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.

Topology of QCD vacuum and color confinement

2002 ◽  
Vol 80 (7) ◽  
pp. 745-754 ◽  
Author(s):  
H C Chandola ◽  
H C Pandey ◽  
H Nandan
Keyword(s):  
Unit Length ◽  
Cylindrical Symmetry ◽  
Gauge Potential ◽  
Dynamical Structure ◽  
Field Equations ◽  
Abelian Gauge ◽  
Qcd Vacuum ◽  
Color Confinement ◽  
Restricted Form ◽  
Magnetic Symmetry

Using the magnetic symmetry structure of non-Abelian gauge theories of the Yang–Mills type, the mathematical foundation of dual chromodynamics in fiber-bundle form is discussed. The dual gauge potential in its restricted form is constructed in terms of magnetic vectors on global sections, which has been shown to lead the dual dynamics between topological charges and color isocharges. Constructing the Lagrangian for such dual theory, the dynamical breaking of magnetic symmetry by an effective potential is shown to push the QCD vacuum in a confining phase. The dynamical structure of the theory is investigated by deriving the field equations associated with the confining phase. The associated flux-tube structure responsible for the confinement is analyzed by computing the asymptotic string solutions of the field equations under cylindrical symmetry. Using the confining part of the dual restricted Lagrangian, the finite string energy per unit length is calculated and its implications on color confinement are discussed. PACS Nos.: 11.38Aw, 14.80Hv, 11.30Jw

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.

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.

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 Regge trajectories of exotic hadrons in the flux tube model

2016 ◽  
Vol 31 (04n05) ◽  
pp. 1650007 ◽  
Author(s):  
Hemwati Nandan ◽  
Akhilesh Ranjan
Keyword(s):  
Flux Tube ◽  
Tube Model ◽  
Lattice Data ◽  
High Rotational Speed ◽  
Quark Masses ◽  
Regge Trajectories ◽  
Linear Behavior ◽  
Exotic Hadrons ◽  
Tube Structure ◽  
Current Quark

We have investigated the Regge trajectories of exotic hadrons by considering different possible pentaquark configurations with finite quark mass in the flux tube model. Significant deviation is observed in the linear behavior of the Regge trajectories for pentaquark systems in view of the universal value of the Regge slope parameter for hadrons. The modified Regge trajectories are also compared with the available experimental and lattice data. It is observed that the nonlinear Regge trajectories of such pentaquark systems can be well described by the relativistic corrections in view of the current quark masses and the high rotational speed of the quarks at the end of flux tube structure.

scholarly journals Instantons in the nonperturbative QCD vacuum

2004 ◽  
Vol 67 (2) ◽  
pp. 376-390 ◽  
Author(s):  
N. O. Agasian ◽  
S. M. Fedorov
Keyword(s):  
Qcd Vacuum ◽  
Nonperturbative Qcd

scholarly journals Effective Potential Formalism at Finite Temperature in Dual QCD and Deconfilnement Phase Transition

2019 ◽  
Vol 201 ◽  
pp. 09009
Author(s):  
Garima Punetha ◽  
H. C. Chandola
Keyword(s):  
Phase Transition ◽  
Thermal Effects ◽  
Effective Theory ◽  
Qcd Phase Transition ◽  
First Order ◽  
Pure Gauge ◽  
Qcd Vacuum ◽  
Magnetic Symmetry ◽  
Deconfinement Phase Transition ◽  
Potential Formalism

We study the pure-gauge QCD phase transition at filnite temperatures in the dual QCD theory, an effective theory of QCD based on the magnetic symmetry. We formulate the effective thermodynamical potential for filnite temperatures using the path-integral formalism in order to investigate the properties of the pure-gauge QCD vacuum. Thermal effects bring a first-order deconfinement phase transition.

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