CORDIS Project
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This project explores the melonic universality class of tensor field theories, aiming to understand their infrared conformal field theories. It seeks to extend this class and investigate its implications for quantum critical phenomena.
The large-N limit in field theory restricts the perturbative expansion to specific classes of Feynman diagrams.
For vectors the restricted class of diagrams is simple, and one can analytically solve the models.
For matrices, the large-N limit is simple in zero dimensions but is exceedingly complicated in higher dimensions. I proved that going one step up in the rank and considering tensor fields things simplify again, but not to the level of the vectors. I established the 1/N expansion of random…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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