Playing with the kinetic term in the HMC
Abstract
The HMC algorithm, combining the advantages of molecular dynamics and Monte-Carlo methods, is the most efficient algorithm to simulate QCD including the effects of sea quarks. In the standard approach momentum fields are generated with a Gaussian probability density. In this work I will explore another possibility. By using a Lorentz distribution one can dynamically impose a cutoff in the rate of change of the coordinates that potentially could have a better behavior. I will present some results in pure SU(2) gauge theory.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.