PIRSA:19080083

Algebraic construction of interacting QFT models on causal sets

Rejzner, K. (2019). Algebraic construction of interacting QFT models on causal sets. Perimeter Institute. https://pirsa.org/19080083

Rejzner, Katarzyna. Algebraic construction of interacting QFT models on causal sets. Perimeter Institute, Aug. 22, 2019, https://pirsa.org/19080083 

          @misc{ pirsa_PIRSA:19080083,
            doi = {10.48660/19080083},
            url = {https://pirsa.org/19080083},
            author = {Rejzner, Katarzyna},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Algebraic construction of interacting QFT models on causal sets},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {aug},
            note = {PIRSA:19080083 see, \url{https://pirsa.org}}
          }

Katarzyna Rejzner

University of York

Talk number
PIRSA:19080083
Collection
Talk Type
Subject
Abstract

In this talk I will report on recent progress in building QFT models on causal sets. The framework I'm using is that of perturbative algebraic quantum field theory (pAQFT). It was developed for rigorous study of perturbative QFT in the continuum, but can also be applied in the situation where spacetime is replaced by a discrete structure. Causality plays a key role in pAQFT, so it is natural to apply it to causets. Construction of models in this framework is purely algebraic and one does not need to specify a state or a Hilbert space representation until the final step, in which correlation functions are computed.