Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Drago, Nicoló"'
We study the classical and quantum KMS conditions within the context of spin lattice systems. Specifically, we define a strict deformation quantization (SDQ) for a $\mathbb{S}^2$-valued spin lattice system over $\mathbb{Z}^d$ generalizing the renown
Externí odkaz:
http://arxiv.org/abs/2406.12342
In this work we consider a suitable generalization of the Feynman path integral on a specific class of Riemannian manifolds consisting of compact Lie groups with bi-invariant Riemannian metrics. The main tools we use are the Cartan development map, t
Externí odkaz:
http://arxiv.org/abs/2307.03282
On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 4, pp. 809-829
We study the well-posedness of the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary. The existence of Green operators for the operator $\mathrm{d}+\delta$ and a suitable pre-symplectic structure on the spa
Externí odkaz:
http://arxiv.org/abs/2306.06896
The Dobrushin-Lanford-Ruelle (DLR) condition and the classical Kubo-Martin-Schwinger (KMS) condition are considered in the context of classical lattice systems. In particular, we prove that these conditions are equivalent for the case of a lattice sp
Externí odkaz:
http://arxiv.org/abs/2304.03082
In the realm of complex systems, dynamics is often modeled in terms of a non-linear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Gaussian white noise. In addition to a well-established collection of re
Externí odkaz:
http://arxiv.org/abs/2302.10579
Publikováno v:
Commun. Math. Phys. 405, 14 (2024)
We define a strict deformation quantization which is compatible with any Hamiltonian with local spin interaction (e.g. the Heisenberg Hamiltonian) for a spin chain. This is a generalization of previous results known for mean-field theories. The main
Externí odkaz:
http://arxiv.org/abs/2210.10697
Publikováno v:
Ann. Henri Poincar\'e (2023)
We discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vacuum and thermal states, if they exist). This is done constructing a fl
Externí odkaz:
http://arxiv.org/abs/2202.07580
Publikováno v:
Doc. Math. 27, 1693-1737 (2022)
The aim of this paper is to prove the existence of Hadamard states for Dirac fields coupled with MIT boundary conditions on any globally hyperbolic manifold with timelike boundary. This is achieved by introducing a geometric M{\o}ller operator which
Externí odkaz:
http://arxiv.org/abs/2109.01375
Autor:
Drago, Nicolò, Waldmann, Stefan
Publikováno v:
Journal of Symplectic Geometry Vol. 21, no. 5., 2023
We study the convex cone of not necessarily smooth measures satisfying the classical KMS condition within the context of Poisson geometry. We discuss the general properties of KMS measures and its relation with the underlying Poisson geometry in anal
Externí odkaz:
http://arxiv.org/abs/2107.04399
We consider the classical Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to APS-boundary conditions. This is achieved by deriving suitable energy est
Externí odkaz:
http://arxiv.org/abs/2104.00585