Supersymmetric extensions of the Standard Model predict the existence of Q-balls, some of which can be entirely stable. Affleck–Dine baryogenesis can result in a copious production of stable baryonic Q-balls, which can presently exist as a form of dark matter. 1 Q-balls from Supersymmetry In a class of theories with interacting scalar fields φ that carry some conserved global charge, the ground...

A generalized polynomial is a real-valued function which is obtained from conventional polynomials by the use of the operations of addition, multiplication, and taking the integer part; a generalized polynomial mapping is a vectorvalued mapping whose coordinates are generalized polynomials. We show that any bounded generalized polynomial mapping u:Z −→ R has a representation u(n) = f(φ(n)x), n ...

In this paper the author analyzes the weighted Renyi entropy in order to derive several inequalities in weighted case. Furthermore, using the proposed notions α-th generalized deviation and (α, p)-th weighted Fisher information, extended versions of the moment-entropy, Fisher information and Cramér-Rao inequalities in terms of generalized Gaussian densities are given. 1 The weighted p-Renyi ent...

We prove a local existence and uniqueness result of crystalline mean curvature flow starting from a compact convex admissible set in R . This theorem can handle the facet breaking/bending phenomena, and can be generalized to any anisotropic mean curvature flow. The method provides also a generalized geometric evolution starting from any compact convex set, existing up to the extinction time, sa...

As an extension of our previous study, we derive slow-roll conditions for multiple scalar fields which are non-minimally coupled with gravity and for generalized gravity theories of the form f(φ,R). We provide simple formulae of the spectral indices of scalar/tensor perturbations in terms of the slow-roll parameters. Extended Slow-Roll Conditions and Primordial Fluctuations: Multiple Scalar Fie...