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

Punetha, Garima; Chandola, H. C.

doi:10.1051/epjconf/201920109009

Cited by 3 publications

(3 citation statements)

References 29 publications

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“…The theoretical description of QCD [16][17][18][19][20][21][22][23][24][25] within a symmetry preserving framework has been discussed. The homotomy 2 (G/H ) → 2 (SU (3)/U (1) ⊗ U (1)) produces the topological charges, obtaining the following form,…”

Section: Su(3) Dual Qcd Formulationmentioning

confidence: 99%

“…However, in order to resolve the exploration of the mechanism of DCSB from the theoretical point of view, the Schwinger-Dyson approach has been proposed in the present paper. Within the gauge-invariant framework of SU (3) dual QCD formalism [16], the solutions to the SDEs have been extracted which enables us to the study the behavior of the quark mass-function.…”

Section: Introductionmentioning

confidence: 99%

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Monopole Condensation and Dynamical Chiral Symmetry Breaking in Dual QCD Formulation

Punetha¹

2021

Springer Proceedings in Materials

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In the non-perturbative regime of SU (3) dual QCD, the phenomena of monopole condensation and dynamical chiral symmetry breaking (DCSB) have been studied, and a non-trivial solution to the dynamical breakdown of chiral symmetry has been obtained from QCD's Schwinger-Dyson equations (SDEs). The dynamically generated quark mass-function represents the fundamental expression to demonstrate DCSB and has been found to be directly proportional to the strong coupling constant and glueball masses. The DCSB appears to be strong for large values of coupling constant and vector glueball mass and therefore ensures QCD-monopole condensation responsible for the color confinement.

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Section: Su(3) Dual Qcd Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Monopole Condensation and Dynamical Chiral Symmetry Breaking in Dual QCD Formulation

Punetha¹

2021

Springer Proceedings in Materials

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“…Based on the non-abelian color gauge group, the non-trivial topological structure plays an essential role in the form of magnetic symmetry to establish the magnetically condensed vacuum necessary for the color confinement in QCD [42][43][44][45][46]. In the present section, the magnetic symmetry has been applied to S U(3) color gauge group which provide a complete mass spectrum of QCD and guarantees the dual Meissner effect for color confinement.…”

Section: Su(3) Dual Qcd Formulation and Quark Confinement Potentialmentioning

confidence: 99%

Dual Meissner Effect and Quark Confinement Potential in S U(3) Dual QCD Formalism

Punetha,

Chandola

2019

Preprint

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The mechanism of color confinement has been studied in the framework of SU (3) color gauge theory in terms of abelian fields and monopoles extracted by adopting magnetic symmetry. The existence of the mechanism of color confinement corresponds to the dual Meissner effect caused by monopoles. The two length scales, i.e. the penetration depth and coherence length are defined to demonstrate the scaling nature of the QCD vacuum and their ratio defines the Ginzburg-Landau parameter indicating the border of type I and type II dual superconductor. The existence of these two length scales describes the intrinsic shape of the confining flux-tube and is a characteristic of the dual superconductor model of confinement in QCD. As a result, the quark confining potential has been computed and the resulting expression of string tension has been constructed in the infrared sector of SU (3) Dual QCD formulation. Moreover, with the introduction of dynamical quarks the flux tube breaks and leads to the creation of quark anti-quark pairs. Finite temperature quark confining potential and the associated string tension has also been extracted which demonstrates a considerable reduction in the vicinity of critical temperature showing agreement with the recent lattice studies.

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Dual QCD thermodynamics at finite temperature and chemical potential

Punetha¹,

Bandyopadhyay

Bisht

2022

Int. J. Mod. Phys. A

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A Dual QCD formulation for [Formula: see text] color gauge has been developed in terms of dual gauge potentials, building on our previously published study for the [Formula: see text] case with zero bario-chemical potential [H. C. Chandola, G. Punetha and H. Dehnen, Nucl. Phys. A 945, 226 (2016).] and taking into account the local as well as topological structure of the color gauge group into its dynamics. For the purpose of examining the nonperturbative characteristics of QCD, the dynamical configuration of the resulting dual QCD vacuum and its flux tube configuration have been examined. The thermal behavior of the nonperturbative QCD vacuum has been investigated for exploring the dynamics of quark-hadron phase transition at finite chemical potential. Related thermodynamic quantities and equation of state (EoS) to characterize quark matter have also been discussed within the framework of dual QCD-based hadronic bag which guarantees the critical parameters and the associated critical points for quark-hadron phase transition. These thermodynamic quantities are expected to play important roles in understanding the order of quark-hadron phase transition and are likely to predict the features of a first-order quark-hadron phase transition for finite chemical potential. Moreover, we have investigated the bulk properties of quark matter by constructing the free energy change and the associated surface tension for quark-hadron phase transition. For consistency and compatibility check, we have also compared our results with state-of-the-art three-loop Hard Thermal Loop perturbative results and available lattice QCD results and in the process found reasonable agreements.

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

Cited by 3 publications

References 29 publications

Monopole Condensation and Dynamical Chiral Symmetry Breaking in Dual QCD Formulation

Monopole Condensation and Dynamical Chiral Symmetry Breaking in Dual QCD Formulation

Dual Meissner Effect and Quark Confinement Potential in S U(3) Dual QCD Formalism

Dual QCD thermodynamics at finite temperature and chemical potential

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