2010
DOI: 10.1103/physrevd.82.086011
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Improved soft-wall model with a negative dilaton

Abstract: I propose to change the sign of the dilaton in the infrared~(IR) soft-wall AdS/QCD model, in order to implement confinement. The deformed model exhibits interesting properties, especially in describing chiral symmetry breaking. The expectation value of the scalar field $X$, which determines the quark mass and condensate, approaches a constant in the IR limit, rather than blows up in the original model. In contrast to the estimate in Ref. \cite{Shifman:2007xn}, this kind of solution will not lead to chiral symm… Show more

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Cited by 39 publications
(36 citation statements)
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“…The positive dilaton solution has interesting physical implications, since it leads to a confining potential between heavy quarks [25] and to a convenient framework for describing chiral symmetry breaking. [26] It also leads to the identification of a nonperturbative effective strong coupling α s and β-functions which are in agreement with available data and lattice simulations. [27] In the presence of a dilaton profile exp(+κ 2 z 2 ) the wave equation for a spin J mode Φ(z) µ 1 ···µ J is given by [28] …”
Section: A Soft-wall Ads/qcd Model For Mesonssupporting
confidence: 80%
See 1 more Smart Citation
“…The positive dilaton solution has interesting physical implications, since it leads to a confining potential between heavy quarks [25] and to a convenient framework for describing chiral symmetry breaking. [26] It also leads to the identification of a nonperturbative effective strong coupling α s and β-functions which are in agreement with available data and lattice simulations. [27] In the presence of a dilaton profile exp(+κ 2 z 2 ) the wave equation for a spin J mode Φ(z) µ 1 ···µ J is given by [28] …”
Section: A Soft-wall Ads/qcd Model For Mesonssupporting
confidence: 80%
“…As for the case of the mesons Eq. (10) we write the LF Hamiltonian H ν LF = Π † ν Π ν + C and chose the same value for C: C = −4κ 2 , effectively modifying the wave equation (26). With this choice for C the LF Hamiltonian is…”
mentioning
confidence: 99%
“…From viewpoint of holography, the AdS/CFT correspondence can describe a "brocken conformal symmetry", when one adds a proper deformed warp factor in front of the AdS 5 metric structure [17,[42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61]. So, e cz 2 is a positive quadratic correction with z, the fifth dimension.…”
Section: Jhep06(2015)204mentioning
confidence: 99%
“…This property was exploited in Ref. [29] for a derivation of the linear confinement potential from the holographic approach and later triggered an active use of the SW models with inverse dilaton profile (see, e.g., [30,31]) in spite of a formal existence of massless vector mode [32]. Thus we see that the black hole and Wilson loop criteria for confinement are in conflict in the simplest version of the SW model.…”
Section: Discussionmentioning
confidence: 99%