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52nd Heidelberg Physics Graduate Days

2024-04-08 - 2024-04-12

list of Lectures

QUANTUM GRAVITY AND SCATTERING AMPLITUDES

Benjamin Knorr

Nordic Institute for Theoretical Physics, Stockholm
Morning

Gravity is the only fundamental interaction that we do not agree on how to quantise - all other forces and particles fit neatly into the Standard Model of Particle Physics, a hugely successful and well-tested quantum field theory. One of many issues with quantum gravity treated in the same way as the Standard Model is that scattering amplitudes are ill-behaved: their associated probabilities are not bounded by one, and unitarity is lost.
A popular solution to this is string theory: via the introduction of massive higher spin particles, amplitudes are turned into well-behaved objects. The price to pay for this is leaving the realm of quantum field theory, and introducing extra dimensions, a gigantic tower of so far unobserved particles, and a large number of possible universes which may or may not contain ours.
If this price is too high for you, then this lecture makes a different offer: I can sell you a theory of quantum gravity that can be formulated as a quantum field theory with all the nice properties that we want from it! My price, you ask? The use of non-perturbative tools. Are you willing to pay? If so, you will learn about Asymptotic Safety, non-perturbative renormalisation group techniques and the computation of non-perturbative gravitational scattering amplitudes within this approach