Confinement and pseudoscalar glueball spectrum in the 
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 QCD-like theory from the non-SUSY 
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 brane

Chakraborty, Adrita; Nayek, Kuntal

doi:10.1103/physrevd.103.066001

Cited by 2 publications

(15 citation statements)

References 37 publications

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“…The Q Q potential is linearly proportional to this spatial length and therefore confirms of the confinement property of the theory herein. The coefficient multiplied with ∆x has dimension of string tension, which is identified as the QCD string tension σ and is expressed as [9]…”

Section: Confinementmentioning

confidence: 99%

“…Since γ is always positive, it exists only if Σ > 1 or 5δ + 4γ > 5δ − 4γ. Then the allowed parametric regime shrinks to 2 [9] by varying the background parameter δ at the entirely nonperturbative regime of the theory that is ensured by taking u 2 = g 2 Y M N c . Now the theoretical value of √ σ is 0.1995 for pure Yang-Mills theory.…”

Section: Confinementmentioning

confidence: 99%

“…Here due to the technical restrictions of WKB aproximation, we calculate first few energy states of the spectrum. In the Table 2, we have listed the dimensionless scaled mass m for different δ, where the actual mass M 0 −+ is m u 3 2 /L [9]. The mass values have been found to increase with the increasing values of δ.…”

Section: Mass Spectrum Of Pseudoscalar 0 −+ Glueballsmentioning

confidence: 99%

“…Therefore in this aspect, the calculated mass values show the consistency with the nature of QCD-like theories. We also evaluate the ratio M 0 −+ / √ σ for n = 0, 1, 2 states in the complete non-perturbative region [9] and this put forth an emperical relation of pseudoscalar glueball masses to the QCD flux-tube tension as…”

Section: Mass Spectrum Of Pseudoscalar 0 −+ Glueballsmentioning

confidence: 99%

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Confinement and Pseudoscalar Glueball Spectrum in the 2 + 1D QCD-Like Theory from the Non-Susy D2 Brane

Chakraborty

2022

EPJ Web Conf.

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We study two important properties of 2+1D QCD, namely confinement and Pseudoscalar glueball spectrum, using holographic approach. The confined state of the bounded quark-antiquark pair occurs in the self-coupling dominated nonperturbative regime, where the free gluons form the bound states, known as glueballs. The gauge theory corresponding to low energy decoupled geometry of isotropic non-supersymmetric D2 brane, which is again similar to the 2+1D YM theory, has been taken into account but in this case the coupling constant is found to vary with the energy scale. At BPS limit, this theory reduces to supersymmetric YM theory. We have considered NG action of a test string and calculate the potential of such confined state located on the boundary. The QCD flux tube tension for large quark-antiquark separation is observed to be a monotonically increasing function of running coupling. The mass spectrum of Pseudoscalar glueball is evaluated numerically from the fluctuations of the axion in the gravity theory using WKB approximation. This produces the mass to be related to the string tension and the levels of the first three energy states. The various results that we obtained quite match with those previously studied through the lattice approach.

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Section: Confinementmentioning

confidence: 99%

Section: Confinementmentioning

confidence: 99%

Section: Mass Spectrum Of Pseudoscalar 0 −+ Glueballsmentioning

confidence: 99%

Section: Mass Spectrum Of Pseudoscalar 0 −+ Glueballsmentioning

confidence: 99%

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Confinement and Pseudoscalar Glueball Spectrum in the 2 + 1D QCD-Like Theory from the Non-Susy D2 Brane

Chakraborty

2022

EPJ Web Conf.

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“…Further, taking the Q − Q separation large enough we find the linear potential and the flux tube tension. As the anisotropy parameter is zero, we can recover the flux tube tension of the isotropic background [29]. In the next part we take the axion field's fluctuation in this gravity background.…”

mentioning

confidence: 99%

Confinement and Pseudoscalar Glueball Spectrum from Anisotropic Non-susy D$2$ Brane under Hawking-Page transition

Chakraborty¹,

Nayek²

2021

Preprint

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Here we analyse the low energy confining phase of the 2+1 dimensional quenched QCD-like theory in anisotropic non-supersymmetric D2 brane background with the holographic approach. Two key features of QCD -flux-tube tension and mass spectrum of pseudoscalar glueball are studied. The non-supersymmetric D2 branes with anisotropy in time direction are considered as the gravity theory. Tuning the anisotropic parameter, we get the Hawking-Page transition in the gravity background. On the dual theory, this refers the confinement-deconfinement phase transition. Using the Wilson loop, the linear confinement at this regime is effectively confirmed by calculating the flux tube tension σ from the Nambu-Goto action of a test string with its endpoints located at the boundary. In the next part, we have illustrated numerically the mass spectrum M 0 −+ of the pseudoscalar glueball states. We have found, at the transition point, that the glueball mass becomes trivially small. Finally we relate the anisotropy parameter with the temperature and show the variation of the glueball mass at various temperature. Using the Lattice QCD data of √ σ, it is found that M 0 −+ = 2.3GeV and M * 0 −+ = 3.8GeV at T = 0 whereas M 0 −+ = 0.9GeV and M * 0 −+ = 1.1GeV at T = Tc.

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Confinement and pseudoscalar glueball spectrum in the 2+1D QCD-like theory from the non-SUSY D2 brane

Cited by 2 publications

References 37 publications

Confinement and Pseudoscalar Glueball Spectrum in the 2 + 1D QCD-Like Theory from the Non-Susy D2 Brane

Confinement and Pseudoscalar Glueball Spectrum in the 2 + 1D QCD-Like Theory from the Non-Susy D2 Brane

Confinement and Pseudoscalar Glueball Spectrum from Anisotropic Non-susy D$2$ Brane under Hawking-Page transition

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