Quark Confinement through Dyonic Condensation

Rana, J. M. S.; Chandola, H. C.; Rajput, B. S.

doi:10.1143/ptp.82.153

Cited by 25 publications

(11 citation statements)

References 2 publications

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“…As such, the dynamical breaking of the magnetic symmetry in this theory ultimately induces the generalized Meissner effect with its electric constituent as usual, the Meissner effect, and its magnetic constituent as usual, the dual Meissner effect. It dictates the mechanism for confinement of the electric and magnetic fluxes associated with dyonic quarks (12) in the present theory. Among others, an important property of the QCD Lagrangian is that it is ultraviolet finite, and infrared unstable.…”

Section: Dyonic Condensation and Quark Confinementmentioning

confidence: 91%

“…Furthermore, Mandelstam (8) has shown that condensation of the magnetic monopoles of a Q C D vacuum could produce the dual Meissner effect leading to the confinement of the color electric flux carried by the quarks. Based on this idea, we recently (9, 10) constructed, out of SU(2) QCD, a dual gauge theory called restricted chromodynamics (1 1) (RCD), which could produce a dynamical dyonic (electric as well as magnetic) condensation (12) and exhibit the desired dual dynamics (1 3-15) that guarantee the confinement of dyonic quarks through the generalized Meissner effect. This RCD is extracted from Q C D by imposing an additional internal symmetry, i.e., the magnetic symmetry (I 1) that reduces the dynamical degrees of freedom and hence there remains the unsettled questions regarding the physical spectrum of RCD and the confinement if one removes the magnetic symmetry and reactivates the suppressed dynamical degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

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The quark confinement in extended gauge theory

Rana¹,

Chandola²,

Rajput³

1991

Can. J. Phys.

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To investigate the possible physical implications of the topological structure of non-Abelian dyons in connection with the issue of quark confinement in quantum chromodynamics (QCD), extended gauge theory is formulated in SU(2) and SU(3) gauge groups from the corresponding restricted chromodynamics (RCD) by reactivating the suppressed dynamical degrees of freedom and constructing the gauge potential in terms of the binding gluons (the RCD piece) and the valence gluons (the reactivated piece). It is shown that in this extended QCD, the confinement mechanism of the corresponding RCD remains intact. The physical spectrum contains color-singlet generalized electric glueballs made of valence gluon pairs as well as the generalized magnetic glueballs as massive collective modes of the condensed vacuum.Dans le but d'ktudier les implications physiques possibles de la structure topologique des dyons non abtliens, en relation avec le probleme du confinement des quarks en chromodynamique quantique (CDQ), on a formule une extension de la thtorie de jauge dans les groupes de jauge SU(2) et SU(3), a partir de la chromodynamique restreinte (CDR) correspondante, en riactivant les degrts de IibertC dynamiques supprimes et en construisant le potentiel de jauge en termes de gluons de liaison (la portion CDR) et de gluons valence (la portion rCactivCe). On a montrt que dans cette CDR gtntralisee, le mtcanisme de confinement de la CDR correspondante reste intact, et que le spectre physique contient aussi les singulets de gluons de couleur tlectrique gCneralises faits de paires de gluons de valence, en plus des groupes de gluons magnetiques generalists, comme modes collectifs massifs du vide condense.[Traduit par la redaction]Can.

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Section: Dyonic Condensation and Quark Confinementmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

The quark confinement in extended gauge theory

Rana¹,

Chandola²,

Rajput³

1991

Can. J. Phys.

Self Cite

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“…So the topological structure ofm may be identified with the topological pointlike objects of the underlying non-Abelian gauge symmetry. As such, when the second homotopy 2 (G/H ) defined bym is nontrivial, the gauge potential V µ becomes in a way dual so that the part of it that is completely fixed by magnetic symmetric requirement describes pointlike colored topological structures while the unrestricted part describes conventional dyonic objects (quarks) [14].…”

Section: Restricted Quantum Chromodynamics: An Overviewmentioning

confidence: 99%

“…Since the Lagrangian (15) does not have any additional degrees of freedom, there seems to be no other way than to introduce an extra degree of freedom in RCD in terms of a scalar field φ. Following Mandelstam [8] and 't Hooft [8], we describe [14] the dyonic source in RCD by a complex field operator φ, as a result the RCD Lagrangian (15) is modified to…”

Section: Restricted Quantum Chromodynamics: An Overviewmentioning

confidence: 99%

“…Based on these ideas, we have recently [14] formulated QCD as a dual gauge theory called restricted quantum chromodynamics (RCD), which can produce dynamical dyonic condensation for its vacuum and at the same time exhibit the desired dual dynamics that guarantee the confinement of the colored fluxes associated with dyonic quarks through the mechanism of the generalized Meissner effect. Furthermore, the possible physical implications of the topological structure of non-Abelian dyons have been investigated by formulating extended gauge theory [15], the quarks have been interpreted as dyons, and the hadron spectrum has been explained accordingly [16].…”

Section: Introductionmentioning

confidence: 99%

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Duality and color confinement in restricted gauge theory

Rana

2000

Can. J. Phys.

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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/k 4 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 semiquantitatively, 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.Résumé : Tablant sur la dualité électromagnétique, nous avons étudié (en RCD) les interactions isocouleurs charge-dyon en terme de corrélations courant-courant dans une jauge magnétique utilisant les paramètres diélectrique et de perméabilité. Le comportement en 1/k 4 des propagateurs qui en résulte est interprété comme une signature du confinement des flux colorés de la théorie. Évaluant semi-quantativement les solutions vortex de RCD et en accord avec la théorie de Higgs-Landau-Ginzburg, nous avons obtenu des expressions pour la profondeur de pénétration de London, la longueur de cohérence et les fonctions de flux d'énergie associé pour des supraconducteurs de type I et II. Nous analysons une analogie entre le type de supraconducteur dans le modèle du sac et les hadrons dans la théorie des cordes. [Traduit par la rédaction]

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Charge spectra of dyonic quarks

Rana

Rajput

1993

Int J Theor Phys

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Quark Confinement through Dyonic Condensation

Cited by 25 publications

References 2 publications

The quark confinement in extended gauge theory

The quark confinement in extended gauge theory

Duality and color confinement in restricted gauge theory

Charge spectra of dyonic quarks

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