Zobrazeno 1 - 10
of 593
pro vyhledávání: '"A Lahoche"'
To gain a deeper understanding of the glassy phase in $p$-spin quantum models, this paper examines the dynamics of the $N$-vector $\bm{x} \in \mathbb{R}^N$ through the framework of renormalization group theory. First, we focus on perturbation theory,
Externí odkaz:
http://arxiv.org/abs/2412.17600
In this paper, we consider a renormalization group perspective on the quantum dynamics of a particle moving in the Euclidean $\mathbb{R}^N$ space through the complex landscape provided by a disordered Hamiltonian of type $2+p$. We focus on the large
Externí odkaz:
http://arxiv.org/abs/2412.11619
This paper aims to study the functional renormalization group for quantum $(2+p)$-spin dynamics of a $N$-vector $\textbf{x}\in \mathbb{R}^N$. By fixing the gauge symmetry in the construction of the FRG, that breaks the $O(N)$-symmetry and deriving th
Externí odkaz:
http://arxiv.org/abs/2411.11089
Financial stock return correlations have been analyzed through the lens of random matrix theory to differentiate the underlying signal from spurious correlations. The continuous spectrum of the eigenvalue distribution derived from the stock return co
Externí odkaz:
http://arxiv.org/abs/2409.19711
This paper examines the quantum $(2+p)$-spin dynamics of a $N$-vector $\textbf{x}\in \mathbb{R}^N$ through the lens of renormalization group (RG) theory. The RG is based on a coarse-graining over the eigenvalues of matrix-like disorder, viewed as an
Externí odkaz:
http://arxiv.org/abs/2408.02602
Autor:
Lahoche, Vincent, Samary, Dine Ousmane
Publikováno v:
Nucl. Phys. B 1006 (2024) 116656
This paper is the last of the series investigating renormalization group aspects of stochastic random matrices, including a Wigner-like disorder. We consider the equilibrium dynamics formalism that can be merged with the Ward identities arising from
Externí odkaz:
http://arxiv.org/abs/2404.11915
Autor:
Lahoche, Vincent, Samary, Dine Ousmane
Publikováno v:
Physics Letters A 525 (2024) 129906
This paper aims to establish a connection between Pisarski's fixed point and a (2+3)-spin-glass model with sextic confinement potential. This is made possible by the unconventional power-counting induced by the effective kinetics provided by the diso
Externí odkaz:
http://arxiv.org/abs/2404.05436
Autor:
Lahoche, Vincent, Samary, Dine Ousmane
Publikováno v:
Nucl. Phys. B 1006 (2024) 116627
This paper, as a continuation of our previous investigation [arXiv:2403.07577] aims to study the glassy random matrices with quenched Wigner disorder. In this previous work, we have constructed a renormalization group based on the effective determini
Externí odkaz:
http://arxiv.org/abs/2403.12217
Autor:
Lahoche, Vincent, Samary, Dine Ousmane
Publikováno v:
Nucl. Phys. B 1005 (2024) 116582
In this paper, we study the equilibrium states of a $N\times N$ stochastic complex random matrix $M$, whose entries evolve in time accordingly with a Langevin equation including both Gaussian white noises and a linear disorder, materialized by the Wi
Externí odkaz:
http://arxiv.org/abs/2403.07577
Publikováno v:
Chaos, Solitons and Fractals 183 (2024) 114919
The construction of fractional derivatives with the right properties for use in field theory is reputed to be a difficult task, essentially because of the absence of a unique definition and uniform properties. The conformable fractional derivative in
Externí odkaz:
http://arxiv.org/abs/2401.15776