PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Vacuum Structure and Confinement
Extracting Yang-Mills topological structures with adjoint modes
I. Soler*, G. Bergner and A. Gonzalez-Arroyo
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Pre-published on: December 27, 2023
Published on:
Abstract
We report on how adjoint zero modes can be used to filter out the topological structures of gauge
configurations from the UV fluctuations. We will use the Adjoint Filtering Method (AFM) which
relies on the existence of a particular Supersymmetric Zero Mode (SZM) that follows closely the
(anti)self-dual part of the action density. In contrast, it is not guaranteed that summing over the
lowest lying modes in the fundamental representation reproduces the topological density. We
present preliminary qualitative results on smooth, heated, and Monte-Carlo generated configura-
tions with non-trivial content of fractional instantons. The method is capable of distinguishing
the underlying topological structures without significantly modifying the gauge field as opposed
to smoothing techniques. The method looks promising as a tool to investigate and extend recent
studies based on semiclassical methods.
DOI: https://doi.org/10.22323/1.453.0378
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