Quantum MHV Diagrams

Over the past two years, the use of on-shell techniques has deepened our understanding of the S-matrix of gauge theories and led to the calculation of many new scattering amplitudes. In these notes we review a particular on-shell method developed recently, the quantum MHV diagrams, and discuss applications to one-loop amplitudes. Furthermore, we briefly discuss the application of D-dimensional generalised unitarity to the calculation of scattering amplitudes in non-supersymmetric Yang-Mills.Comment: 17 pages, 7 figures; based on two talks given at the 7th Workshop On Continuous Advances In QCD, 11-14 May 2006, Minneapolis, Minnesot

Branes at Singularities in Type 0 String Theory

We consider Type 0B D3-branes placed at conical singularities and analyze in detail the conifold singularity. We study the non supersymmetric gauge theories on their worldvolume and their conjectured dual gravity descriptions. In the ultraviolet the solutions exhibit a logarithmic running of the gauge coupling. In the infrared we find confining solutions and IR fixed points.Comment: 18 pages, uses BibTeX, ssg.bs

Comments on (Non-)Chiral Gauge Theories and Type IIB Branes

We use type IIB brane configurations which were recently suggested by Hanany and Zaffaroni to study four dimensional N=1 supersymmetric gauge theories. We calculate the one loop beta function and realize Seiberg's duality using a particular configuration. We also comment on the anomaly cancelation condition in the case of chiral theories and the beta function in the case of chiral and SO/Sp theories.Comment: 11 pages, Latex. 5 figures. Several changes in text and a reference was added. Accepted to Phys.Lett.

MHV One-Loop Amplitudes in Yang-Mills from Generalised Unitarity

In this letter, we exploit generalised unitarity in order to calculate the cut-constructible part of one-loop amplitudes in non-supersymmetric Yang-Mills theory. In particular, we rederive the n-gluon MHV amplitudes for both the adjacent and non-adjacent gluon helicity configurations from 3- and 4-particle cuts alone.Comment: 20 pages, 4 figures; v3 version published in JHE