Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories
DOI10.1007/s11040-020-09351-5zbMath1457.81090arXiv1812.00623OpenAlexW2950414120MaRDI QIDQ2220906
Publication date: 25 January 2021
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.00623
(q)-calculus and related topics (05A30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Topological field theories in quantum mechanics (81T45) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Monoidal categories, symmetric monoidal categories (18M05) Matrix models and tensor models for quantum field theory (81T32)
Related Items (2)
Cites Work
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- Blobbed topological recursion
- The multi-orientable random tensor model, a review
- Colored tensor models -- a review
- Colored group field theory
- Topological quantum field theories
- A generalization of the Virasoro algebra to arbitrary dimensions
- Critical behavior of colored tensor models in the large \(N\) limit
- Ward identities and combinatorics of rainbow tensor models
- Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders
- Towards the map of quantum gravity
- Exact renormalisation group equations and loop equations for tensor models
- Random tensors and quantum gravity
- Cataloguing PL 4-manifolds by gem-complexity
- Invariants of algebraic curves and topological expansion
- The spectral action principle
- Constructive tensor field theory: the \(T_{4}^{4}\) model
- Planar diagrams
- A renormalizable 4-dimensional tensor field theory
- The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders
- Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces
- A solvable tensor field theory
- Correction to: ``The full Ward-Takahashi identity for colored tensor models
- Just renormalizable TGFT's on \(U(1)^d\) with gauge invariance
- Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
- 3D tensor field theory: renormalization and one-loop \(\beta \)-functions
- \(O(N)\) random tensor models
- Counting gluings of octahedra
- Surgery in colored tensor models
- The full Ward-Takahashi identity for colored tensor models
- SYK-like tensor quantum mechanics with $\operatorname{Sp}(N)$ symmetry
- Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions
- Group field theory: an overview
- THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
- The tensor track, III
- Closed equations of the two-point functions for tensorial group field theory
- The Hamiltonian constraint in 3d Riemannian loop quantum gravity
- ASYMPTOTIC FREEDOM OF RANK 4 TENSOR GROUP FIELD THEORY
- SCHWINGER-DYSON EQUATIONS IN GROUP FIELD THEORIES OF QUANTUM GRAVITY
- A Census of Planar Triangulations
- BLOBS AND FLIPS ON GEMS
- Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation
- Noncommutative Cosmology
- Blobbed topological recursion for the quartic melonic tensor model
- On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory
- The strange equation of quantum gravity
- Group Field Theory and Loop Quantum Gravity
- A short overview of the "Topological recursion"
- Tensorial Methods and Renormalization in Group Field Theories
- A Census of Planar Maps
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