scholarly journals Study on Abelian dominance of Interquark potential in SU (3) Lattice QCD using simulation Techniques

2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Chitra Kandpal ◽  
Sukhwinder Singh ◽  
Devraj Mishra
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Lattice Qcd ◽  
String Tension ◽  
Abelian Gauge ◽  
Analytic Proof ◽  
Simulation Techniques ◽  
Interquark Potential ◽  
Spatial Size ◽  
Free Quark

It is assumed that no free quark to be found in nature. This is known as the confinement problem, is an issue which has no analytic proof till yet. But lattice QCD Monte Carlo simulations have shown that for large distances the quark antiquark potential varies linearly with interquark distance and controlled by the string tension. In the present work we have revisited the study of interquark potentials and Abelianization of QCD in Maximally Abelian gauge in context of dual superconducting picture. We have also observed the perfect Abelian dominance of the string tension for various spatial size lattices.

scholarly journals Study on Abelian dominance of Interquark potential in SU (3) Lattice QCD using simulation Techniques

2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Chitra Kandpal ◽  
Sukhwinder Singh ◽  
Devraj Mishra
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Lattice Qcd ◽  
String Tension ◽  
Abelian Gauge ◽  
Analytic Proof ◽  
Simulation Techniques ◽  
Interquark Potential ◽  
Spatial Size ◽  
Free Quark

It is assumed that no free quark to be found in nature. This is known as the confinement problem, is an issue which has no analytic proof till yet. But lattice QCD Monte Carlo simulations have shown that for large distances the quark antiquark potential varies linearly with interquark distance and controlled by the string tension. In the present work we have revisited the study of interquark potentials and Abelianization of QCD in Maximally Abelian gauge in context of dual superconducting picture. We have also observed the perfect Abelian dominance of the string tension for various spatial size lattices.

scholarly journals Finite Temperature Lattice QCD in the Large N Limit

1997 ◽  
Vol 12 (10) ◽  
pp. 1783-1845 ◽  
Author(s):  
M. Billó ◽  
M. Caselle ◽  
A. d'Adda ◽  
S. Panzeri
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Lattice Qcd ◽  
Heat Kernel ◽  
Finite Temperature ◽  
Weak Coupling ◽  
Order Approximation ◽  
Zeroth Order ◽  
Large N ◽  
Temperature Lattice

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for instance in the comparison of the analytic results with Monte Carlo simulations. We first review the general set-up of finite temperature lattice gauge theories, using asymmetric lattices, and develop a consistent perturbative expansion in the coupling βs of the spacelike plaquettes. We study in detail the effective models for the Polyakov loop obtained, in the zeroth order approximation in βs, both from the Wilson action (symmetric lattice) and from the heat kernel action (completely asymmetric lattice). The distinctive feature of the heat kernel model is its relation with two-dimensional QCD on a cylinder; the Wilson model, on the other hand, can be exactly reduced to a twisted one-plaquette model via a procedure of the Eguchi–Kawai type. In the weak coupling regime both models can be related to exactly solvable Kazakov–Migdal matrix models. The instability of the weak coupling solution is due in both cases to a condensation of instantons; in the heat kernel case, this is directly related to the Douglas–Kazakov transition of QCD2. A detailed analysis of these results provides rather accurate predictions of the deconfinement temperature. In spite of the zeroth order approximation they are in good agreement with the Monte Carlo simulations in 2 + 1 dimensions, while in 3 + 1 dimensions they only agree with the Monte Carlo results away from the continuum limit.

scholarly journals Monte Carlo Simulations of Two and Three Dimensional Fluids Revisited: A Successful Demonstration of the Use of Polar Coordinates

1991 ◽  
Author(s):  
Francis J. Conlan
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Three Dimensional ◽  
Polar Coordinates ◽  
Sampling Area ◽  
Simulation Techniques ◽  
Virtual Imaging ◽  
Virtual Images ◽  
Rectangular Coordinates ◽  
Mc Simulation

Abstract Standard Monte Carlo (MC) simulation techniques in current use (Valleau and Whittington, Valleau and Torrie, 1977) in the study of Statistical properties of fluids are limited to being performed in rectangular coordinates and rely on a non-physical construct called virtual images. Virtual imaging was a technique used in the early days of computer simulations (1950–1960) to reduce extraneous boundary effects in Monte Carlo simulations of fluids (Wood, 1968). Simulations were restricted to rectangular sampling regions providing the central sampling area with virtual images of itself. All particles, including those near the boundary, by other particles.

Low-voltage EDS of magnesium ferrite Dendrites in a FEG-SEM

1996 ◽  
Vol 54 ◽  
pp. 478-479
Author(s):  
Matthew T. Johnson ◽  
Ian M. Anderson ◽  
Jim Bentley ◽  
C. Barry Carter
Keyword(s):  
Monte Carlo ◽  
Quantitative Analysis ◽  
Monte Carlo Simulations ◽  
Cross Section ◽  
Spatial Resolution ◽  
Low Voltage ◽  
Magnesium Ferrite ◽  
X Ray ◽  
Interaction Volume ◽  
Ferrite Spinel

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.

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