The renormalization group (RG) approach is largely responsible for the considerable success that has been achieved in developing a quantitative theory of phase transitions. Physical properties emerge from spectral properties of the linearization of the RG map at a fixed point. This article considers RG for classical Ising-type lattice systems. The linearization acts on an infinite-dimensional B...

We derive one-loop renormalization group (RG) invariant observables and analyze their phenomenological implications in the MSSM and its μ problem solving extensions, U(1) model and NMSSM. We show that there exist several RG invariants in the gauge, Yukawa and soft-breaking sectors of each model. In general, RG invariants are highly useful for projecting experimental data to messenger scale, for...

Tumor sensitivity to anticancer drugs such as CPT-11 and platinum derivatives was investigated by assessing Topo-1 and Bax/ERCC-1 expression in patients with stage I/II breast, lung, and gastric cancer who were positive for ONCs, and tumor sensitivity was compared between CPT-11 and platinum derivatives. In the recurrence group (RG) (n=5), immunohistochemistry revealed high expression of Topo-1...

The holographic renormalization group (RG) is reviewed in a self-contained manner. The holographic RG is based on the idea that the radial coordinate of a space-time with asymptotically AdS geometry can be identified with the RG flow parameter of the boundary field theory. After briefly discussing basic aspects of the AdS/CFT correspondence, we explain how the notion of the holographic RG comes...

Research was conducted on the effects of rotational grazing (RG) compared to continuous grazing (CG) on the behavior of cattle grazing on rangelands. Different livestock den&tics in the RG treatments were created by varying the size of paddocks in a 4651a, U-paddock, cell deaigntd RG treatment stocked at a rate of 3.6 ha/cow/yr. Paddock sizes of 30 and lo-ha were used to simulate RG with 14 (RG...

A U-paddock, celldesigned, rotational grazing (RG) system was initiated in March 1M)l to evaluate the effects of RG on various vegetation response variables and cow/calf production. This 20-month study was initiated in January 1983 to contrast herbage dynamics in the RG treatment to those in 8 yearlong continuously grazed tmtment (MC). Rate of stoclring in the RG treatment was 3.7 ha/cow/year a...

The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom, such as, for example, in quantum field theory and critical phenomena. What all these methods have in common—which is what explains their success—is that they allow a systematic search for those degrees of freedom that happen to be relevant to th...