PIRSA:26050040

Video URL

https://pirsa.org/26050040

Spectral Density of the Causal Propagator

Kouchekzadeh Yazdi, Y. (2026). Spectral Density of the Causal Propagator. Perimeter Institute for Theoretical Physics. https://pirsa.org/26050040

Kouchekzadeh Yazdi, Yasaman. Spectral Density of the Causal Propagator. Perimeter Institute for Theoretical Physics, May. 21, 2026, https://pirsa.org/26050040 

          @misc{ scivideos_PIRSA:26050040,
            doi = {10.48660/26050040},
            url = {https://pirsa.org/26050040},
            author = {Kouchekzadeh Yazdi, Yasaman},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Spectral Density of the Causal Propagator},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {may},
            note = {PIRSA:26050040 see, \url{https://scivideos.org/pirsa/26050040}}
          }

Yasaman Kouchekzadeh Yazdi Dublin Institute For Advanced Studies

Talk numberPIRSA:26050040
DOI10.48660/26050040
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

In scalar quantum field theory, the causal propagator, which is proportional to the spacetime commutator of the field, plays an essential role. I will discuss some ways the causal propagator and its spectrum have been used to formulate quantum field theory in a more explicitly covariant manner in the continuum as well as in causal set theory. I will then state a conjecture for its asymptotic spectral density, along with examples that lend evidence to the conjecture. This result has implications for Lorentzian spectral geometry, as it is akin to Weyl’s asymptotic law in Riemannian spectral geometry. (Based on work with Joshua Jones and Rafael Sorkin.)