Jul 5 – 10, 2021
Europe/Rome timezone

Effective field theory from Relativistic Generalized Uncertainty Principle

Jul 7, 2021, 9:55 AM
25m
Talk in the parallel session Quantum Gravity Phenomenology Quantum Gravity Phenomenology

Speaker

Vasil Todorinov (University of Lethbridge)

Description

Theories of Quantum Gravity predict a minimum measurable length and a corresponding modification of the Heisenberg Uncertainty Principle to the so-called Generalized Uncertainty Principle (GUP). However, this modification is non-relativistic, making it unclear whether the minimum length is Lorentz invariant. We formulate a Relativistic Generalized Uncertainty Principle, resulting in a Lorentz invariant minimum measurable length and the resolution of the composition law problem. This proved to be an important step in the formulation of Quantum Field Theory with minimum length. We derived the Lagrangians consistent with the existence of minimal length and describing the behaviour of scalar, spinor, and U(1) gauge fields. We calculated the Feynman rules (propagators and vertices) associated with these Lagrangians. Furthermore, we calculated the Quantum Gravity corrected scattering cross-sections for a lepton-lepton scattering. Finally, we compared our results with current experiments, which allowed us to improve the bounds on scale at which quantum gravity phenomena will become relevant.

Primary author

Vasil Todorinov (University of Lethbridge)

Co-authors

Prof. Saurya Das (University of Lethbridge) Prof. Pasquale Bosso (Universit of LEthbridge)

Presentation materials

Proceedings

Paper