18–24 Aug 2024
Cairns, Queensland, Australia
Australia/Brisbane timezone

Color-magnetic correlation in SU(3) lattice QCD

20 Aug 2024, 16:00
20m
M2

M2

Oral A: Vacuum Structure and Confinement Vacuum Structure and Confinement

Speaker

Hideo Suganuma (Kyoto University)

Description

Motivated by color-magnetic instability in QCD [1,2], we investigate spatial color-magnetic correlation in SU(2) and SU(3) lattice QCD. In the Landau gauge, we numerically obtain the spatial color-magnetic correlation Hza(x)Hza(x+r). Curiously, the correlation is found to be always negative for r on xy-plane, apart from the same-point correlation. This behavior seems fairly different from the Savvidy/Copenhagen vacuum [1,2].
From an analytical expression of the gluon propagator Aμa(x)Aμa(x)emrr [3] in the Landau gauge, we obtain an analytic form of the magnetic correlation, which agrees with the lattice QCD data.
[1] G.K. Savvidy, Phys. Lett. B71 (1977) 133.
[2] H.B. Nielsen and P. Olesen, Nucl. Phys. B160 (1979) 380.
[3] T. iritani, H. Suganuma and H. Iida, Phys. Rev. D80 (2009) 114505.

Primary author

Hideo Suganuma (Kyoto University)

Co-authors

Atsuya Tokutake (Kyoto University) Kei Tohme (Kyoto University)

Presentation materials