Razvan Gurau

Research Interests

I am a mathematical physicist, with interests in both preturbative and non perturbative aspects of the renormalization of quantum field theories. My research projects center around the idea of applying techniques inspired by renormalization in quantum field theory to random tensor models (higher dimensional generalizations of random matrix models). This direction of research is closely related algebraic topology, knot theory, low dimensional topology and homotopy theory. More generally, this approach provides a bridge between combinatorics and algebraic topology. On the physics side this study is relevant for problems ranging form quantum gravity to condensed matter.

Awards

• The Hermann Weyl Prize 2012

Recent Publications

• Valentin Bonzom, Razvan Gurau, Vincent Rivasseau, Random tensor models in the large N limit: Uncoloring the colored tensor models, Phys. Rev. D 85, 084037 (2012), arXiv: 1202.3637
• Razvan Gurau, James P. Ryan, Colored Tensor Models - a Review, SIGMA 8 (2012), 020, 78 pages, arXiv: 1109.4812
• Valentin Bonzom, Razvan Gurau, Vincent Rivasseau, The Ising Model on Random Lattices in Arbitrary Dimensions, Physics Letters B 711 (2012), pp. 88-96, arXiv: 1108.6269
• Dario Benedetti, Razvan Gurau, Phase Transition in Dually Weighted Colored Tensor Models, Nucl.Phys. B855 (2012) 420-437, arXiv: 1108.5389
• Valentin Bonzom, Razvan Gurau, Aldo Riello, Vincent Rivasseau, Critical behavior of colored tensor models in the large N limit, Nucl. Phys. B853 (2011) 174-195, arXiv: 1105.3122
• Razvan Gurau, The 1/N expansion of colored tensor models, Annales Henri Poincare 12:829-847,2011, arXiv: 1011.2726
• Joseph Ben Geloun, Razvan Gurau, Asymptotes in SU(2) Recoupling Theory: Wigner Matrices, $3j$ Symbols, and Character Localization, Annales Henri Poincare 12:77-118,2011, arXiv: 1009.5632
• Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau, EPRL/FK Group Field Theory, Europhys.Lett.92:60008,2010, arXiv: 1008.0354
• Razvan Gurau, Lost in Translation: Topological Singularities in Group Field Theory, Class.Quant.Grav.27:235023,2010, arXiv: 1006.0714
• Razvan Gurau, A Diagrammatic Equation for Oriented Planar Graphs, Nucl.Phys.B839:580-603,2010, arXiv: 1003.2187
• Razvan Gurau, Topological Graph Polynomials in Colored Group Field Theory, Annales Henri Poincare 11:565-584,2010, arXiv: 0911.1945
• Razvan Gurau, Colored Group Field Theory, Commun.Math.Phys.304:69-93,2011, arXiv: 0907.2582
• Laurent Freidel, Razvan Gurau, Daniele Oriti, Group field theory renormalization - the 3d case: power counting of divergences, Phys.Rev.D80:044007,2009, arXiv: 0905.3772
• Razvan Gurau, Oliver J. Rosten, Wilsonian Renormalization of Noncommutative Scalar Field Theory, JHEP 0907:064,2009, arXiv: 0902.4888
• Razvan Gurau, The Ponzano-Regge asymptotic of the 6j symbol: an elementary proof, AnnalesHenriPoincare9:1413-1424,2008, arXiv: 0808.3533
• Universality in p-spin glasses, Valentin Bonzom, Razvan Gurau, Matteo Smerlak, arXiv: 1206.5539
• Counting Line-Colored D-ary Trees, Valentin Bonzom, Razvan Gurau, arXiv: 1206.4203
• The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders, Razvan Gurau, arXiv: 1203.4965
• Universality for Random Tensors, Razvan Gurau, arXiv: 1111.0519
• The Double Scaling Limit in Arbitrary Dimensions: A Toy Model, Razvan Gurau, arXiv: 1110.2460
• Colored Tensor Models - a review, Razvan Gurau, James P. Ryan, arXiv: 1109.4812
• The Ising Model on Random Lattices in Arbitrary Dimensions, Valentin Bonzom, Razvan Gurau, Vincent Rivasseau, arXiv: 1108.6269
• Phase Transition in Dually Weighted Colored Tensor Models, Dario Benedetti, Razvan Gurau, arXiv: 1108.5389
• A generalization of the Virasoro algebra to arbitrary dimensions, Razvan Gurau, arXiv: 1105.6072
• Critical behavior of colored tensor models in the large N limit, Valentin Bonzom, Razvan Gurau, Aldo Riello, Vincent Rivasseau, arXiv: 1105.3122
• The complete 1/N expansion of colored tensor models in arbitrary dimension, Razvan Gurau, arxiv:gr-qc/arXiv:1102.
• The 1/N expansion of colored tensor models in arbitrary dimension, Razvan Gurau, Vincent Rivasseau, arxiv:gr-qc/arXiv:1101.

Seminars

• Series of Lectures in Group Field Theory, U Va, Charlottesville
• Group Field Theory, UBC, Vancouver
• Group Field Theory, MFO, Oberwolfach
• Group Field Theory, CRM, Montreal
• Two points of view on quantum field theory, Physikalisches Institut, Heidelberg
• Hunting bubbles in Group Field Theory, Institut d'Etudes Scientifiques de Cargese
• Hunting bubbles in Group Field Theory, Ecole Polytechnique, Paris