We review briefly the motivations for introducing additional group-theoretic data in tensor models, leading to the richer framework of group field theories, themselves a field theory formulation of loop quantum gravity. We discuss how these data give to the GFT amplitudes the structure of lattice gauge theories and simplicial gravity path integrals, and make their quantum geometry manifest. We focus in particular on the non-commutative flux/algebra representation of these models
Group field theories are a generalization of matrix models which provide both a second quantized ref...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
International audienceThe Hilbert space of loop quantum gravity is usually described in terms of cyl...
We review briefly the motivations for introducing additional group-theoretic data in tensor models, ...
We remark the importance of adding suitable pre-geometric content to tensor models, obtaining what h...
We introduce the key ideas behind the group field theory approach to quantum gravity, and the basic ...
We introduce the group field theory formalism for quantum gravity, mainly from the point of view of ...
We provide a short and non-technical summary of our current knowledge and some possible perspectives...
We introduce a dual formulation of group field theories, making them a type of non-commutative field...
Group field theories represent a 2nd quantized reformulation of the loop quantum gravity state space...
We offer a perspective on some recent results obtained in the context of the group field theory appr...
We give a very concise review of the group field theory formalism for non-perturbative quantum gravi...
Group field theories represent a 2nd quantized reformulation of the loop quantum gravity state space...
We discuss motivation and goals of renormalization analyses of group field theory models of simplici...
We discuss motivation and goals of renormalization analyses of group field theory models of simplici...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
International audienceThe Hilbert space of loop quantum gravity is usually described in terms of cyl...
We review briefly the motivations for introducing additional group-theoretic data in tensor models, ...
We remark the importance of adding suitable pre-geometric content to tensor models, obtaining what h...
We introduce the key ideas behind the group field theory approach to quantum gravity, and the basic ...
We introduce the group field theory formalism for quantum gravity, mainly from the point of view of ...
We provide a short and non-technical summary of our current knowledge and some possible perspectives...
We introduce a dual formulation of group field theories, making them a type of non-commutative field...
Group field theories represent a 2nd quantized reformulation of the loop quantum gravity state space...
We offer a perspective on some recent results obtained in the context of the group field theory appr...
We give a very concise review of the group field theory formalism for non-perturbative quantum gravi...
Group field theories represent a 2nd quantized reformulation of the loop quantum gravity state space...
We discuss motivation and goals of renormalization analyses of group field theory models of simplici...
We discuss motivation and goals of renormalization analyses of group field theory models of simplici...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
International audienceThe Hilbert space of loop quantum gravity is usually described in terms of cyl...