Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-20
Int.J.Mod.Phys. A15 (2000) 2645-2660
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTex
Scientific paper
The general static solutions of the scalar field equation for the potential $V(\phi)= -1/2 M^2\phi^2 + \lambda/4 \phi^4$ are determined for a finite domain in $(1+1)$ dimensional space-time. A family of real solutions is described in terms of Jacobi Elliptic Functions. We show that the vacuum-vacuum boundary conditions can be reached by elliptic cn-type solutions in a finite domain, such as of the Kink, for which they are imposed at infinity. We proved uniqueness for elliptic sn-type solutions satisfying Dirichlet boundary conditions in a finite interval (box) as well the existence of a minimal mass corresponding to these solutions in a box. We define expressions for the ``topological charge'', ``total energy'' (or classical mass) and ``energy density'' for elliptic sn-type solutions in a finite domain. For large length of the box the conserved charge, classical mass and energy density of the Kink are recovered. Also, we have shown that using periodic boundary conditions the results are the same as in the case of Dirichlet boundary conditions. In the case of anti-periodic boundary conditions all elliptic sn-type solutions are allowed.
Adolfo Maia Jr.
Espichan Carrillo J. A.
Mostepanenko Vladimir
No associations
LandOfFree
Jacobi Elliptic Solutions of $λφ^4$ Theory in a Finite Domain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Jacobi Elliptic Solutions of $λφ^4$ Theory in a Finite Domain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jacobi Elliptic Solutions of $λφ^4$ Theory in a Finite Domain will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-80635