The semiclassical energy density of kinks and solitons
Abstract
We compute semiclassical corrections to the energy density of kinks in φ4 theory and of solitons in the sine-Gordon model in 1+1 dimensions, using local and covariant renormalization techniques from quantum field theory in curved spacetimes. For the semiclassical correction to the energy, we recover the known results. Our analysis highlights a subtlety in the definition of a conserved stress tensor for scalar field theories in 1+1 dimension.
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