Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Carrozza, Sylvain"'
Autor:
Carrozza, Sylvain
We provide a brief overview of tensor models and group field theories, focusing on their main common features. Both frameworks arose in the context of quantum gravity research, and can be understood as higher-dimensional generalizations of matrix mod
Externí odkaz:
http://arxiv.org/abs/2404.07834
Publikováno v:
SciPost Phys. 17, 048 (2024)
We develop a framework based on the covariant phase space formalism that identifies gravitational edge modes as dynamical reference frames. They enable the identification of the associated spacetime region and the imposition of boundary conditions in
Externí odkaz:
http://arxiv.org/abs/2205.00913
Autor:
Carrozza, Sylvain, Hoehn, Philipp A.
Publikováno v:
J. High Energ. Phys. 2022, 172 (2022)
We introduce a general framework realizing edge modes in (classical) gauge field theory as dynamical reference frames, an often suggested interpretation that we make entirely explicit. We focus on a bounded region $M$ with a co-dimension one time-lik
Externí odkaz:
http://arxiv.org/abs/2109.06184
Autor:
Carrozza, Sylvain, Harribey, Sabine
Publikováno v:
Commun. Math. Phys. (2022)
We demonstrate that random tensors transforming under rank-$5$ irreducible representations of $\mathrm{O}(N)$ can support melonic large $N$ expansions. Our construction is based on models with sextic ($5$-simplex) interaction, which generalize previo
Externí odkaz:
http://arxiv.org/abs/2104.03665
Publikováno v:
Journal of Mathematical Physics 61, 073501 (2020)
We investigate the existence and properties of a double asymptotic expansion in $1/N^{2}$ and $1/\sqrt{D}$ in $\mathrm{U}(N)\times\mathrm{O}(D)$ invariant Hermitian multi-matrix models, where the $N\times N$ matrices transform in the vector represent
Externí odkaz:
http://arxiv.org/abs/2003.04152
Publikováno v:
Ann. Inst. Henri Poincar\'e Comb. Phys. Interact. 9 (2022), no. 2, pp. 367-433
We study the double- and triple-scaling limits of a complex multi-matrix model, with $\mathrm{U}(N)^2\times \mathrm{O}(D)$ symmetry. The double-scaling limit amounts to taking simultaneously the large-$N$ (matrix size) and large-$D$ (number of matric
Externí odkaz:
http://arxiv.org/abs/2003.02100
Publikováno v:
Universe 6 (2020) no.1, 19
This Editorial introduces the Special Issue "Progress in Group Field Theory and Related Quantum Gravity Formalisms" which includes a number of research and review articles covering results in the group field theory (GFT) formalism for quantum gravity
Externí odkaz:
http://arxiv.org/abs/2001.08428
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Carrozza, Sylvain, Pozsgay, Victor
Publikováno v:
Nucl. Phys. B 941 (2019) 28-52
We introduce a family of tensor quantum-mechanical models based on irreducible rank-$3$ representations of $\mathrm{Sp}(N)$. In contrast to irreducible tensor models with $\mathrm{O}(N)$ symmetry, the fermionic tetrahedral interaction does not vanish
Externí odkaz:
http://arxiv.org/abs/1809.07753