Abstract
A modified Faddeev–Popov path integral density for the quantization of Yang–Mills theory in the Feynman gauge is discussed, where contributions of the Faddeev–Popov ghost fields are replaced by multi-point gauge field interactions. An explicit calculation to O(g2) shows the equivalence of the usual Faddeev–Popov scheme and its modified version.
Highlights
Faddeev and Popov [1] proposed a highly acclaimed path integral quantization procedure for Yang–Mills theory
Yang–Mills theory is a gauge theory based on compact simple Lie groups
It forms the basis of our understanding of the Standard Model of particle physics [2,3,4], which has two basic components: The spontaneously broken SU (2) × U (1) electroweak theory, and the unbroken SU(3) color gauge theory, known as Quantum Chromodynamics (QCD)
Summary
Faddeev and Popov [1] proposed a highly acclaimed path integral quantization procedure for Yang–Mills theory. Confinement is the phenomenon of non-observation of color charged particles like free quarks or gluons and is believed to follow from the strength of the QCD coupling constant at long distances (or low energies, respectively). It should be remarked, that presently there is no analytic proof of color confinement in Yang-Mills theory. In this paper a modified Faddeev-Popov path integral quantization of Yang-Mills theory is presented, where contributions of the Faddeev-Popov ghost fields are replaced by multi-point gauge field interactions. This is a new formulation of quantum Yang-Mills theory without the use of Grassman-valued fields
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