Approximations for strongly-coupled supersymmetric quantum mechanics
Approximations for strongly-coupled supersymmetric quantum mechanics
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DOI：
10.1016/s0550-3213(99)00818-4
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发表时间：
2000-04-03
影响因子：
2.8
通讯作者：
Lifschytz, G
中科院分区：
文献类型：
--
作者：
Kabat, D;Lifschytz, G
我们提倡使用一组近似值来研究 0 + 1 维强耦合理论的有限温度行为。该近似包括围绕高斯作用展开，高斯作用的宽度由一组间隙方程确定。如果间隙方程是在超空间中表述的，则该近似可以应用于超对称系统。通过仅保留对能隙方程的平面贡献，它可以应用于大 N 理论。我们分析了标量超对称量子力学的几种模型，并表明高斯近似正确地区分了模空间、质量隙和强耦合下的超对称破缺。然后我们将近似应用于玻色子大高规范理论，并认为格罗斯-威滕转变将弱耦合和强耦合状态分开。类似的转变应该发生在通用的大 N 规范理论中，特别是在 0 膜量子力学中。 (C) 2000 Elsevier Science B.V. 保留所有权利。
We advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0 + 1 dimensions. The approximation consists of expanding about a Gaussian action, with the width of the Gaussian determined by a set of gap equations. The approximation can be applied to supersymmetric systems, provided that the gap equations are formulated in superspace. It can be applied to large-N theories, by keeping just the planar contribution to the gap equations.We analyze several models of scalar supersymmetric quantum mechanics, and show that the Gaussian approximation correctly distinguishes between a moduli space, mass gap, and supersymmetry breaking at strong coupling. Then we apply the approximation to a bosonic large-hi gauge theory, and argue that a Gross-Witten transition separates the weak-coupling and strong-coupling regimes. A similar transition should occur in a generic large-N gauge theory, in particular in 0-brane quantum mechanics. (C) 2000 Elsevier Science B.V. All rights reserved.