NDLI: Local Correlation among the Chiral Condensate, Monopoles, and Color Magnetic Fields in Abelian Projected QCD

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Local Correlation among the Chiral Condensate, Monopoles, and Color Magnetic Fields in Abelian Projected QCD

Content Provider	MDPI
Author	Suganuma, Hideo Ohata, Hiroki
Copyright Year	2021
Description	Using the lattice gauge field theory, we study the relation among the local chiral condensate, monopoles, and color magnetic fields in quantum chromodynamics (QCD). First, we investigate idealized Abelian gauge systems of (1) a static monopole–antimonopole pair and (2) a magnetic flux without monopoles, on a four-dimensional Euclidean lattice. In these systems, we calculate the local chiral condensate on quasi-massless fermions coupled to the Abelian gauge field, and find that the chiral condensate is localized in the vicinity of the magnetic field. Second, using SU(3) lattice QCD Monte Carlo calculations, we investigate Abelian projected QCD in the maximally Abelian gauge, and find clear correlation of distribution similarity among the local chiral condensate, monopoles, and color magnetic fields in the Abelianized gauge configuration. As a statistical indicator, we measure the correlation coefficient r, and find a strong positive correlation of $r≃0.8$ between the local chiral condensate and an Euclidean color-magnetic quantity $F$ in Abelian projected QCD. The correlation is also investigated for the deconfined phase in thermal QCD. As an interesting conjecture, like magnetic catalysis, the chiral condensate is locally enhanced by the strong color-magnetic field around the monopoles in QCD.
Starting Page	318
e-ISSN	22181997
DOI	10.3390/universe7090318
Journal	Universe
Issue Number	9
Volume Number	7
Language	English
Publisher	MDPI
Publisher Date	2021-08-28
Access Restriction	Open
Subject Keyword	Universe Quantum Science and Technology Qcd Chiral Symmetry Monopole Lattice Qcd Spontaneous Symmetry Breaking Abelian Projection Magnetic Catalysis
Content Type	Text
Resource Type	Article

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