Algebraic structures in quantum gravity

Adrian Tanasa (1)

1 Institutul de Fizic˘ a i Inginerie Nuclear˘

Starting from a recently-introduced algebraic structure on spin foam models, we define a Hopf algebra by dividing with an appropriate quotient. The structure, thus defined, naturally allows for a mirror analysis of spin foam models with quantum field theory, from a combinatorial point of view. A grafting operator is introduced allowing for the equivalent of a Dyson-Schwinger equation to be written. Non-trivial examples are explicitly worked out. Finally, the physical significance of the results is discussed.

Mots clés: Physical Sciences

Adrian Tanasa. Algebraic structures in quantum gravity. Classical and Quantum Gravity, 2010, 27 (9), pp.95008. ⟨10.1088/0264-9381/27/9/095008⟩. ⟨hal-00591187⟩