Scale-dependent Planck mass and Higgs VEV from holography and functional renormalization

We compute the scale-dependence of the Planck mass and of the vacuum expectation value of the Higgs field using two very different renormalization group methods: a "holographic" procedure based on Einstein's equations in five dimensions with matter confined to a 3-brane, and a "functional" procedure in four dimensions based on a Wilsonian momentum cutoff. Both calculations lead to very similar results, suggesting that the coupled theory approaches a non-trivial fixed point in the ultraviolet.Comment: 11 pages, 1 figur

Computing the effective action with the functional renormalization group

The \u201cexact\u201d or \u201cfunctional\u201d renormalization group equation describes the renormalization group flow of the effective average action \u393 k. The ordinary effective action \u393 0 can be obtained by integrating the flow equation from an ultraviolet scale k= \u39b down to k= 0. We give several examples of such calculations at one-loop, both in renormalizable and in effective field theories. We reproduce the four-point scattering amplitude in the case of a real scalar field theory with quartic potential and in the case of the pion chiral Lagrangian. In the case of gauge theories, we reproduce the vacuum polarization of QED and of Yang\u2013Mills theory. We also compute the two-point functions for scalars and gravitons in the effective field theory of scalar fields minimally coupled to gravity. \ua9 2016, The Author(s)

Mineralogical composition of post-flotation copper ore wastes and the possibility of their agricultural use

W pracy przedstawiono skład mineralny osadów po flotacji rud miedzi, które mogą znaleźć zastosowanie jako domieszki kontrolujące kwasowość gleb oraz źródło mikroelementów dla roślin. Wśród minerałów kruszcowych miedzi stwierdzono siarczki zawierające miedź i ołów: kowelin, chalkozyn, chalkopiryt, galenę; węglany miedzi i ołowiu: malachit i cerusyt oraz siarczki i tlenki żelaza: piryt, markasyt, hematyt i getyt. Frakcje ziarnowe powyżej 0,016 mm cechują się występowaniem miedzi rodzimej, przeobrażonej w kupryt, podczas gdy drobne frakcje ziarnowe są zdominowane udziałem malachitu. Doświadczenie z glebą kwaśną oraz rośliną testową (żyto zwyczajne – Secale cereale) wykazało, że osady poflotacyjne mogą być stosowane do regulowania odczynu gleby. Około 85% metali pobranych przez rośliny znajdowało się w ich korzeniach. Osady poflotacyjne, które zastosowane były jako gleby, powinny być przeznaczone raczej na uprawę roślin przemysłowych niż konsumpcyjnych.The paper describes a mineral and mineralogical composition of post-flotation tailings of copper ores and their possible use for agricultural purposes. The tailings can find application as additives controlling the acidity of agricultural soils and as a source of microelements for plants. The following copper and lead minerals are dominant: covellite, chalcocite, chalcopyrite and galena; copper and lead carbonates are represented by malachite and cerusite. Iron sulphides and oxides, i.e.: pyrite, marcasite, hematite and goethite have also been identified. In the grain fraction >0.016 mm, native copper was find, whereas fine fractions were dominated by the presence of malachite. An experiment with acid soil and test plant (rye – Secale cereale) has revealed that the tailings may be applied for regulating soil pH. Metal distribution in the test plant showed that ca 85% of metals were find in the root biomass. Tailings that are designated as soil should be used rather for crops of industrial purposes than for consumption

Renormalizability of nonlocal quantum gravity coupled to matter

Abstract We extensively study the ultraviolet quantum properties of a nonlocal action for gravity nonminimally coupled to matter. The theory unifies matter and gravity in an action principle such that all the classical solutions of Einstein’s theory coupled to matter are also solutions of the nonlocal theory. At the quantum level, we show that the theory is power-counting super-renormalizable in even dimensions and finite in odd dimensions. A simple extension of the model compatible with the above properties is finite also in even dimensions

Road safety in bus transport

W artykule przedstawiono problemy bezpieczeństwa w transporcie autobusowym w małej firmie przewozu osób oraz przykładową analizę wybranego zagrożenia pracy kierowcy zgodnie z wymaganiami normy PN-N-18002:2011. Zaproponowano wprowadzenie usprawnień infrastruktury drogowej mogące wpłynąć na poprawę bezpieczeństwa drogowego.The paper presents the problems of safety of bus transport in the small business people and a sample analysis of selected hazards for the driver in accordance with the requirements of PN-N-18002:2011. Propose the introduction of no-improvement of road infrastructure that could improve road safety