Universal fine grained asymptotics of free and weakly coupled quantum field theory

Cao, Weiguang; Melia, Tom; Pal, Sridip

doi:10.1007/JHEP05(2024)031

Universal fine grained asymptotics of free and weakly coupled quantum field theory

Journal Article · Fri May 03 00:00:00 EDT 2024 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2024)031· OSTI ID:2587158

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The University of Tokyo (Japan)
The University of Tokyo, Chiba (Japan)
Institute for Advanced Study, Princeton, NJ (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

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 ρ_α(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.

View Accepted Manuscript (DOE)

Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE; JSPS KAKENHI

Grant/Contract Number:: SC0009988

OSTI ID:: 2587158

Alternate ID(s):: OSTI ID: 2576024

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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