scholarly journals Dual models of QCD and their implications

2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Deepak Bhatt ◽  
H.C. Chandol ◽  
Deependra Singh Rawat ◽  
H.C. Pandey
Keyword(s):  
Symmetry Breaking ◽  
Flux Tube ◽  
Zero Temperature ◽  
Projection Technique ◽  
Confinement Potential ◽  
Qcd Vacuum ◽  
Magnetic Symmetry ◽  
Magnetic Potentials ◽  
Dual Models

Some of the dual formulations of QCD are reviewed and analyzed for their possible implications especially in non-perturbative sector of QCD at zero temperature. Starting from the Nambu-Mandelstam idea and the ’t Hooft Abelian Projection technique, the effective formulations of QCD like the dual GinzburgLandau formulation and magnetic symmetry based dual QCD formulation have been analyzed in which dual magnetic potentials coupled with monopole field act as fundamental variables. The dual dynamics associated with these models is discussed in the quenched approximation and the analysis of symmetry breaking , flux tube configurations, confinement potential and nature of dual QCD vacuum is presented which establishes magnetic symmetry based dual QCD formulation as a more effective topological viable formulation for analysing the non-perturbative aspects of QCD.

scholarly journals Dual models of QCD and their implications

2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Deepak Bhatt ◽  
H.C. Chandola ◽  
Deependra Singh Rawat ◽  
H.C. Pandey
Keyword(s):  
Symmetry Breaking ◽  
Flux Tube ◽  
Zero Temperature ◽  
Projection Technique ◽  
Confinement Potential ◽  
Qcd Vacuum ◽  
Magnetic Symmetry ◽  
Magnetic Potentials ◽  
Dual Models

Some of the dual formulations of QCD are reviewed and analyzed for their possible implications especially in non-perturbative sector of QCD at zero temperature. Starting from the Nambu-Mandelstam idea and the ’t Hooft Abelian Projection technique, the effective formulations of QCD like the dual GinzburgLandau formulation and magnetic symmetry based dual QCD formulation have been analyzed in which dual magnetic potentials coupled with monopole field act as fundamental variables. The dual dynamics associated with these models is discussed in the quenched approximation and the analysis of symmetry breaking , flux tube configurations, confinement potential and nature of dual QCD vacuum is presented which establishes magnetic symmetry based dual QCD formulation as a more effective topological viable formulation for analysing the non-perturbative aspects of QCD.

DYONIC FLUX TUBE STRUCTURE OF NONPERTURBATIVE QCD VACUUM

2003 ◽  
Vol 18 (09) ◽  
pp. 1623-1635 ◽  
Author(s):  
H. C. CHANDOLA ◽  
H. C. PANDEY
Keyword(s):  
Flux Tube ◽  
Input Parameter ◽  
Gauge Potential ◽  
Field Equations ◽  
Pair Correlations ◽  
Qcd Vacuum ◽  
Nonperturbative Qcd ◽  
Magnetic Symmetry ◽  
Tube Structure ◽  
Dyonic Condensation

We study the flux tube structure of the nonperturbative QCD vacuum in terms of its dyonic excitations by using an infrared effective Lagrangian and show that the dyonic condensation of QCD vacuum has a close connection with the process of color confinement. Using the fiber bundle formulation of QCD, the magnetic symmetry condition is presented in a gauge covariant form and the gauge potential has been constructed in terms of the magnetic vectors on global sections. The dynamical breaking of the magnetic symmetry has been shown to lead the dyonic condensation of QCD vacuum in the infrared energy sector. Deriving the asymptotic solutions of the field equations in the dynamically broken phase, the dyonic flux tube structure of QCD vacuum is explored which has been shown to lead the confinement parameters in terms of the vector and scalar mass modes of the condensed vacuum. Evaluating the charge quantum numbers and energy associated with the dyonic flux tube solutions, the effect of electric excitation of monopole is analyzed using the Regge slope parameter (as an input parameter) and an enhancement in the dyonic pair correlations and the confining properties of QCD vacuum in its dyonically condensed mode has been demonstrated.

scholarly journals Nonperturbative and Thermal Dynamics of Confined Fields in Dual QCD

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
H. C. Chandola ◽  
Deependra Singh Rawat ◽  
Dinesh Yadav ◽  
H. C. Pandey ◽  
H. Dehnen
Keyword(s):  
Electric Field ◽  
Flux Tube ◽  
Near Infrared ◽  
Lead Ion ◽  
Condensed State ◽  
Large Sphere ◽  
Thermal Dynamics ◽  
Flux Tubes ◽  
Qcd Vacuum ◽  
Magnetic Symmetry

In order to study the detailed dynamics and associated nonperturbative features of QCD, a dual version of the color gauge theory based on a topologically viable homogeneous fibre bundle approach has been analysed taking into account its magnetic symmetry structure. In the dynamically broken phase of magnetic symmetry, the associated flux tube structure on a S2 sphere in the magnetically condensed state of the dual QCD vacuum has been analyzed for the profiles of the color electric field using flux quantization and stability conditions. The color electric field has its intimate association with the vector mode of the magnetically condensed QCD vacuum, and such field configurations have been analyzed to show that the color electric flux gets localized towards the poles for a large sphere case while it gets uniformly distributed for the small sphere case in the infrared sector of QCD. The critical flux tube densities have been computed for various couplings and are shown to be in agreement with that for lead-ion central collisions in the near infrared sector of QCD. The possible annihilation/unification of flux tubes under some typical flux tube density and temperature conditions in the magnetic symmetry broken phase of QCD has also been analyzed and shown to play an important role in the process of QGP formation. The thermal variation of the profiles of the color electic field is further investigated which indicates the survival of flux tubes even in the thermal domain that leads the possibility of the formation of some exotic states like QGP in the intermediate regime during the quark-hadron phase transition.

