The 1/N Expansion of Colored Tensor Models
Tóm tắt
Từ khóa
Tài liệu tham khảo
Gross D.J., Miljkovic N.: A nonperturbative solution of D = 1 string theory. Phys. Lett. B 238, 217 (1990)
Gross D.J., Klebanov I.R.: One-dimensional string theory on a circle. Nucl. Phys. B 344, 475–498 (1990)
Di Francesco P., Ginsparg P.H., Zinn-Justin J.: 2-D gravity and random matrices. Phys. Rept. 254, 1–133 (1995) [hep-th/9306153]
David F.: A model of random surfaces with nontrivial critical behavior. Nucl. Phys. B 257, 543 (1985)
Kazakov V.A., Migdal A.A., Kostov I.K.: Critical properties of randomly triangulated planar random surfaces. Phys. Lett. B 157, 295–300 (1985)
Boulatov D.V., Kazakov V.A., Kostov I.K. et al.: Analytical and numerical study of the model of dynamically triangulated random surfaces. Nucl. Phys. B 275, 641 (1986)
Kazakov V., Kostov I.K., Kutasov D.: A Matrix model for the two-dimensional black hole. Nucl. Phys. B 622, 141–188 (2002) [hep-th/0101011]
Gross M.: Tensor models and simplicial quantum gravity in > 2-D. Nucl. Phys. Proc. Suppl. 25, 144 (1992)
Ambjorn J., Durhuus B., Jonsson T.: Three-dimensional simplicial quantum gravity and generalized matrix models. Mod. Phys. Lett. A 6, 1133 (1991)
Sasakura N.: Tensor model for gravity and orientability of manifold. Mod. Phys. Lett. A 6, 2613 (1991)
Freidel L.: Group field theory: an overview. Int. J. Theor. Phys. 44, 1769 (2005) [arXiv:hep-th/0505016]
Oriti, D.: The Group Field Theory Approach to Quantum Gravity: Some Recent Results. [arXiv:0912.2441 [hep-th]]
Boulatov D.V.: A model of three-dimensional lattice gravity. Mod. Phys. Lett. A 7, 1629 (1992) [arXiv:hep-th/9202074]
Freidel L., Louapre D.: Ponzano-Regge model revisited. I: Gauge fixing, observables and interacting spinning particles. Class. Quant. Grav. 21, 5685 (2004) [arXiv:hep-th/0401076]
Baratin, A., Oriti, D.: Group Field Theory with Non-Commutative Metric Variables. [arXiv:1002.4723 [hep-th]]
Engle J., Pereira R., Rovelli C.: Flipped spinfoam vertex and loop gravity. Nucl. Phys. B 798, 251 (2008) [arXiv:0708.1236 [gr-qc]]
Livine E.R., Speziale S.: A new spinfoam vertex for quantum gravity. Phys. Rev. D 76, 084028 (2007) [arXiv:0705.0674 [gr-qc]]
Freidel L., Krasnov K.: A new spin foam model for 4D gravity. Class. Quant. Grav. 25, 125018 (2008) [arXiv:0708.1595 [gr-qc]]
Geloun J.B., Gurau R., Rivasseau V.: EPRL/FK group field theory. Europhys. Lett. 92, 60008 (2010) [arXiv:1008.0354 [hep-th]]
Alexandrov, S., Roche, P.: Critical Overview of Loops and Foams. arXiv:1009.4475 [gr-qc]
Gurau, R.: Colored Group Field Theory. [arXiv:0907.2582 [hep-th]]
Gurau R.: Topological graph polynomials in colored group field theory. Ann. Henri Poincaré 11, 565 (2010) [arXiv:0911.1945 [hep-th]]
Gurau R.: Lost in translation: topological singularities in group field theory. Class. Quant. Grav. 27, 235023 (2010) arXiv:1006.0714 [hep-th]
Freidel L., Gurau R., Oriti D.: Group field theory renormalization—the 3D case: power counting of divergences. Phys. Rev. D 80, 044007 (2009) [arXiv:0905. 3772 [hep-th]]
Magnen J., Noui K., Rivasseau V., Smerlak M.: Scaling behaviour of three-dimensional group field theory. Class. Quant. Grav. 26, 185012 (2009) [arXiv: 0906.5477 [hep-th]]
Geloun, J.B., Magnen, J., Rivasseau, V.: Bosonic Colored Group Field Theory. [arXiv:0911.1719 [hep-th]]
Geloun J.B., Krajewski T., Magnen J., Rivasseau V.: Linearized group field theory and power counting theorems. Class. Quant. Grav. 27, 155012 (2010) [arXiv:1002.3592 [hep-th]]
Gurau R., Rivasseau V.: Parametric representation of noncommutative field theory. Commun. Math. Phys. 272, 811 (2007) [arXiv:math-ph/0606030]
Lins, S.: Gems, Computers and Attractors for 3-Manifolds. Series on Knots and Everything, vol. 5. ISBN: 9810219075/ISBN-13: 9789810219079
Bonzom V., Smerlak M.: Bubble divergences from cellular cohomology. Lett. Math. Phys. 93, 295 (2010) [arXiv:1004.5196 [gr-qc]]
Grosse H., Wulkenhaar R.: Renormalisation of phi**4 theory on noncommutative R**4 in the matrix base. Commun. Math. Phys. 256, 305 (2005) [arXiv:hep-th/0401128]
Gurau R., Magnen J., Rivasseau V., Vignes-Tourneret F.: Renormalization of non-commutative phi**4(4) field theory in x space. Commun. Math. Phys. 267, 515 (2006) [arXiv:hep-th/0512271]