scholarly journals Gluon propagator and zero-momentum modes in SU(2) lattice gauge theory

1998 ◽  
Vol 433 (1-2) ◽  
pp. 88-95 ◽  
Author(s):  
G. Damm ◽  
W. Kerler ◽  
V.K. Mitrjushkin
Keyword(s):  
Gauge Theory ◽  
Gluon Propagator ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Zero Momentum

scholarly journals SU(2) Gluon Propagators and the Asymmetry 〈ΔA2〉 in the Postconfinement Domain

2018 ◽  
Vol 47 ◽  
pp. 1860091
Author(s):  
V. G. Bornyakov ◽  
V. K. Mitrjushkin ◽  
R. N. Rogalyov
Keyword(s):  
Gauge Theory ◽  
Finite Volume ◽  
Lattice Gauge Theory ◽  
Gluon Condensate ◽  
Landau Gauge ◽  
Lattice Gauge ◽  
Zero Momentum ◽  
The Asymmetry ◽  
Increasing Temperature ◽  
Perturbative Result

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].

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

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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