CRITICAL PARAMETERS OF PHASE TRANSITION IN DUAL QCD

2005 ◽  
Vol 20 (13) ◽  
pp. 2743-2752 ◽  
Author(s):  
H. C. CHANDOLA ◽  
DINESH YADAV ◽  
H. C. PANDEY ◽  
H. DEHNEN
Keyword(s):  
Phase Transition ◽  
Flux Tube ◽  
Intermediate Energy ◽  
Critical Parameters ◽  
Critical Flux ◽  
Flux Tubes ◽  
Qcd Vacuum ◽  
Color Confinement ◽  
Magnetic Symmetry ◽  
Dynamical Breaking

Color confinement is studied in dual version of SU (2) color gauge theory using its topological structure and the dynamical breaking of the magnetic symmetry which has been shown to effectively trigger the QCD monopole condensation in a dynamical way. The resulting flux tube structure of the QCD vacuum is explored which has been shown to lead to the perfect dual superconducting nature to the QCD vacuum in its dynamically broken phase. The analysis of the flux tube energy at different hadronic length scales has been shown to lead to the appearance of the strong confinement forces in QCD vacuum at large hadronic distances and an indication for the deconfinement phase at small scales. The analysis of the flux tube energy is then used to compute numerically the critical radius and the critical flux tube density of the phase transition from the flux tube phase to deconfined one inside hadrons. The numerical estimates are shown to be in fairly good agreement with the analytical values. The possible implications of these critical parameters on the formation of QGP as a result of the flux tubes fusion in intermediate energy regime are also discussed.

Two classes of dual models with spontaneous symmetry breaking

1972 ◽  
Vol 48 (2) ◽  
pp. 525-536 ◽  
Author(s):  
John H. Schwarz
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Dual Models

Entangled exchange-spring magnetic structure driven by surface magnetic symmetry-breaking in Cr2O3 nanoparticles

2022 ◽  
Author(s):  
Natalia Rinaldi-Montes ◽  
Pedro Gorria ◽  
Antonio Benito Fuertes ◽  
David Martínez-Blanco ◽  
Zakariae Amghouz ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Physical Properties ◽  
Magnetic Structure ◽  
Room Temperature ◽  
Spontaneous Magnetization ◽  
Electric Polarization ◽  
Exchange Spring ◽  
Cr2o3 Nanoparticles ◽  
Magnetic Symmetry ◽  
Electric Effect

Bulk Cr2O3 is an antiferromagnetic oxide that exhibits the magneto-electric effect at room temperature, with neither spontaneous magnetization nor net electric polarization. These physical properties stem from a subtle competition...

Dual models and spontaneous symmetry breaking

1974 ◽  
Vol 68 (2) ◽  
pp. 331-348 ◽  
Author(s):  
K. Bardakçi
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Dual Models

Symmetry breaking in the Hubbard model at zero temperature

1993 ◽  
Vol 47 (5) ◽  
pp. 2901-2904
Author(s):  
Gang Su
Keyword(s):  
Symmetry Breaking ◽  
Hubbard Model ◽  
Zero Temperature

COLOR CONFINEMENT AND FINITE TEMPERATURE QCD PHASE TRANSITION

2004 ◽  
Vol 19 (02) ◽  
pp. 271-285 ◽  
Author(s):  
H. C. PANDEY ◽  
H. C. CHANDOLA ◽  
H. DEHNEN
Keyword(s):  
Phase Transition ◽  
Critical Temperature ◽  
Effective Potential ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Zero Temperature ◽  
Expectation Value ◽  
Qcd Phase Transition ◽  
Qcd Vacuum ◽  
Color Confinement

We study an effective theory of QCD in which the fundamental variables are dual magnetic potentials coupled to the monopole field. Dual dynamics are then used to explain the properties of QCD vacuum at zero temperature as well as at finite temperatures. At zero temperature, the color confinement is realized through the dynamical breaking of magnetic symmetry, which leads to the magnetic condensation of QCD vacuum. The flux tube structure of SU(2) QCD vacuum is investigated by solving the field equations in the low energy regimes of the theory, which guarantees dual superconducting nature of the QCD vacuum. The QCD phase transition at finite temperature is studied by the functional diagrammatic evaluation of the effective potential on the one-loop level. We then obtained analytical expressions for the vacuum expectation value of the condensed monopoles as well as the masses of glueballs from the temperature dependent effective potential. These nonperturbative parameters are also evaluated numerically and used to determine the critical temperature of the QCD phase transition. Finally, it is shown that near the critical temperature (Tc≃0.195 GeV ), continuous reduction of vacuum expectation value (VEV) of the condensed monopoles caused the disappearance of vector and scalar glueball masses, which brings a second order phase transition in pure SU(2) gauge QCD.

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