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2010

Linearized Group Field Theory and Power Counting Theorems

Geloun, Joseph Ben, Krajewski, Thomas, Magnen, Jacques et al.

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We introduce a linearized version of group field theory.

It can be viewed either as a group field theory over the additive group of a vector space or as an asymptotic expansion of any group field theory around the unit group element.
We prove exact power counting theorems for any graph of such models.
For linearized colored models the power counting of any amplitude is further computed in term of the homology of the graph.

Linearized Group Field Theory and Power Counting Theorems · Around

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R. Gurau, “Topological Graph Polynomials in Colored Group Field Theory,” arXiv:0911.1945 [hep-th]
Original
1945
Earlier work this paper cites.
D. V. Boulatov, Mod. Phys. Lett. A7
1992
Earlier work this paper cites.
S. Lins, ”Gems, Computers and Attractors for 3-Manifolds”, Knots and everything Series, Vol 5 World Scientific Publishing, 1996
1996
Earlier work this paper cites.
L. Freidel and D. Louapre, “Non-perturbative summation over 3D discrete topologies,” Phys. Rev. D 68
2003
Earlier work this paper cites.

Similar

C. Rovelli, Quantum Gravity
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L. Freidel, “Group field theory: An overview,” Int. J. Theor. Phys. 44
2005
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R. Gurau and V. Rivasseau, “Parametric representation of noncommutative field theory,” Commun. Math. Phys. 272
2007
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D. Oriti, “The group field theory approach to quantum gravity,” arXiv:gr-qc/0607032
Cited in the paper.
R. Gurau, “Colored Group Field Theory,” arXiv:0907.2582 [hep-th]
Original
Cited in the paper.
J. Ben Geloun, J. Magnen and V. Rivasseau, “Bosonic Colored Group Field Theory,” arXiv:0911.1719 [hep-th]
Original
Cited in the paper.
T. Krajewski, V. Rivasseau, A. Tanasa and Z. Wang, “Topological Graph Polynomials and Quantum Field Theory, Part I: Heat Kernel Theories,” arXiv:0811.0186 [math-ph]
Original
Cited in the paper.
T. Krajewski, V. Rivasseau and F. Vignes-Tourneret, “Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories,” arXiv:0912.5438 [math-ph]
Original
Cited in the paper.

Then

V. Rivasseau and A. Tanasa, “Parametric representation of ‘critical’ noncommutative QFT models,” Commun. Math. Phys. 279
2008
Later among the works it cites.
L. Freidel, R. Gurau and D. Oriti, “Group field theory renormalization - the 3d case: power counting of divergences,” Phys. Rev. D 80
Original
2009
Later among the works it cites.
J. Magnen, K. Noui, V. Rivasseau and M. Smerlak, “Scaling behaviour of three-dimensional group field theory,” Class. Quant. Grav. 26
Original
2009
Later among the works it cites.

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