量子化场的路径积分公式
Path integral formulation of quantized fields
摘要：
概述了黎曼空间中质点运动的物理路径积分公式，并将其推广到相应的场论公式。对于Minkowski流形中零静止质量粒子的特殊情况，它表明，底层空间可以减少到三维，而类似的提法为一个巨大的粒子需要一个四维结构。通过本程序得到的解决方案进行比较，从其对应的大质量粒子的质量等于零的结果。虽然类似，目前的配方有一些额外的影响有关的能谱和相关的自由场量子化，特别是它产生零真空能量。结果自然地被扩展到更高的维度。
英文摘要：
Physical path integral formulation of motion of particles in Riemannian spaces is outlined and extended to deduce the corresponding field theoretical formulation. For the special case of a zero rest mass particle in Minkowski manifold, it is shown that the underlying space can be reduced to three-dimensional while similar formulation for a massive particle requires a four-dimensional structure. The solutions obtained by the present procedure are compared with the results obtained from its counterpart for a massive particle by setting the mass equal to zero. Although similar, the present formulation has some additional implications pertaining to the energy spectrum and the associated free field quantization, particularly it yields zero vacuum energy. The results are naturally extended to higher dimensions.
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