论文标题
域壁非线性量化
Domain wall nonlinear quantization
论文作者
论文摘要
考虑了域壁的非线性量化（Codimension 1的相对论膜）。膜灰尘方程被认为是汉密尔顿 - 雅各比方程的类似物，这使我们能够构建其量子类似物。所得方程具有非线性klein fock-gordon方程的形式。它可以解释为量子域壁的平均场近似。对于小扰动（在线性近似中）获得了分散关系。扰动的组速度不超过光速。对于沿域壁传播的扰动，除了无质量的模式（如经典情况下）外，还出现了大量的扰动。在凝结物质理论以及超重和超级理论中的膜量化中，结果可能很有趣。
The nonlinear quantization of the domain wall (relativistic membrane of codimension 1) is considered. The membrane dust equation is considered as an analogue of the Hamilton-Jacobi equation, which allows us to construct its quantum analogue. The resulting equation has the form of a nonlinear Klein-Fock-Gordon equation. It can be interpreted as the mean field approximation for a quantum domain wall. Dispersion relations are obtained for small perturbations (in a linear approximation). The group speed of perturbations does not exceed the speed of light. For perturbations propagating along the domain wall, in addition to the massless mode (as in the classical case), a massive one appears. The result may be interesting in condensed matter theory and in membrane quantization in superstring and supergravity theories.
