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Razvan Gurau on Muck Rack

Razvan Gurau

As seen in: Physical Review B
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Articles

[2410.00908] Free cumulants and freeness for unitarily invariant random tensors

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By Razvan Gurau, Luca Lionni
| arxiv.org
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Dynamic critical exponent in quantum long-range models

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By Ecole Polytechnique, Razvan Gurau, Dario Benedetti, Davide Lettera
| Physical Review B
Abstract Quantum long-range models at zero temperature can be described by fractional Lifshitz field theories, that is, anisotropic models whose actions are short range in time and long range in space. In this paper, we study the renormalization of fractional Lifshitz field theories with weakly relevant cubic or quartic self-interactions. Their nontrivial infrared fixed points exhibit Lifshitz scale invariance and we compute the lowest-order corrections to the dynamic critical exponent.
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Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions

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By Jürgen Berges, Universität Heidelberg, Razvan Gurau, Hannes Keppler
| Physical Review B
We consider a scalar quantum field theory with global O(N)3 symmetry in four Euclidean dimensions and solve it numerically in closed form in the large-N limit. For imaginary tetrahedral coupling the theory is asymptotically free, with stable and real quantum effective action. We demonstrate the dynamical build-up of a strong interaction as the correlation length increases in a regime where the coupling renormalization flow remains well defined in the infrared.
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