量子化场的路径积分表述
量子物理
2007-05-23 v2
摘要
概述了黎曼空间中粒子运动的物理路径积分表述,并将其推广以推导相应的场论表述。对于闵可夫斯基流形中零静止质量粒子的特例,表明底层空间可约化为三维,而质量粒子类似表述需四维结构。将本程序所得解与质量粒子对应理论令质量为零所得结果比较。虽相似,本表述对能谱及相关自由场量子化有一些额外含义,尤其给出零真空能。结果自然推广至更高维度。
引用
@article{arxiv.quant-ph/0404166,
title = {Path integral formulation of quantized fields},
author = {S. R. Vatsya},
journal= {arXiv preprint arXiv:quant-ph/0404166},
year = {2007}
}
备注
Original version: 10 pages. New version: 11 pages. Changes made: 1. Compensating errors in Eqs. (6) and (9) corrected. 2. Manuscript adjusted for consistency with Eqs. (6) and (9). 3. Minor adjustments made to the text for clarification