id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_4q3grgxsoragbmqku4zr6cnvcy	Steven Weinstein	Gravity and Gauge Theory	1999	10	.pdf	application/pdf	4036	358	66	General relativity is invariant under transformations of the diffeomorphism group. because in quantum theory, the generators of gauge transformations are emphatically not treated U(1) gauge theory, the Þbers are the group U(1), and each point on a Þber corresponds to a different Gauge-invariance is realized because, although the connection changes under gauge transformations, the physical quantities, which are represented by the curvature Fαβ, do not. which the physics (here encoded in the curvature Fαβ) is invariant under local U(1) gauge transformations. the connection (the gauge Þeld) at each point, changes that nonetheless leave the physics at the Thus, the diffeomorphisms comprise the gauge freedom of any theory formulated in terms of tensor Þelds on a spacetime manifold. of the Maxwell tensor at a spacetime point x to be observables (physical predictions of the theory) 13See Rovelli (1995) for an attempt at constructing a diffeomorphism-invariant quantum Þeld theory.	./cache/work_4q3grgxsoragbmqku4zr6cnvcy.pdf	./txt/work_4q3grgxsoragbmqku4zr6cnvcy.txt