E. Floratos

Higher-order effects in asymptotically free gauge theories : the anomalous dimensions of Wilson operators

We calculate the anomalous dimensions of the lowest twist, flavour non-singlet operators in the Wilson expansion to two loops. The calculation is performed using dimensional regularization and the minimal subtraction renormalization scheme. The physical relevance of our results in deep inelastic scattering is discussed.

Higher Order Effects in Asymptotically Free Gauge Theories. 2. Flavor Singlet Wilson Operators and Coefficient Functions

Abstract We complete the calculation of all parameters needed to discuss deep inelastic scattering in QCD to subleading order by calculating the anomalous dimensions of the twist-two flavour singlet operators in the Wilson expansion to two loops and the coefficient functions to order g 2 . The calculation is performed in the dimensional regularization scheme with the minimal subtraction renormalization prescription. The application of the results to deep inelastic scattering is discussed.

Modular discretization of the AdS2/CFT1 Holography

A bstractWe propose a finite discretization for the black hole, near horizon, geometry and dynamics. We realize our proposal, in the case of extremal black holes, for which the radial and temporal near horizon geometry is known to be

A note on SU(∞) classical Yang-Mills theories

\mathrm{Ad}{{\mathrm{S}}_2}={{{\mathrm{S}\mathrm{L}\left( {2,\mathbb{R}} \right)}} \left/ {{\mathrm{S}\mathrm{O}\left( {1,1,\mathbb{R}} \right)}} \right.}

Asymptotic freedom beyond the leading order

. We implement its discretization by replacing the set of real numbers

Penrose limits of orbifolds and orientifolds

\mathbb{R}

SU(5) unified theories from intersecting branes

with the set of integers modulo N with AdS2 going over to the finite geometry

The Low-energy Effective Field Theory From Four-dimensional Superstrings

\mathrm{Ad}{{\mathrm{S}}_2}\left[ N \right]={{{\mathrm{S}\mathrm{L}\left( {2,{{\mathbb{Z}}_N}} \right)}} \left/ {{\mathrm{S}\mathrm{O}\left( {1,1,{{\mathbb{Z}}_N}} \right)}} \right.}

Low Scale Unification, Newton's Law and Extra Dimensions

. We model the dynamics of the microscopic degrees of freedom by generalized Arnol’d cat maps,

The Heisenberg-Weyl group on the ZN×ZN discretized torus membrane

\mathrm{A}\in \mathrm{SL}\left( {2,{{\mathbb{Z}}_N}} \right)