For most discretizations of the phi4 theory, the stationary kink can only be centered either on a lattice site or midway between two adjacent sites. We search for exceptional discretizations that allow stationary kinks to be centered anywhere between the sites. We show that this translational invariance of the kink implies the existence of an underlying one-dimensional map phi(n+1) =F (phi(n)) ...

In this paper, a type of fully nonlinear Sine-Gordon equations and the approximate Sine-Gordon equation (under the condition: |up|is very small) are studied.Through proper transformation, some initial value problems of many equations with special nonlinear terms are solved by the Adomian decomposition method and some exact solutions: kink solution ,compacton solution, multi-compacton solution, ...

The Japanese economy experienced very rapid growth in the 1960s, but this growth significantly decelerated in the early 1970s. It is generally accepted that the growth potential underwent a ‘kink’, though the reason for this is still actively debated. Then, the economy showed a real growth rate of around 5 per cent on average for about 20 years. In the 1990s, however, the economy has been quite...

Atomically resolved dynamic force microscopy ~DFM! images of step and kink sites of NaCl films grown on the Cu~111! surface are presented. Combining experimental results with an atomistic modeling of DFM imaging, we study the mechanism of contrast formation and extract more information about the tip and NaCl film structure. The experimental results and theoretical modeling systematically demons...

We review our work of the past decade on one-loop quantum corrections to the mass M and central charge Z of solitons in supersymmetric field theories: the kink, the vortex, and the monopoles (focussing on the kink and the monopoles here). In each case a new feature was needed to obtain BPS saturation: a new anomaly-like contribution to Z for the kink and the N = 2 monopole, the effect of classi...

In this paper we report multifrequency single pulse polarization observations of the PSR B0329+54 normal mode using the Giant Meterwave Radio Telescope at 325 and 610 MHz and the Effelsberg Observatory at 2695 MHz. Our observations show that towards the central part of the polarization position-angle traverse there is an unusual “arc”-like structure, which is comprised of a broadband “kink” and...

Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the 42-model. It is known that in these models there are also states, called kink states, which interpolate different vacua. A general construction scheme for kink states in the framework of algebraic quantum field theory is developed in a previous paper. However, for t...

Spin-charge separation in the one dimensional electron gas should give rise to two peaks in the single hole spectral function. However, unambiguous detection of these two peaks has proven difficult, since the combined effects of interactions, thermal broadening, and finite experimental resolution can suppress the spin peak. Nevertheless, a telltale kink in the dispersion remains, and the system...

We present a toy model for five-dimensional heterotic M-theory where bulk three-branes, originating in 11 dimensions from M five-branes, are modelled as kink solutions of a bulk scalar field theory. It is shown that the vacua of this defect model correspond to a class of topologically distinct M-theory compactifications. Topology change can then be analysed by studying the time evolution of the...