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Sound modes in holographic hydrodynamics for charged AdS black hole
Matsuo, Y.,Sin, S.J.,Takeuchi, S.,Tsukioka, T.,Yoo, C.M. North Holland 2009 Nuclear Physics, Section B Vol.820 No.3
In the previous paper we studied the transport coefficients of quark-gluon plasma in finite temperature and finite density in vector and tensor modes. In this paper, we extend it to the scalar modes. We work out the decoupling problem and hydrodynamic analysis for the sound mode in charged AdS black hole and calculate the sound velocity, the charge susceptibility and the electrical conductivity. We find that Einstein relation among the conductivity, the diffusion constant and the susceptibility holds exactly.
Conformal symmetry for rotating D-branes
Cao, L.M.,Matsuo, Y.,Tsukioka, T.,Yoo, C.M. North-Holland Pub. Co 2009 Physics letters: B Vol.679 No.4
We apply the Kerr/CFT correspondence to the rotating black p-brane solutions. These solutions give the simplest examples from string theory point of view. Their near horizon geometries have structures of AdS, even though black p-brane solutions do not have AdS-like structures in the non-rotating case. The microscopic entropy which can be calculated via the Cardy formula exactly agrees with Bekenstein-Hawking entropy.
On microscopic structure of the QCD vacuum
Pak, D.G.,Lee, Bum-Hoon,Kim, Youngman,Tsukioka, Takuya,Zhang, P.M. Elsevier 2018 Physics letters: B Vol.780 No.-
<P><B>Abstract</B></P> <P>We propose a new class of regular stationary axially symmetric solutions in a pure QCD which correspond to monopole–antimonopole pairs at macroscopic scale. The solutions represent vacuum field configurations which are locally stable against quantum gluon fluctuations in any small space–time vicinity. This implies that the monopole–antimonopole pair can serve as a structural element in microscopic description of QCD vacuum formation.</P>
Gauge invariant gluon spin operator for spinless nonlinear wave solutions
Lee, Bum-Hoon,Kim, Youngman,Pak, D. G.,Tsukioka, Takuya,Zhang, P. M. World Scientific Publishing Company 2017 International Journal of Modern Physics A Vol.32 No.11
<P>We consider nonlinear wave type solutions with intrinsic mass scale parameter and zero spin in a pure <I>SU</I>(2) quantum chromodynamics (QCD). A new stationary solution which can be treated as a system of static Wu-Yang monopole dressed in off-diagonal gluon field is proposed. A remarkable feature of such a solution is that it possesses a finite energy density everywhere. All considered nonlinear wave type solutions have common features: presence of the mass scale parameter, nonvanishing projection of the color fields along the propagation direction and zero spin. The last property requires revision of the gauge invariant definition of the spin density operator which is supposed to produce spin one states for the massless vector gluon field. We construct a gauge invariant definition of the classical gluon spin density operator which is unique and Lorentz frame independent.</P>
Quantum stability of nonlinear wave type solutions with intrinsic mass parameter in QCD
Kim, Youngman,Lee, Bum-Hoon,Pak, D. G.,Park, Chanyong,Tsukioka, Takuya American Physical Society 2017 Physical Review D Vol.96 No.5
<P>The problem of the existence of a stable vacuum field in pure QCD is revised. Our approach is based on using classical stationary nonlinear wave type solutions with an intrinsic mass scale parameter. Such solutions can be treated as quantum-mechanical wave functions describing massive spinless states in quantum theory. We verify whether nonlinear wave type solutions can form a stable vacuum field background within the framework of the effective action formalism. We demonstrate that there is a special class of stationary generalized Wu-Yang monopole solutions that are stable against quantum gluon fluctuations.</P>