扩展相空间SUSY的经典模拟及其破缺
Classical analog of extended phase space SUSY and its breaking
摘要：
我们导出了奇自由度粒子的扩展相空间量子力学的经典模拟，它产生了（N=2）-超对称实现（SUSY）代数。通过迭代的方法，我们找到了扩展的类薛定谔方程的近似基态解，并利用这些解进一步计算了衡量扩展超对称性破缺的参数，如基态能量.因此，我们计算了一个更实际的措施，超对称性破缺，这是一个辅助场的期望值。分析了瞬子图中扩展相空间超对称性破缺的非微扰机制，指出这是由理论中经典真空之间的隧穿引起的。特别注意的代数性质的形状不变性和频谱生成代数。
英文摘要：
We derive the classical analog of the extended phase space quantum mechanics of the particle with odd degrees of freedom which gives rise to (N=2)-realization of supersymmetry (SUSY) algebra. By means of an iterative procedure, we find the approximate groundstate solutions to the extended Schrödinger-like equation and use these solutions further to calculate the parameters which measure the breaking of extended SUSY such as the groundstate energy. Consequently, we calculate a more practical measure for the SUSY breaking which is the expectation value of an auxiliary field. We analyze non-perturbative mechanism for extended phase space SUSY breaking in the instanton picture and show that this has resulted from tunneling between the classical vacua of the theory. Particular attention is given to the algebraic properties of shape invariance and spectrum generating algebra.
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