Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality
Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality
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强耦合有效希格斯势和 AdS/CFT 对偶性的一阶热相变
DOI：
10.1103/physrevd.71.126002
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发表时间：
2005
影响因子：
5
通讯作者：
Z. Guralnik
中科院分区：
文献类型：
--
作者：
R. Apreda;J. Erdmenger;N. Evans;Z. Guralnik
利用反de Sitter/共形场论对偶研究了Nf=2的强耦合[script N]=2超对称大Nc SU（Nc）规范理论的热力学性质.在有限的温度T和同位旋化学势μ下，在希格斯分支上产生了一个势，对应于反德西特描述中瞬子模空间上的一个势。对于μ=0，在临界温度Tc附近存在已知的一阶相变。我们发现，希格斯真空期望值是一个合适的序参量为这种转变，T>Tc，理论是驱动到一个非平凡点上的希格斯分支。对于μ[不等于]0和T=0，希格斯势从下面是无界的，由于玻色-爱因斯坦凝聚导致场论的不稳定性。
We use anti–de Sitter/conformal field theory duality to study the thermodynamics of a strongly coupled [script N]=2 supersymmetric large Nc SU(Nc) gauge theory with Nf=2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential µ, a potential on the Higgs branch is generated, corresponding to a potential on the moduli space of instantons in the anti–de Sitter description. For µ=0, there is a known first order phase transition around a critical temperature Tc. We find that the Higgs vacuum expectation value is a suitable order parameter for this transition; for T>Tc, the theory is driven to a nontrivial point on the Higgs branch. For µ[not-equal]0 and T=0, the Higgs potential is unbounded from below, leading to an instability of the field theory due to Bose-Einstein condensation.