We develop a previously proposed gauge-invariant method to integrate outinfinite towers of vector and axialvector mesons arising as Kaluza-Klein (KK)modes in a class of holographic models of QCD (HQCD). We demonstrate that HQCDcan be reduced to the chiral perturbation theory (ChPT) with the hidden localsymmetry (HLS) (so-called HLS-ChPT) having only the lowest KK mode identifiedas the HLS gauge boson, and the Nambu-Goldstone bosons. The ${\cal O} (p^4)$terms in the HLS-ChPT are completely determined by integrating out infinitetowers of vector/axialvector mesons in HQCD: Effects of higher KK modes arefully included in the coefficients. As an example, we apply our method to theSakai-Sugimoto model.
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机译：我们开发了一种先前提出的规范不变方法，以将在一维QCD（HQCD）全息模型中作为Kaluza-Klein（KK）模式产生的矢量和轴向矢量介子的无限塔进行积分。我们证明，HQCD可以简化为具有隐性局部对称性（HLS）（所谓的HLS-ChPT）的手性摄动理论（ChPT），该隐式局部对称性（HLS）仅具有确定为HLS规范玻色子和Nambu-Goldstone玻色子的最低KK模式。 HLS-ChPT中的$ {\ cal O}（p ^ 4）$项是通过将HQCD中的矢量/轴向矢量介子的无限塔积分而完全确定的：较高KK模式的影响完全包含在系数中。例如，我们将我们的方法应用于酒井Sa本模型。
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