Flowing in Group Field Theory Space: a Review
Copyright policy )Flowing in Group Field Theory Space: a Review
We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension $d \geq 3$. More precisely, we focus on GFTs with so-called closure constraint, which are closely related to lattice gauge theories and quantum gravity spin foam models. With the help of recent tensor model tools, a rich landscape of renormalizable theories has been unravelled. We review our current understanding of their renormalization group flows, at both perturbative and non-perturbative levels.
- University of Bordeaux France
High Energy Physics - Theory, model: tensor, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], lattice field theory, matrix model, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), renormalizable, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, Perturbative methods of renormalization applied to problems in quantum field theory, renormalization, group field theory, High Energy Physics - Theory (hep-th), quantum gravity, renormalization group: flow, spin: foam, renormalization., [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], field theory: group, Quantization of the gravitational field, quantum field theory, Nonperturbative methods of renormalization applied to problems in quantum field theory
High Energy Physics - Theory, model: tensor, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], lattice field theory, matrix model, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), renormalizable, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, Perturbative methods of renormalization applied to problems in quantum field theory, renormalization, group field theory, High Energy Physics - Theory (hep-th), quantum gravity, renormalization group: flow, spin: foam, renormalization., [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], field theory: group, Quantization of the gravitational field, quantum field theory, Nonperturbative methods of renormalization applied to problems in quantum field theory
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