Open AccessFaddeev-Popov Ghost and BRST Symmetry in Yang-Mills Theory
Author(s) -
Edyharto Yanuwar,
Jusak Sali Kosasih
Publication year - 2020
Publication title -
kontribusi fisika indonesia
Language(s) - English
Resource type - Journals
ISSN - 0854-6878
DOI - 10.5614/itb.ijp.2021.31.1.5
Subject(s) - brst quantization , propagator , gauge fixing , gauge theory , faddeev–popov ghost , mathematical physics , introduction to gauge theory , quantization (signal processing) , path integral formulation , transformation (genetics) , quantum gauge theory , gauge symmetry , physics , field (mathematics) , mathematics , gauge anomaly , quantum mechanics , pure mathematics , quantum , gauge boson , biochemistry , chemistry , algorithm , gene
Ghost fields arise from the quantization of the gauge field with constraints (gauge fixing) through the path integral method. By substituting a form of identity, an effective propagator will be obtained from the gauge field with constraints and this is called the Faddeev-Popov method. The Grassmann odd properties of the ghost field cause the gauge transformation parameter to be Grassmann odd, so a BRST transformation is defined. Ghost field emergence with Grassmann odd properties can also be obtained through the least action principle with gauge transformation, and thus the relations between the BRST transformation parameters and the ghost field is obtained.