General solution of RG equations in the framework of background perturbation theory is written down in the large Nc limit. A simplified (model) approximation to the general solution is suggested which allows to write β(α) and α(β) to any loop order. The resulting αB(Q 2) coincides asymptotically at large |Q2| with standard (free) αs, saturates at small Q2 ≥ 0 and has poles at time-like Q2 in ag...

We study N = 1 supersymmetric SU(2) gauge theory in four dimensions with a large number of massless quarks. We argue that effective superpotentials as a function of local gauge-invariant chiral fields should exist for these theories. We show that although the superpotentials are singular, they nevertheless correctly describe the moduli space of vacua, are consistent under RG flow to fewer flavo...

Techniques developed for handing inverse-power-law potentials in atomic physics are applied to the tensor one-pion exchange potential to determine the regions in which it can be treated perturbatively. In S-, P and D-waves the critical values of the relative momentum are less than or of the order of 400 MeV. The RG is then used to determine the power counting for short-range interaction in the ...

In this paper, we apply the methods developed in recent work for constructing A-twisted (2,2) Landau-Ginzburg models to analogous (0,2) models. In particular, we study (0,2) LandauGinzburg models on topologically non-trivial spaces away from large-radius limits, where one expects to find correlation function contributions akin to (2,2) curve corrections. Such heterotic theories admit Aand B-mod...

Abstarct In this paper we determine how the beta funtion of the higgs self coupling λ at one loop order is modified by a light stabilized radion in the RandallSundrum model. We then use the modified beta function to derive a lower bound on the radion vev 〈φ〉, both for perturbative and non-perturbative values of λ at the ultra violet cut off Λ. The lower bound on 〈φ〉 is obtained by demanding tha...

Cannabis and other illicit drugs are often used or abused comorbidly. Two competing theories to explain this comorbidity are (i) the phenotypic causation (gateway) model and (ii) the correlated liabilities model. We used data from 1191 male and 934 female same-sex twin pairs to test 13 genetically informative models of comorbidity. Models were fit separately for use and abuse/dependence in both...

In the framework of the renormalization-group (RG) approach, critical phenomena can be investigated by studying the RG flow of multi-parameter Φ4 field theories with an N-component fundamental field, containing up to 4th-order polynomials of the field. Some physically interesting systems require Φ4 field theories with several quadratic and quartic parameters, depending essentially on their symm...

We give a “physics proof” of a conjecture made by the first author at Strings 2005, that the moduli spaces of certain conformal field theories are finite volume in the Zamolodchikov metric, using an RG flow argument.

We study closed string tachyon condensation using the RG flow of the worldsheet theory. In many cases the worldsheet theory enjoys N = 2 supersymmetry, which provides analytic control over the flow, due to non-renormalization theorems. Moreover, Mirror symmetry sheds light on the RG flow in such cases. We discuss the relevant tachyon condensation in the context of both compact and non-compact s...