Casimir energy of the Skyrmion due to kaon vacuum fluctuations

Dependence of the vacuum energy on spherically symmetric background fields

“…There is a number of generalizations towards weakened boundaries, e.g., by introducing semi hard walls [7] or transparent boundaries realized by delta functions [8]. For actual interest in such calculations see, e.g., [9,10].…”

Casimir corrections in the bound state soliton model

“…As a consequence of the choice (15) the pionic Casimir energy is the same as in the SU (2) case where we found scale-independence of the soliton energy in tree + 1-loop over a wide region of chiral scales [2]. It should be mentioned that the scale-dependence of the LECs (12) differs slightly from that of the LECs used in SU (2) but that does not affect the statement concerning the scale-independence of the soliton energy. Because the coupling of the eta to the soliton proceeds through the mass terms only, it is extremely weak: the Casimir energy of the eta amounts to E η cas (m ρ ) = 1.7M eV and can savely be omitted.…”

BRST Symmetry and de Rham Cohomology

“…Next, in order to take into account the missing order N 0 effects, we consider the Casimir energy contributions to the Hamiltonian (6.90). The Casimir energy originated from the meson fluctuation can be given by the phase shift formula [171,172] …”