Landau gauge ghost and gluon propagators inSU(2)lattice gauge theory: Gribov ambiguity reexamined

We study numerically the chromoelectric-chromomagnetic asymmetry of the [Formula: see text] gluon condensate as well as the transverse and longitudinal gluon propagators at [Formula: see text] in the Landau-gauge [Formula: see text] lattice gauge theory. We show that the previously found point at which asymmetry changes sign is an artifact of the finite volume effects. We find that with increasing temperature the asymmetry decreases approaching zero value from above in agreement with perturbative result. Instead of the asymmetry we suggest the ratio of the transverse to longitudinal propagator taken at zero momentum as an indicator of the boundary of the postconfinement domain and find it at [Formula: see text].

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Infrared behavior and Gribov ambiguity inSU(2)lattice gauge theory

Physical Review D ◽

10.1103/physrevd.79.074504 ◽

2009 ◽

Vol 79 (7) ◽

Cited By ~ 38

Author(s):

V. G. Bornyakov ◽

V. K. Mitrjushkin ◽

M. Müller-Preussker

Keyword(s):

Gauge Theory ◽

Lattice Gauge Theory ◽

Infrared Behavior ◽

Lattice Gauge ◽

Gribov Ambiguity

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Bloch Waves in Minimal Landau Gauge and the Infinite-Volume Limit of Lattice Gauge Theory

Physical Review Letters ◽

10.1103/physrevlett.118.192002 ◽

2017 ◽

Vol 118 (19) ◽

Cited By ~ 4

Author(s):

Attilio Cucchieri ◽

Tereza Mendes

Keyword(s):

Gauge Theory ◽

Lattice Gauge Theory ◽

Landau Gauge ◽

Infinite Volume ◽

Bloch Waves ◽

Lattice Gauge ◽

Volume Limit ◽

Infinite Volume Limit

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The 〈A2〉 asymmetry and longitudinal propagator in lattice SU(2) gluodynamics at T ≃ Tc

International Journal of Modern Physics A ◽

10.1142/s0217751x18501518 ◽

2018 ◽

Vol 33 (26) ◽

pp. 1850151

Author(s):

V. G. Bornyakov ◽

V. V. Bryzgalov ◽

V. K. Mitrjushkin ◽

R. N. Rogalyov

Keyword(s):

Gauge Theory ◽

Critical Behavior ◽

Gluon Propagator ◽

Lattice Gauge Theory ◽

Gluon Condensate ◽

Landau Gauge ◽

Polyakov Loop ◽

Lattice Gauge ◽

Substantial Correlation ◽

The Asymmetry

We study numerically the chromoelectric–chromomagnetic asymmetry of the dimension two gluon condensate and the longitudinal gluon propagator at [Formula: see text] in the Landau-gauge [Formula: see text] lattice gauge theory. We show that substantial correlation between the asymmetry and the Polyakov loop as well as the correlation between the longitudinal propagator and the Polyakov loop pave the way to studies of the critical behavior of the asymmetry and the longitudinal propagator. The respective values of critical exponents and amplitudes are evaluated.

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