Cho-Faddeev-Niemi decomposition of lattice Yang-Mills theory and evidence of a novel magnetic condensation
Akihiro Shibata, Kei-Ichi Kondo, Seikou Kato, Takeharu Murakami and, Toru Shinohara
TL;DR
This paper introduces a lattice implementation of the Cho-Faddeev-Niemi decomposition for SU(2) Yang-Mills theory, maintaining color symmetry and providing evidence for a new form of magnetic condensation through numerical simulations.
Contribution
First lattice implementation of Cho-Faddeev-Niemi decomposition that preserves color symmetry in SU(2) Yang-Mills theory.
Findings
Retention of global SU(2) gauge invariance after gauge fixing
Numerical evidence of a novel magnetic condensation
Demonstration of the decomposition's compatibility with lattice gauge theory
Abstract
We present the first implementation of the Cho--Faddeev--Niemi ecomposition of the SU(2) Yang-Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of Maximally Abelian gauge, as explicitly demonstrated by numerical simulations.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics