Quartic Gradient Flow
High Energy Physics - Phenomenology
2024-06-18 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
Saddle-point configurations, such as the Euclidean bounce and sphalerons, are known to be difficult to find numerically. In this Letter we study a new method, Quartic Gradient Flow, to search for such configurations. The central idea is to introduce a gradient-flow-like equation in such a way that all the fluctuations around the saddle-point have eigenvalues that are square of the eigenvalues of the original quadratic operator. We illustrate how the method works for the Euclidean bounce and sphalerons.
Cite
@article{arxiv.2308.11207,
title = {Quartic Gradient Flow},
author = {Muzi Hong and Ryusuke Jinno},
journal= {arXiv preprint arXiv:2308.11207},
year = {2024}
}
Comments
8 pages, 4 figures