scholarly journals Correlations and Critical Behavior in Lattice Gluodynamics

2022 ◽  
Vol 258 ◽  
pp. 02010
Author(s):  
Vitaly Bornyakov ◽  
Vladimir Goy ◽  
Evgeny Kozlovsky ◽  
Valentin Mitrjushkin ◽  
Roman Rogalyov
Keyword(s):  
Regression Analysis ◽  
Temperature Dependence ◽  
Critical Behavior ◽  
Gluon Condensate ◽  
Landau Gauge ◽  
Polyakov Loop ◽  
The Asymmetry

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the A2 gluon condensate as well as with the longitudinal propagator makes it possible to determine the critical behavior of these quantities. We discuss finitevolume corrections and reveal that they can be reduced by the use of regression analysis. We also analyze the temperature dependence of low-momenta propagators in different Polyakov-loop sectors.

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.

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 Gluon condensate and the Polyakov loop

2018 ◽  
Vol 172 ◽  
pp. 02006
Author(s):  
Juan Pablo Carlomagno ◽  
Juan Cristóbal Rojas
Keyword(s):  
Temperature Dependence ◽  
Effective Potential ◽  
Gluon Condensate ◽  
Polyakov Loop ◽  
Temperature Range ◽  
Pure Gauge ◽  
Simple Picture ◽  
Good Agreement

The temperature dependence of the gluon condensate is deduced from the Polyakov loop effective potential. It is shown that this approach provides a simple picture for the electric gluon condensate around the deconfinement temperature, showing that it drops to zero in a temperature range which is in good agreement with different pure gauge lattice results.

Line shape in the low frequency wing of self- and N_2-broadened ν_3 CO_2 lines: temperature dependence of the asymmetry

1991 ◽  
Vol 30 (3) ◽  
pp. 281 ◽  
Author(s):  
Victor Menoux ◽  
Roger Le Doucen ◽  
Joel Boissoles ◽  
Christian Boulet
Keyword(s):  
Temperature Dependence ◽  
Line Shape ◽  
Low Frequency ◽  
The Asymmetry

scholarly journals Polyakov loop correlations in Landau gauge and the heavy quark potential

1988 ◽  
Vol 209 (1) ◽  
pp. 65-70 ◽  
Author(s):  
N. Attig ◽  
F. Karsch ◽  
B. Petersson ◽  
H. Satz ◽  
M. Wolff
Keyword(s):  
Heavy Quark ◽  
Landau Gauge ◽  
Polyakov Loop ◽  
Quark Potential ◽  
Heavy Quark Potential

scholarly journals Critical behavior of (2+1)-dimensional QED:1/Nfcorrections in the Landau gauge

2016 ◽  
Vol 94 (5) ◽  
Author(s):  
A. V. Kotikov ◽  
V. I. Shilin ◽  
S. Teber
Keyword(s):  
Critical Behavior ◽  
Landau Gauge

CALCULATION OF VOLUME AS FUNCTIONS OF TEMPERATURE AND PRESSURE IN ICE I CLOSE TO THE MELTING POINT

2010 ◽  
Vol 24 (19) ◽  
pp. 3749-3758
Author(s):  
E. KILIT ◽  
H. YURTSEVEN
Keyword(s):  
Experimental Data ◽  
Melting Point ◽  
Temperature Dependence ◽  
Pressure Dependence ◽  
Critical Behavior ◽  
Isothermal Compressibility ◽  
Thermal Expansivity ◽  
Experimental Measurements ◽  
Approximate Relation ◽  
Temperature And Pressure

We calculate in this study the volume of ice I as functions of temperature and pressure close to the melting point by analyzing the experimental data for the thermal expansivity. Using an approximate relation, the temperature dependence of the volume is calculated at 202.4 MPa from the thermal expansivity of ice I. The pressure dependence of the volume is also calculated at 252.3 K from the isothermal compressibility of ice I close to the melting point. The volume calculated here as functions of temperature and pressure shows critical behavior close to the melting point in ice I, which can be tested by the experimental measurements.

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