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Significant progress has been made in the past year in developing new `MHV' techniques for calculating multiparticle scattering amplitudes in Yang-Mills gauge theories. Most of the work so far has focussed on applications to Quantum…

High Energy Physics - Theory · Physics 2010-02-03 K. J. Ozeren , W. J. Stirling

Probability distribution of non-Abelian parallel transporters on the group manifold and the corresponding amplitude are investigated for quantum Yang-Mills fields. It is shown that when the Wilson area law and the Casimir scaling hold for…

High Energy Physics - Theory · Physics 2008-11-26 P. V. Buividovich , V. I. Kuvshinov

We study integrations over light-cone momenta in the high energy effective action of QCD. After a review of the effective action, we arrive on a regularization mechanism from matching with QCD diagrams, which we apply to a re-derivation of…

High Energy Physics - Phenomenology · Physics 2009-08-19 M. Hentschinski

An effective low energy action for Yang-Mills theories is proposed, which invokes an additional auxiliary field $H_{\mu \nu}$ for the field strength $F_{\mu \nu}$. For a particular relation between the parameters of this action a gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ulrich Ellwanger

The Wilson contour integral approach is applied to resum the soft gluon radiative correctins to the quark form factors in the Sudakov regime. The one-loop order results for the quark-photon (color singlet form factor) and quark-gluon (color…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor O. Cherednikov

We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$…

High Energy Physics - Phenomenology · Physics 2009-09-25 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

High Energy Physics - Theory · Physics 2010-06-29 Charalampos Anastasiou , Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Bill Spence , Gabriele Travaglini

Results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos are reported. We use the tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2010-03-26 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

We identify a hidden GL(n,C) symmetry of the tree level n-point MHV gravity amplitude. Representations of this symmetry reside in an auxiliary n-space whose indices are external particle labels. Spinor helicity variables transform…

High Energy Physics - Theory · Physics 2015-06-05 Clifford Cheung

The classical Yang-Mills equations are solved perturbatively in covariant gauge for a collision of two ultrarelativistic nuclei. The nuclei are taken as ensembles of classical color charges on eikonal trajectories. The classical gluon field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuri V. Kovchegov , Dirk H. Rischke

We use a recently derived integral representation of the one-loop effective action in Einstein-Maxwell theory for an explicit calculation of the part of the effective action containing the information on the low energy limit of the…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Jose Manuel Davila , Christian Schubert

We analyze the Wilson loop for a pure Yang-Mills theory, using a decoupling solution in close agreement with lattice computations. At one-gluon exchange level it is seen that the potential cannot yield a linear rising contribution as…

High Energy Physics - Phenomenology · Physics 2012-12-04 Marco Frasca

We show how all non-MHV tree-level amplitudes in 0 =< N =< 4 gauge theories can be obtained directly from the known MHV amplitudes using the scalar graph approach of Cachazo, Svrcek and Witten. Generic amplitudes are given by sums of…

High Energy Physics - Theory · Physics 2009-11-10 George Georgiou , E. W. N. Glover , Valentin V. Khoze

We present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover fermions and a…

High Energy Physics - Lattice · Physics 2018-04-18 M. Constantinou , H. Panagopoulos

We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in…

High Energy Physics - Lattice · Physics 2024-10-18 Nikolai Husung , Peter Marquard , Rainer Sommer

We make a change of field variables in the J formulation of self-dual Yang--Mills theory. The field equations for the resulting algebra valued field are derivable from a simple cubic action. The cubic interaction vertex is different from…

High Energy Physics - Theory · Physics 2009-10-22 Andrew Parkes

We consider bosons on Euclidean R^4 that are minimally coupled to an external Yang-Mills field. We compute the logarithmically divergent part of the cut-off regularized quantum effective action of this system. We confirm the known result…

Mathematical Physics · Physics 2009-11-10 Juha Loikkanen , Cornelius Paufler

This is a review of recent developments in the study of perturbative gauge theory and gravity using action functionals on twistor space. It is intended to provide a user-friendly introduction to twistor actions, geared towards researchers…

High Energy Physics - Theory · Physics 2013-10-10 Tim Adamo

Yang-Mills theory is studied in three dimensions using the equations of motion of the $1$PI and $3$PI effective actions. The employed self-contained truncation includes the propagators, the three-point functions and the four-gluon vertex…

High Energy Physics - Theory · Physics 2016-06-08 Markus Q. Huber

We consider analogs of Yang-Mills theories for non-semisimple real Lie algebras which admit invariant non-degenerate metrics. These 4-dimensional theories have many similarities with corresponding WZW models in 2 dimensions and Chern-Simons…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin