Stability and Related Properties of Vacua and Ground States
| dc.creator | Wreszinski, Walter | |
| dc.creator | Jaekel, Christian | |
| dc.date | 2006-09-21 | |
| dc.date.accessioned | 2026-07-07T11:28:11Z | |
| dc.date.available | 2026-07-07T11:28:11Z | |
| dc.description | We consider the formal non relativistc limit (nrl) of the :ϕ^4:_{s+1} relativistic quantum field theory (rqft), where s is the space dimension. Following work of R. Jackiw, we show that, for s=2 and a given value of the ultraviolet cutoff κ, there are two ways to perform the nrl: i.) fixing the renormalized mass m^2 equal to the bare mass m_0^2; ii.) keeping the renormalized mass fixed and different from the bare mass m_0^2. In the (infinite-volume) two-particle sector the scattering amplitude tends to zero as κ-> \infty in case i.) and, in case ii.), there is a bound state, indicating that the interaction potential is attractive. As a consequence, stability of matter fails for our boson system. We discuss why both alternatives do not reproduce the low-energy behaviour of the full rqft. The singular nature of the nrl is also nicely illustrated for s=1 by a rigorous stability/instability result of a different nature. | |
| dc.description | Latex | |
| dc.identifier | https://arxiv.org/abs/math-ph/0609059 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0609059 | |
| dc.identifier | AnnalsPhys.323:251-266,2008 | |
| dc.identifier | doi:10.1016/j.aop.2007.02.002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196363 | |
| dc.subject | Mathematical Physics | |
| dc.title | Stability and Related Properties of Vacua and Ground States | |
| dc.type | text |