J. Mateos Guilarte

Generalized zeta functions and one-loop corrections to quantum kink masses

Abstract A method for describing the quantum kink states in the semi-classical limit of several (1+1)-dimensional field theoretical models is developed. We use the generalized zeta function regularization method to compute the one-loop quantum correction to the masses of the kink in the sine-Gordon and cubic sinh-Gordon models and another two P ( φ ) 2 systems with polynomial self-interactions.

One-loop corrections to classical masses of kink families

Abstract One-loop corrections to kink masses in a family of (1+1)-dimensional field theoretical models with two real scalar fields are computed. A generalized DHN formula applicable to potentials with and without reflection is obtained. It is shown how half-bound states arising in the spectrum of the second-order fluctuation operator for one-component topological kinks and the vacuum play a central role in the computation of the kink Casimir energy. The issue of whether or not the kink degeneracy exhibited by this family of models at the classical level survives one-loop quantum fluctuations is addressed.

Quantum vacuum energies and Casimir forces between partially transparent

In this paper the quantum vacuum energies induced by massive fluctuations of one real scalar field on a configuration of two partially transparent plates are analysed. The physical properties of the infinitely thin plates are characterized by two Dirac-

\delta

\delta

-function plates

potentials. We find that an attractive/repulsive Casimir force arises between the plates when the weights of the

Kinks in a nonlinear massive sigma model.

\delta

Deformed defects for scalar fields with polynomial interactions

s have equal/different sign. If some of the plates absorbs fluctuations below some threshold of energy (the corresponding weight is negative) there is the need to set a minimum mass to the scalar field fluctuations to preserve unitarity in the corresponding quantum field theory. Two repulsive

Semi-classical mass of quantum k-component topological kinks

\delta

Quantum oscillations of self-dual Abrikosov-Nielsen-Olesen vortices

-interactions are compatible with massless fluctuations. The effect of Dirichlet boundary conditions at the endpoints of the interval

N=2 supersymmetric kinks and real algebraic curves

(-a,a)