聚合物量子化标量场的路径积分表示
Path Integral representation for Polymer Quantized Scalar Fields
摘要：
根据圈量子引力，物质场必须以与背景无关的方式量子化。对于标量场，这种与背景无关的量子化称为聚合物量子化，它与标准薛定谔量子化是不等价的。因此，重要的是从聚合物量子化标量场理论获得预测，并与标准结果进行比较。作为实现这一目标的一步，我们开发了聚合物量子化标量场的路径积分表示。我们注意到薛定谔量子化标量场的路径积分有几个关键的不同。一个重要的区别是在聚合物量子化理论的路径积分中的每一点处出现额外的求和。第二个关键的区别是闵可夫斯基空间上的聚合物量子化理论失去了明显的洛伦兹对称性。
英文摘要：
According to loop quantum gravity, matter fields must be quantized in a background independent manner. For scalar fields, such a background independent quantization is called polymer quantization and is inequivalent to the standard Schrodinger quantization. It is therefore important to obtain predictions from the polymer quantized scalar field theory and compare with the standard results. As a step towards this, we develop a path integral representation for the polymer quantized scalar field. We notice several crucial differences from the path integral for the schrodinger quantized scalar field. One important difference is the appearance of an extra summation at each point in the path integral for the polymer quantized theory. A second crucial difference is the loss of manifest Lorentz symmetry for a polymer quantized theory on Minkowski Space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
