bilinears

I feel that many particular developments in gauge theories find no support in algebraic quantum field theory and they are perhaps marginally inconsistent with it, at least in four dimensions and higher: gauge invariance, the contributions of Faddeev-Popov ghosts in loops spontaneous symmetry breaking chiral symmetry breaking and supersymmetry breaking by fermionic bilinears strong-weak duality non-commutative extensions of field theories anomaly cancellation as a non-trivial condition on the spectrum and, of course, the existence of gravity, diffeomorphism symmetry, all of its extensions from string theory, and holography

The Reference Frame 2010