Perturbative quantum gauge invariance: Where the ghosts come from

Details Perturbative quantum gauge invariance: Where the ghosts come from Perturbative quantum gauge invariance: Where the ghosts come from

2004-01-23

arxiv.org/abs/hep-th/0401178v2

Can.J.Phys. 83 (2005) 139-163

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LATEX. Some typos corrected, version to be published

Scientific paper

10.1139/p04-064

A condensed introduction to quantum gauge theories is given in the perturbative S-matrix framework; path integral methods are used nowhere. This approach emphasizes the fact that it is not necessary to start from classical gauge theories which are then subject to quantization, but it is also possible to recover the classical group structure and coupling properties from purely quantum mechanical principles. As a main tool we use a free field version of the Becchi-Rouet-Stora-Tyutin gauge transformation, which contains no interaction terms related to a coupling constant. This free gauge transformation can be formulated in an analogous way for quantum electrodynamics, Yang-Mills theories with massless or massive gauge bosons and quantum gravity.

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