Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-07-13
Phys.Rev. D51 (1995) 765-773
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 LaTex pages (5 figures available on request), UNITUE-THEP-8-1993
Scientific paper
10.1103/PhysRevD.51.765
Non-trivial $\phi ^{4}$-theory is studied in a renormalisation group invariant approach inside a box consisting of rectangular plates and where the scalar modes satisfy periodic boundary conditions at the plates. It is found that the Casimir energy exponentially approaches the infinite volume limit, the decay rate given by the scalar condensate. It therefore essentially differs from the power law of a free theory. This might provide experimental access to properties of the non-trivial vacuum. At small interplate distances the system can no longer tolerate a scalar condensate, and a first order phase transition to the perturbative phase occurs. The dependence of the vacuum energy density and the scalar condensate on the box dimensions are presented.
Langfeld Kurt
Reinhardt Hugo
Schm"user F.
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