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WHY BRST formulation works: Conditions imposed on QFT to find (how many . . . Note that the BRST symmetry acts on a very different space than the gauge symmetry - the BRST symmetry acts on the extended phase space with ghosts (and ghosts-of-ghosts, etc ) and only BRST-invariant quantites are physically meaningful, while the original gauge symmetry (with potentially multiple parameters) acts on the original phase space
quantum field theory - What is the relationship between BRST symmetry . . . The quote "esoteric consistency condition" undoubtedly refers to the fact that the BRST transformation is nilpotent (=squares to zero), which encodes a (possibly infinite) tower of consistency relations The quote "comes quite close to explaining how quanta and fermions arise in physics to begin with" refers to the fact that physical states are counted classified by BRST cohomology, and that
How does the BRST transformation act on ghost fields? TL;DR: The BRST transformation rules for the ghost fields follow from requiring that the BRST Slavnov operator squares to zero (= is nilpotent in physics jargon)
quantum field theory - BRST Symmetry and Single Particle States . . . I am studying about BRST symmetry from the book of P S (Peskin's and Schroeder's "An Introduction to QFT", Chapter 16 4) The authors construct a nilpotent charge operator and then they describe how it acts on single particle states
Why are physical states not eigenstates of BRST charge? This is before discussion of the BRST cohomology However, from ordinary QM, states that are invariant under symmetries are not annihilated by the generators, but are eigenstates of the generators
Newest brst Questions - Physics Stack Exchange 163 questions Newest Active Filter differential-geometry field-theory resource-recommendations gauge-theory brst Community wiki 2 revs, 2 users 100% Ishan Deo supersymmetry spinors constrained-dynamics point-particles brst