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Universal fine grained asymptotics of free and weakly coupled quantum field theory
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Universal fine grained asymptotics of free and weakly coupled quantum field theory
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Journal Article
Universal fine grained asymptotics of free and weakly coupled quantum field theory
2024
Overview
We give a rigorous proof that in any free quantum field theory with a finite group global symmetry G, on a compact spatial manifold, at sufficiently high energy, the density of states ρα(E) for each irreducible representation α of G obeys a universal formula as conjectured by Harlow and Ooguri. We further prove that this continues to hold in a weakly coupled quantum field theory, given an appropriate scaling of the coupling with temperature. This generalizes similar results that were previously obtained in (1 + 1)-D to higher spacetime dimension. We discuss the role of averaging in the density of states, and we compare and contrast with the case of continuous group G, where we prove a universal, albeit different, behavior.
Publisher
Springer Nature
