Aspects of Quantum fields on causal sets

Abstract

Quantum gravity has been an outstanding problem in theoretical physics for many decadesnow [1, 2, 3, 4, 5, 6]. The lack of phenomenology in this area has meant a proliferationof theoretical ideas. These ideas offer different ways of tackling the problem of quantizingthe gravitational field. In the past, we have found ways to get glimpses of the final theoryby studying quantum fields in curved spacetime [7, 8]. This approach has led to the mostmathematically rigorous formulations of quantum field theory [9]. It has also led to suchwell known results as Black Hole thermodynamics, particle production in FLRW cosmology,inflation and the information loss paradox. These results have been shown to arise in avariety of scenarios and from different kinds of calculations, further cementing their place asessential features for a final theory despite the lack of phenomenological evidence