96 research outputs found
Radiative corrections to the Casimir effect for the massive scalar field
We compute the correction to the Casimir energy for the massive
model confined between a pair of parallel plates. The
calculations are made with Dirichlet and Neumann boundary conditions. The
correction is shown to be sensitive to the boundary conditions, except in the
zero mass limit, in which case our results agree with those found in the
literature.Comment: 6 pages. Work presented at the XXIII Brazilian National Meeting on
Particles and Fields (Aguas de Lindoia, Brazil, 15-19 Oct 2002). Also
available at http://www.sbf1.if.usp.br/eventos/enfpc/xxiii/procs/RES142.pd
Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field
We study the vacuum stability of a model of massless scalar and fermionic
fields minimally coupled to a Chern-Simons field. The classical Lagrangian only
involves dimensionless parameters, and the model can be thought as a (2+1)
dimensional analog of the Coleman-Weinberg model. By calculating the effective
potential, we show that dynamical symmetry breakdown occurs in the two-loop
approximation. The vacuum becomes asymmetric and mass generation, for the boson
and fermion fields takes place. Renormalization group arguments are used to
clarify some aspects of the solution.Comment: Minor modifications in the text and figure
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