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2022

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

Karczmarek, Joanna L., Steinacker, Harold C.

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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-like singularity.

A suitable $i\varepsilon$ regularization of the Lorentzian matrix integral is proposed, which leads to the standard $i\varepsilon$-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.

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

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M. Sperling and H. C. Steinacker, Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
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1901
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