Annales Henri Poincaré最新文献_第2页

The Quantization of Proca Fields on Globally Hyperbolic Spacetimes: Hadamard States and Møller Operators 全局双曲时空上Proca场的量子化:Hadamard态和Møller算子

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-05-29 DOI: 10.1007/s00023-023-01326-w

Valter Moretti, Simone Murro, Daniele Volpe

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引用次数: 1

Quand Galilée et Carroll engendrent Lorentz 当伽利略和卡罗尔生下洛伦兹时

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-05-14 DOI: 10.1007/s00023-023-01321-1

Jean-Marc Lévy-Leblond

引用次数: 1

Cosmological de Sitter Solutions of the Semiclassical Einstein Equation 半经典爱因斯坦方程的宇宙学德西特解

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-05-09 DOI: 10.1007/s00023-023-01315-z

Hanno Gottschalk, Nicolai R. Rothe, Daniel Siemssen

{"title":"Cosmological de Sitter Solutions of the Semiclassical Einstein Equation","authors":"Hanno Gottschalk, Nicolai R. Rothe, Daniel Siemssen","doi":"10.1007/s00023-023-01315-z","DOIUrl":"10.1007/s00023-023-01315-z","url":null,"abstract":"<div>Exponentially expanding space–times play a central role in contemporary cosmology, most importantly in the theory of inflation and in the dark energy driven expansion in the late universe. In this work, we give a complete list of de Sitter solutions of the semiclassical Einstein equation (SCE), where classical gravity is coupled to the expected value of a renormalized stress–energy tensor of a free quantum field in the Bunch–Davies state. To achieve this, we explicitly determine the stress–energy tensor associated with the Bunch–Davies state using the recently proposed “moment approach” on the cosmological coordinate patch of de Sitter space. From the energy component of the SCE, we thus obtain an analytic consistency equation for the model’s parameters which has to be fulfilled by solutions to the SCE. Using this equation, we then investigate the number of solutions and the structure of the solution set in dependency on the coupling parameter of the quantum field to the scalar curvature and renormalization constants using analytic arguments in combination with numerical evidence. We also identify parameter sets where multiple expansion rates separated by several orders of magnitude are possible. Potentially for such parameter settings, a fast (semi-stable) expansion in the early universe could be compatible with a late-time “Dark Energy-like” behavior of the universe.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"24 9","pages":"2949 - 3029"},"PeriodicalIF":1.5,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-023-01315-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4394112","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: 3

Dispersive Estimates for Linearized Water Wave-Type Equations in (mathbb {R}^d) （mathbb｛R｝^d）中线性水波型方程的色散估计

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-05-08 DOI: 10.1007/s00023-023-01322-0

Tilahun Deneke, Tamirat T. Dufera, Achenef Tesfahun

引用次数: 1

On the Mass Dependence of the Modular Operator for a Double Cone 双锥模算子的质量依赖性

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-05-04 DOI: 10.1007/s00023-023-01311-3

Henning Bostelmann, Daniela Cadamuro, Christoph Minz

引用次数: 5

Anisotropic Spin Generalization of Elliptic Macdonald–Ruijsenaars Operators and R-Matrix Identities 椭圆型Macdonald-Ruijsenaars算子和r -矩阵恒等式的各向异性自旋推广

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-05-03 DOI: 10.1007/s00023-023-01316-y

M. Matushko, Andrei Zotov

引用次数: 9

Lower Bound to the Entanglement Entropy of the XXZ Spin Ring XXZ自旋环纠缠熵的下界

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-05-02 DOI: 10.1007/s00023-023-01318-w

Christoph Fischbacher, Ruth Schulte

引用次数: 3

Integrable Degenerate (varvec{mathcal {E}})-Models from 4d Chern–Simons Theory 可积退化(varvec{mathcal {E}}) - 4d chen - simons理论的模型

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-04-30 DOI: 10.1007/s00023-023-01317-x

Joaquin Liniado, Benoît Vicedo

{"title":"Integrable Degenerate (varvec{mathcal {E}})-Models from 4d Chern–Simons Theory","authors":"Joaquin Liniado, Benoît Vicedo","doi":"10.1007/s00023-023-01317-x","DOIUrl":"10.1007/s00023-023-01317-x","url":null,"abstract":"<div>We present a general construction of integrable degenerate (mathcal {E})-models on a 2d manifold (Sigma ) using the formalism of Costello and Yamazaki based on 4d Chern–Simons theory on (Sigma times {mathbb {C}}{P}^1). We begin with a physically motivated review of the mathematical results of Benini et al. (Commun Math Phys 389(3):1417–1443, 2022. https://doi.org/10.1007/s00220-021-04304-7) where a unifying 2d action was obtained from 4d Chern–Simons theory which depends on a pair of 2d fields h and ({mathcal {L}}) on (Sigma ) subject to a constraint and with ({mathcal {L}}) depending rationally on the complex coordinate on ({mathbb {C}}{P}^1). When the meromorphic 1-form (omega ) entering the action of 4d Chern–Simons theory is required to have a double pole at infinity, the constraint between h and ({mathcal {L}}) was solved in Lacroix and Vicedo (SIGMA 17:058, 2021. https://doi.org/10.3842/SIGMA.2021.058) to obtain integrable non-degenerate (mathcal {E})-models. We extend the latter approach to the most general setting of an arbitrary 1-form (omega ) and obtain integrable degenerate (mathcal {E})-models. To illustrate the procedure, we reproduce two well-known examples of integrable degenerate (mathcal {E})-models: the pseudo-dual of the principal chiral model and the bi-Yang-Baxter (sigma )-model.\u0000</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"24 10","pages":"3421 - 3459"},"PeriodicalIF":1.5,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-023-01317-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"6713727","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: 1

Cherenkov Radiation with Massive Bosons and Quantum Friction 具有大质量玻色子的切伦科夫辐射和量子摩擦

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-04-26 DOI: 10.1007/s00023-023-01312-2

Mitia Duerinckx, Christopher Shirley

{"title":"Cherenkov Radiation with Massive Bosons and Quantum Friction","authors":"Mitia Duerinckx, Christopher Shirley","doi":"10.1007/s00023-023-01312-2","DOIUrl":"10.1007/s00023-023-01312-2","url":null,"abstract":"<div>This work is devoted to several translation-invariant models in nonrelativistic quantum field theory (QFT), describing a nonrelativistic quantum particle interacting with a quantized relativistic field of bosons. In this setting, we aim at the rigorous study of Cherenkov radiation or friction effects at small disorder, which amounts to the metastability of the embedded mass shell of the bare nonrelativistic particle when the coupling to the quantized field is turned on. Although this problem is naturally approached by means of Mourre’s celebrated commutator method, important regularity issues are known to be inherent to QFT models and restrict the application of the method. In this perspective, we introduce a novel non-standard procedure to construct Mourre conjugate operators, which differs from second quantization and allows to circumvent many regularity issues. To show its versatility, we apply this construction to the Nelson model with massive bosons, to Fröhlich’s polaron model, and to a quantum friction model with massless bosons introduced by Bruneau and De Bièvre: for each of those examples, we improve on previous results.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"24 8","pages":"2743 - 2798"},"PeriodicalIF":1.5,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-023-01312-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4993186","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: 1

Positive Measure of Effective Quasi-Periodic Motion Near a Diophantine Torus 丢番图环附近有效准周期运动的正测度

IF 1.5 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2023-04-25 DOI: 10.1007/s00023-023-01302-4

Abed Bounemoura, Gerard Farré

引用次数: 0