Intersoliton forces in the Wess–Zumino model

Abstract

The spectrum of supersymmetric domain wall solitons of the Wess-Zumino model is known to be discontinuous across a curve (of marginal stability) in the moduli space of quartic superpotentials. Here we show how this phenomenon can be understood from the behaviour of the long-range inter-soliton force, which we compute by a method due to Manton.

Analytical study of kinklike structures with polynomial tails

“…As it is known, for masses different from zero, we find an exponential decay of the scalar field configuration to the minimum of the potential. This feature is interesting, for example, for the study of the force between kinks, where one usually obtains short-range interactions mediated by the asymptotic behavior of the kinklike solutions [15,16]. In addition, the existence of topological sectors linking minima with non-vanishing masses may result in the presence of excited modes in the spectrum of the stability equation related to resonances arising in kink/anti-kink scattering process [17][18][19][20][21][22][23][24][25][26][27].…”

Adiabatic motion of two-component BPS kinks

“…The adiabatic principle [2] has been successfully applied to black holes [3], magnetic monopoles [4], and self-dual vortices, both in Higgs, [5], and Chern-Simons-Higgs, [6]- [7]- [8]- [9], models. Recently, the moduli space of BPS domain walls has been discussed by Tong [10] and, following Manton's method, the low energy dynamics of solitons has been studied by Townsend and Portugues [11] in variations of the Wess-Zumino model.…”

Models for asymmetric hybrid brane

“…We have chosen x 0 = arctanh[(2 − n)/(2 + n)] to make φ n (0) = φ + mn as in Eq. (27). The solution for the sector −1 ≤ φ ≤ 0 can be found by taking φ n (x) → −φ n (x); in this sector, φ n (0) = φ − mn .…”