论文标题
在最小长度的存在下产生粒子：时间依赖量表
Particle creation in the presence of minimal length: The time dependent gauge
论文作者
论文摘要
在本文中，我们研究了标量颗粒对在最小长度的存在下通过恒定的电场产生的问题。通过路径积分方法获得相应绿色函数的封闭表达式。然后，通过将此功能投影到传出的粒子和反粒子状态，我们计算了创建一对粒子和创建颗粒的数量密度的概率。由此，我们推断了最小长度对霍金温度和黑洞熵带来的修改。结果表明，第一个校正是一个对数项，具有负数值因子。我们还检查了对成对生产率的计算中的半经典WKB近似。结果是，与普通情况不同，在最小长度的情况下，即使对于恒定的电场，WKB近似也不会给出确切的速率。
In this paper we have studied the problem of scalar particles pair creation by a constant electric field in the presence of a minimal length. A closed expression for the corresponding Green's function is obtained via path integral approach. Then by projecting this function on the outgoing particle and antiparticle states we have calculated the probability to create a pair of particles and the number density of created particles. From this, we have deduced the modifications brought by the minimal length to Hawking temperature and black hole entropy. It is shown that the first correction is a logarithmic term with a negative numerical factor. We have also examined the semiclassical WKB approximation in the calculation of the pair production rate. The result is that, unlike the ordinary case, the WKB approximation in the presence of a minimal length does not give the exact rate even for the constant electric field.
