Duality and color confinement in restricted gauge theory

2000 ◽  
Vol 77 (10) ◽  
pp. 795-811
Author(s):  
JMS Rana
Keyword(s):  
Gauge Theory ◽  
Quantum Chromodynamics ◽  
Coherence Length ◽  
Landau Theory ◽  
London Penetration Depth ◽  
Ginzburg Landau ◽  
Energy Functions ◽  
Color Confinement ◽  
Vortex Solutions ◽  
Flux Energy

Using electromagnetic duality, the isocolor charge-dyon interactions were studied in restricted quantum chromodynamics (RCD) in terms of current-current correlations in the magnetic gauge using the dielectric and permeability parameters of the associated vacuum. The resulting 1/k4 behaviour of the dual propagators is interpreted as a signature of confinement for the corresponding colored fluxes of the theory. Evaluating the vortex solutions of RCD semi-quantitatively, in accordance with Higgs-Ginzburg-Landau theory, expressions for London penetration depth, coherence length, and associated flux energy functions for types I and II superconducting media are derived and an analogy of the type of superconducting medium with the bag model and string picture of hadrons is discussed.PACS Nos.: 11.30 Jw, 14.80 Hv, 12.38 Aw

scholarly journals Effective Abelian-Higgs Theory from SU(2) gauge field theory

2005 ◽  
Vol 20 (15) ◽  
pp. 3481-3487 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON ◽  
DANNY DHOKARH
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Mass Term ◽  
Gauge Field Theory ◽  
Ginzburg Landau ◽  
Flux Tubes ◽  
Color Confinement

In the present work we show that it is possible to arrive at a Ginzburg-Landau (GL) like equation from pure SU (2) gauge theory. This has a connection to the dual superconducting model for color confinement where color flux tubes permanently bind quarks into color neutral states. The GL Lagrangian with a spontaneous symmetry breaking potential, has such (Nielsen-Olesen) flux tube solutions. The spontaneous symmetry breaking requires a tachyonic mass for the effective scalar field. Such a tachyonic mass term is obtained from the condensation of ghost fields.

scholarly journals Зависимость критической температуры цилиндрических сверхпроводников от граничных условий

2020 ◽  
Vol 62 (10) ◽  
pp. 1594
Author(s):  
А.Н. Лыков
Keyword(s):  
Boundary Conditions ◽  
Coherence Length ◽  
Order Parameter ◽  
Landau Theory ◽  
Small Diameter ◽  
Superconducting Order Parameter ◽  
Superconducting Properties ◽  
Ginzburg Landau

The paper presents the results of a study of the properties of long cylindrical superconductors with a diameter of the order of coherence length ξ, performed in the framework of the Ginzburg-Landau theory (GL). Boundary conditions of general form are used for solution of the GL equa-tion for superconducting order parameter. Using such boundary conditions allows us to take into account the influence of the cylinder boundary on its superconducting properties. This ap-proach is important for small-diameter cylinders, whose properties significantly depend on the properties of their boundaries.

scholarly journals HEAVY QUARKONIUM IN THE DUAL GINZBURG–LANDAU THEORY OF QCD

1996 ◽  
Vol 11 (15) ◽  
pp. 2677-2688 ◽  
Author(s):  
KATSUHIKO SUZUKI ◽  
HIROSHI TOKI
Keyword(s):  
Gluon Propagator ◽  
Landau Theory ◽  
Light Quark ◽  
Pair Creation ◽  
Leptonic Decay ◽  
Heavy Quarkonium ◽  
Ginzburg Landau ◽  
Color Confinement ◽  
Decay Widths ◽  
The Masses

We study the masses and leptonic decay widths of the heavy quarkonium in the dual Ginzburg–Landau (DGL) theory of QCD, in which the Abelian monopole condensation plays an essential role for color confinement. The effect of color screening due to the light quark pair creation is introduced by the infrared momentum cutoff in the gluon propagator. We find that the color screening effect is important for reproducing the properties of the heavy quarkonium, in particular the leptonic decay width. We also discuss the underlying systematics of the heavy quark spectroscopy in the DGL theory.

scholarly journals Ginzburg-Landau theory of superconductors with short coherence length

1997 ◽  
Vol 56 (14) ◽  
pp. 9004-9014 ◽  
Author(s):  
S. Stintzing ◽  
W. Zwerger
Keyword(s):  
Coherence Length ◽  
Landau Theory ◽  
Ginzburg Landau

scholarly journals Possible Alterations of Local Gravitational Field Inside a Superconductor

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 193 ◽  
Author(s):  
Giovanni Alberto Ummarino ◽  
Antonio Gallerati
Keyword(s):  
Gravitational Field ◽  
Landau Theory ◽  
Time Dependent ◽  
Qualitative Comparison ◽  
Ginzburg Landau ◽  
High Tc ◽  
Gravitational Fields ◽  
Favorable Conditions

We calculate the possible interaction between a superconductor and the static Earth’s gravitational fields, making use of the gravito-Maxwell formalism combined with the time-dependent Ginzburg–Landau theory. We try to estimate which are the most favorable conditions to enhance the effect, optimizing the superconductor parameters characterizing the chosen sample. We also give a qualitative comparison of the behavior of high–Tc and classical low–Tc superconductors with respect to the gravity/superfluid interplay.

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