Factorization connecting continuum & lattice TMDs

CONNECTING T AND LATTICE-VALUED CONVERGENCES

$top$-filters can be used to define $top$-convergence spaces in the lattice-valued context. Connections between $top$-convergence spaces and lattice-valued convergence spaces are given. Regularity of a $top$-convergence space has recently been defined and studied by Fang and Yue. An equivalent characterization is given in the present work in terms of convergence of closures of $top$-filters.  M...

Connecting Different TMD Factorization Formalisms in QCD

This Article is brought to you for free and open access by the Physics at ODU Digital Commons. It has been accepted for inclusion in Physics Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Collins, John and Rogers, Ted C., "Connecting Different TMD Factorization Formalisms in QCD" (2017)...

Connecting Physical Resonant Amplitudes and Lattice QCD

TMDs in Laguerre polynomial basis

We suggest the modification of the standard approach to TMDs. The modification consists in the consideration of the small bT operator product expansion in the different operator basis. Instead of power expansion we suggest to use the Laguerre polynomial expansion. Within such a scheme the first term of OPE saturates TMDs in the wider range of bT in comparison to the power expansion that decreas...

Microtubule elasticity: connecting all-atom simulations with continuum mechanics.

The mechanical properties of microtubules have been extensively studied using a wide range of biophysical techniques, seeking to understand the mechanics of these cylindrical polymers. Here we develop a method for connecting all-atom molecular dynamics simulations with continuum mechanics and show how this can be applied to understand microtubule mechanics. Our coarse-graining technique applied...