Cosmic time evolution and propagator from a Yang-Mills matrix model

Autor(en)

Joanna L. Karczmarek, Harold C. Steinacker

Abstrakt

We consider a solution of a IKKT-type matrix model which can be considered as a 1+1-dimensional space-time with Minkowski signature and a Big Bounce (BB)-like singularity. A suitable i ϵ regularization of the Lorentzian matrix integral is proposed, which leads to the standard i ϵ -prescription for the effective field theory. In particular, the Feynman propagator is recovered locally for late times. This demonstrates that a causal structure and time evolution can emerge in the matrix model, even on non-trivial geometries. We also consider the propagation of modes through the BB, and observe an interesting correlation between the post-BB and pre-BB sheets, which reflects the structure of the brane in target space.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of British Columbia (UBC)

Journal

Journal of Physics A: Mathematical and Theoretical

Band

56

Anzahl der Seiten

26

ISSN

1751-8113

DOI

https://doi.org/10.1088/1751-8121/acc61e

Publikationsdatum

04-2023

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

Schlagwörter

ASJC Scopus Sachgebiete

Statistical and Nonlinear Physics, Statistics and Probability, Modelling and Simulation, Mathematical Physics, Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/8134bbdc-ddc0-4c1f-a411-850beeba387d