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Universal fine grained asymptotics of weakly coupled Quantum Field Theory

Universal fine grained asymptotics of weakly coupled Quantum Field Theory

We give a proof that in any weakly coupled quantum field theory with a finite group global symmetry $\mathrm{G}$, on a spatial manifold $S^{d-1}$, at sufficiently high energy, the density of states $\rho_\alpha(E)$ for each irreducible representation $\alpha$ of $\mathrm{G}$ obeys a universal formula as conjectured by Harlow and Ooguri. …