非线性布朗运动与Higgs机制
Nonlinear Brownian Motion and Higgs Mechanism
摘要：
通过在场方程中加入非线性项，提出了一种扩展的随机量子化方案。我们的修改是基于最近建立的主动布朗运动理论。我们讨论了一种方法，促进这一理论的情况下，无限的自由度。平衡态分布可以精确计算，并解释为量子场论的路径积分密度。通过将我们的方法应用于标量QED，希格斯机制的对称性破缺势作为平衡解出现。
英文摘要：
An extension of the stochastic quantization scheme is proposed by adding nonlinear terms to the field equations. Our modification is motivated by the recently established theory of active Brownian motion. We discuss a way of promoting this theory to the case of infinite degrees of freedom. Equilibrium distributions can be calculated exactly and are interpreted as path integral densities of quantum field theories. By applying our procedure to scalar QED, the symmetry breaking potential of the Higgs mechanism arises as the equilibrium solution.
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