Four new applications of oligo-phenylene ethynylene (OPE) and poly-PE (PPE) compounds for detection and destruction of biological and chemical threats have been investigated. Mixed surfaces composed of PPEs and a thermoswitchable polymer were created, and were shown to be able to capture, kill, and reversibly release pathogenic bacteria. In order to develop fluorescent sensors for CW agents, th...

Power corrections to differential cross sections near a kinematic threshold are analysed by Dressed Gluon Exponentiation. Exploiting the factorization property of soft and collinear radiation, the dominant radiative corrections in the threshold region are resummed, yielding a renormalization-scale-invariant expression for the Sudakov exponent. The interplay between Sudakov logs and renormalons ...

A self-assembled monolayer (SAM)-based fluorescent film was designed and prepared by chemical immobilization of a novel oligo(p-phenylene- ethynylene) (OPE) with cholic acid moieties at the ends of its side chains (Film 1). As a control, a similar film, Film 2, of which OPE brings no side chains, was also prepared. The structures of the films were characterized by contact angle, XPS, ATR-IR and...

An exact correspondence is pointed out between conformal field theories in D dimensions and dual resonance models in D ′ dimensions, where D ′ may differ from D. Dual resonance models, pioneered by Veneziano, were forerunners of string theory. The analogs of scattering amplitudes in dual resonance models are called Mellin amplitudes; they depend on complex variables s ij which substitute for th...

Virtual Compton Scattering at High EnergyZHANG CHEN In this dissertation we develop a theoretical framework in the context of per-turbative QuantumChromoDynamics (pQCD) for studying non-forward scatteringprocesses. In particular, we investigate a non-forward unequal mass virtual Comptonscattering amplitude by performing the general operator product expansion (OPE)and the for...

Understanding the relationships between the molecular structure and electronic transport characteristics of single-molecule junctions is of fundamental and technological importance for future molecular electronics. Herein, we report a combined experimental and theoretical study on the single-molecule conductance of a series of oligo(phenylene ethynylene) (OPE) molecular wires, which consist of ...

We study the issue of duality violations in the V V −AA vacuum polarization function in the chiral limit. This is done with the help of a model with an expansion in inverse powers of the number of colors, Nc, allowing us to consider resonances with a finite width. Due to these duality violations, the Operator Product Expansion (OPE) and the moments of the spectral function (e.g. the Weinberg su...

We derive general bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal andN = 1 superconformal field theories. In any CFT containing a scalar primary φ of dimension d we show that crossing symmetry of 〈φφφφ〉 implies a completely general lower bound on the central charge c ≥ fc(d). Similarly, in CFTs containing a complex scalar charged under global symmetries, we ...

The ’t Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a laboratory for exploring various aspects of the heavy quark expansions in the nonleptonic and semileptonic decays of heavy flavors. We perform a complete operator analysis and construct the operator product expansion (OPE) up to termsO(1/mQ), inclusively. The OPE-based predictions for the inclusive widt...

We consider the problem of off-policy evaluation (OPE) in reinforcement learning (RL), where goal is to estimate performance an policy, pie, using a fixed dataset, D, collected by one or more policies that may be different from pie. Current OPE algorithms produce poor estimates under policy distribution shift i.e., when probability particular state-action pair occurring pie very same D. In this...