Quartic Gradient Flow

Fuente: arXiv
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Autores principales: Hong, Muzi, Jinno, Ryusuke
Formato: Preprint
Publicado: 2023
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author Hong, Muzi
Jinno, Ryusuke
author_facet Hong, Muzi
Jinno, Ryusuke
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_11207
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quartic Gradient Flow
Hong, Muzi
Jinno, Ryusuke
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
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.
title Quartic Gradient Flow
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2308.11207