论文标题
粒子的创造和雪松模型
Particle creation and the Schwinger model
论文作者
论文摘要
我们研究了Schwinger模型中的粒子创建过程，并研究了外部经典来源。可以通过利用完整的量化模型可以解决并等同于具有非本地有效作用的（大规模）规格场来解决问题。另外，也可以按照标准的半经路线面对问题。这意味着量化无质量的狄拉克场并将电磁场视为经典背景。我们评估由通用，均匀和时间依赖的来源产生的能量。结果在两种方法中都完全匹配。这是一种非常直接和经济的方式证明了（无质量）Schwinger模型的半经典方法的有效性，与基于线性响应方程的先前分析一致。我们的讨论表明，对大规模施温格模型的类似分析可以用作一个非平凡的实验室，以与其半经典近似面对完全量化的可解决的模型，因此模仿了弯曲的时间表中量子场与量子场的长期对抗。
We study the particle creation process in the Schwinger model coupled with an external classical source. One can approach the problem by taking advantage that the full quantized model is solvable and equivalent to a (massive) gauge field with a non-local effective action. Alternatively, one can also face the problem following the standard semiclassical route. This means quantizing the massless Dirac field and considering the electromagnetic field as a classical background. We evaluate the energy created by a generic, homogeneous, and time-dependent source. The results exactly match in both approaches. This proves in a very direct and economical way the validity of the semiclassical approach for the (massless) Schwinger model, in agreement with previous analysis based on the linear response equation. Our discussion suggests that a similar analysis for the massive Schwinger model could be used as a non-trivial laboratory to confront a fully quantized solvable model with its semiclassical approximation, therefore mimicking the long-standing confrontation of quantum gravity with quantum field theory in curved spacetime.
