Annales Henri Poincaré最新文献_第7页

Optimization of Quantum Graph Eigenvalues with Preferred Orientation Vertex Conditions 优选方向顶点条件下量子图特征值的优化

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-04-23 DOI: 10.1007/s00023-025-01574-y

Pavel Exner, Jonathan Rohleder

引用次数: 0

An Algebraic Correspondence Between Stochastic Differential Equations and the Martin–Siggia–Rose Formalism 随机微分方程与Martin-Siggia-Rose形式的代数对应关系

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-04-23 DOI: 10.1007/s00023-025-01571-1

Alberto Bonicelli, Claudio Dappiaggi, Nicolò Drago

{"title":"An Algebraic Correspondence Between Stochastic Differential Equations and the Martin–Siggia–Rose Formalism","authors":"Alberto Bonicelli, Claudio Dappiaggi, Nicolò Drago","doi":"10.1007/s00023-025-01571-1","DOIUrl":"10.1007/s00023-025-01571-1","url":null,"abstract":"<div>In the realm of complex systems, dynamics is often modeled in terms of a nonlinear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Gaussian white noise. In addition to a well-established collection of results proving existence and uniqueness of the solutions, it is of particular relevance the explicit computation of expectation values and correlation functions, since they encode the key physical information of the system under investigation. A pragmatically efficient way to dig out these quantities consists of the Martin–Siggia–Rose (MSR) formalism, which establishes a correspondence between a large class of SDEs and suitably constructed field theories formulated by means of a path-integral approach. Despite the effectiveness of this duality, there is no corresponding, mathematically rigorous proof of such correspondence. We address this issue using techniques proper of the algebraic approach to quantum field theories, which is known to provide a valuable framework to discuss rigorously the path-integral formulation of field theories as well as the solution theory both of ordinary and of partial, stochastic differential equations. In particular, working in this framework, we establish rigorously, albeit at the level of perturbation theory, a correspondence between correlation functions and expectation values computed either in the SDE or in the MSR formalism.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 4","pages":"1407 - 1449"},"PeriodicalIF":1.3,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01571-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Hitchin Image in Type-D d类型的Hitchin图像

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-04-17 DOI: 10.1007/s00023-025-01562-2

Aswin Balasubramanian, Jacques Distler, Ron Donagi, Carlos Perez-Pardavila

{"title":"The Hitchin Image in Type-D","authors":"Aswin Balasubramanian, Jacques Distler, Ron Donagi, Carlos Perez-Pardavila","doi":"10.1007/s00023-025-01562-2","DOIUrl":"10.1007/s00023-025-01562-2","url":null,"abstract":"<div>Motivated by their appearance as Coulomb branch geometries of Class S theories, we study the image of the local Hitchin map in tame Hitchin systems of type-D with residue in a special nilpotent orbit (mathcal {O}_H). We describe two important features that distinguish it from the type-A case studied in Balasubramanian et al. (Adv Theor Math Phys Ser 26(6):1585–1667, 2022. https://doi.org/10.4310/ATMP.2022.v26.n6.a2, arXiv:2008.01020 [hep-th]). The first feature, which we term even-type constraints, arises iff the partition label ([mathcal {O}_H]) has even parts. Our Hitchin image is non-singular and thus different from the one studied by Baraglia and Kamgarpour. We argue that our Hitchin image always globalizes to being the Hitchin base of an integrable system. The second feature, which we term odd-type constraints, is related to a particular finite group (overline{A}_b(mathcal {O}_H)) being non-trivial. This finite group parametrizes the choices for the local Hitchin base. Additionally, we also show that the finite group (overline{A}_b(mathcal {O}_H)) encodes the size of the dual special piece.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 5","pages":"1563 - 1605"},"PeriodicalIF":1.3,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147872272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Local Operators in the Sine-Gordon Model: (partial _mu phi , partial _nu phi ) and the Stress Tensor sin - gordon模型中的局部算子：(partial _mu phi , partial _nu phi )和应力张量

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-04-16 DOI: 10.1007/s00023-025-01565-z

Markus B. Fröb, Daniela Cadamuro

引用次数: 0

Boundary Conditions and the Two-Point Function Plateau for the Hierarchical (|varphi |^4) Model in Dimensions 4 and Higher 4维及以上层次(|varphi |^4)模型的边界条件和两点函数平台

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-04-15 DOI: 10.1007/s00023-025-01566-y

Jiwoon Park, Gordon Slade

{"title":"Boundary Conditions and the Two-Point Function Plateau for the Hierarchical (|varphi |^4) Model in Dimensions 4 and Higher","authors":"Jiwoon Park, Gordon Slade","doi":"10.1007/s00023-025-01566-y","DOIUrl":"10.1007/s00023-025-01566-y","url":null,"abstract":"<div>We obtain precise plateau estimates for the two-point function of the finite-volume weakly coupled hierarchical (|varphi |^4) model in dimensions (d ge 4), for both free and periodic boundary conditions and for any number (n ge 1) of components of the field (varphi ). We prove that, within a critical window around their respective effective critical points, the two-point functions for both free and periodic boundary conditions have a plateau, in the sense that they decay as (|x|^{-(d-2)}) until reaching a constant plateau value of order (V^{-1/2}) (with a logarithmic correction for (d=4)), where V is the size of the finite volume. The two critical windows for free and periodic boundary conditions do not overlap. The dependence of the plateau height on the location within the critical window is governed by an explicit n-dependent universal profile which is independent of the dimension. The proof is based on a rigorous renormalisation group method and extends the method used by Michta et al. (arXiv:2306.00896) to study the finite-volume susceptibility and related quantities. Our results lead to precise conjectures concerning Euclidean (non-hierarchical) models of spin systems and self-avoiding walk in dimensions (d ge 4).</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 4","pages":"1497 - 1561"},"PeriodicalIF":1.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Horizon Classification via Riemannian Flows 通过黎曼流进行层位分类

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-04-10 DOI: 10.1007/s00023-025-01570-2

Raymond A. Hounnonkpe, Ettore Minguzzi

引用次数: 0

The Spectrum of the Finite Open XX Quantum Spin Chain with Transverse Magnetic Boundary Fields via Orthogonal Polynomials 用正交多项式研究具有横向磁场边界场的有限开放XX量子自旋链的谱

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-04-09 DOI: 10.1007/s00023-025-01564-0

Jan Felipe van Diejen, Andrés Soledispa Tibán, Adrián Vidal

引用次数: 0

Symplectic Cuts and Open/Closed Strings II 辛切与开/闭弦2