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arXiv 0909.1296hep-thhep-ph
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色香味锁相全息模型的研究

Towards a Holographic Model of Color-Flavor Locking Phase

Heng-Yu Chen, Koji Hashimoto, Shunji Matsuura

摘要:

以N=4 SU(Nc)SYM与N=2 Nf基本超多重态耦合为例,给出了色味锁定相位的全息实现.引力对偶由Nc个D3-膜和Nf个D 7-膜组成,世界体积规范场代表重子密度。将少量\tilde{N} c << Nc的D3-膜看作D 7-膜上的杨-米尔斯瞬子,我们考虑它们的模空间上的可能势,或者等价地考虑希格斯分支。我们表明,一个非平凡的潜力,可以产生包括D 7-膜上的重子密度的反作用,这动态驱动的瞬子(= D3-膜)溶解。我们将其解释为色味锁定,因为瞬子的大小是夸克vev,并研究对称性破缺模式。扩展到有限的温度设置,我们证明,颜色风味锁定持续存在,和热效应提供了额外的结构在相图中。

英文摘要:

We demonstrate a holographic realization of color-flavor locking phase, using N=4 SU(Nc) SYM coupled to N=2 Nf fundamental hypermultiplets as an example. The gravity dual consists of Nc D3-branes and Nf D7-branes with world volume gauge field representing the baryon density. Treating a small number \tilde{N}c << Nc of D3-branes as Yang-Mills instantons on the D7-branes, we consider possible potential(s) on their moduli space or equivalently the Higgs branch. We show that a non-trivial potential can be generated by including the backreaction of the baryonic density on the D7-branes, this dynamically drives the instantons (= D3-branes) into dissolution. We interpret this as a color-flavor locking since the size of the instanton is the squark vev, and study the symmetry breaking patterns. Extending to finite temperature setup, we demonstrate that color-flavor locking persists, and the thermal effect provides additional structures in the phase diagram.

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