A bstract general analysis of line defect renormalisation group (RG) flows in the ε expansion below d = 4 dimensions is undertaken. The beta function for scalar-fermion bulk theories computed to next-to-leading order couplings. Scalar models as well with various global symmetries are considered at leading non-trivial order. Different types potential infrared (IR) conformal field (dCFTs) and the...

The problem of the cosmic coincidence is a longstanding puzzle. This conundrum may be solved by introducing a coupling between the two dark sectors. In this Letter, we study two cases of the coupled quintessence scenario. (a) Assume that the mass of dark matter particles depends exponentially on the scalar field associated to dark energy and meanwhile the scalar field evolves in an exponential ...

In 1953 Peter Roquette gave an arithmetic proof of the Riemann hypothesis for algebraic function fields over a finite constants field, which was proved by André Weil in 1940. The construction of Weil’s scalar product is essential in Roquette’s theory. In this paper a scalar product for algebraic function fields over a number field is constructed which is the analogue of Weil’s scalar product.

Static, cylindrically symmetric solutions to nonlinear scalar-Einstein equations are considered. Regularity conditions on the symmetry axis and flat or string asymptotic conditions are formulated in order to select soliton-like solutions. Some non-existence theorems are proved, in particular, theorems asserting (i) the absence of black-hole and wormholelike cylindrically symmetric solutions for...

Abstract In this work, we consider the models of cosmological inflation based on generalized scalar–tensor theories gravity with quadratic connection between Hubble parameter and coupling function. For such a class models, discuss correspondence well-known versions physically motivated potentials scalar field. It is shown that corresponds to Planck observational constraints perturbation paramet...

It is shown that if a variable cosmological term in the present Universe is described by a scalar field with minimal coupling to gravity and with some phenomenological self-interaction potential V (φ), then this potential can be unambiguously determined from the following observational data: either from the behaviour of density perturbations in dustlike matter component as a function of redshif...