitting technique and its relation to the phionic and the scalar condensate is addressed. Possible implications to other self-interacting field theories and to different approaches in quantum field theory are pointed out. PACS: 11.10.Cd, 11.15.Tk, 11.30.Qc | |
| dc.description | 10 pages in REVTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/0002095 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0002095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/49859 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Nonuniqueness of the $λΦ^4$-vacuum | |
| dc.type | text |