Annales Henri Poincaré最新文献_第2页

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-04 DOI: 10.1007/s00023-024-01476-5

Andrzej Herdegen

{"title":"Undressing the Electron","authors":"Andrzej Herdegen","doi":"10.1007/s00023-024-01476-5","DOIUrl":"10.1007/s00023-024-01476-5","url":null,"abstract":"<div>The extended algebra of the free electromagnetic fields, including infrared-singular fields, and the almost radial gauge, both introduced earlier, are postulated for the construction of the quantum electrodynamics in a Hilbert space (no indefinite metric). Both the Dirac and electromagnetic fields are constructed up to the first order (based on the incoming fields) as operators in the Hilbert space and shown to have physically well-interpretable asymptotic behavior in far past and spacelike separations. The Dirac field tends in far past to the free incoming field, carrying its own Coulomb field, but with no ‘soft photon dressing.’ The spacelike asymptotic limit of the electromagnetic field yields a conserved operator field, which is a sum of contributions of the incoming Coulomb field, and of the low-energy limit of the incoming free electromagnetic field. This should agree with the operator field similarly constructed with the use of outgoing fields, which then relates these past and future characteristics. Higher orders are expected not to change this picture, but their construction needs a treatment of the UV question, which has not been undertaken and remains a problem for further investigation.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 4","pages":"1443 - 1476"},"PeriodicalIF":1.4,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01476-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216788","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

Classical Dynamical r-matrices for the Chern–Simons Formulation of Generalized 3d Gravity 广义三维引力的切尔-西蒙斯公式的经典动力学 r 矩阵

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-03 DOI: 10.1007/s00023-024-01477-4

Juan Carlos Morales Parra, Bernd J. Schroers

引用次数: 0

Anisotropic Ising Model in (d+s) Dimensions 各向异性等效模型在 $$d+s$$ 维度上的应用

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-08-27 DOI: 10.1007/s00023-024-01475-6

Estevão F. Borel, Aldo Procacci, Rémy Sanchis, Roger W. C. Silva

引用次数: 0

Graph Hörmander Systems 霍尔曼德系统图

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-08-17 DOI: 10.1007/s00023-024-01474-7

Haojian Li, Marius Junge, Nicholas LaRacuente

引用次数: 0

The Sobolev Wavefront Set of the Causal Propagator in Finite Regularity 有限正则因果传播者的索波列夫波前集

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-07-27 DOI: 10.1007/s00023-024-01462-x

Yafet E. Sanchez Sanchez, Elmar Schrohe

{"title":"The Sobolev Wavefront Set of the Causal Propagator in Finite Regularity","authors":"Yafet E. Sanchez Sanchez, Elmar Schrohe","doi":"10.1007/s00023-024-01462-x","DOIUrl":"10.1007/s00023-024-01462-x","url":null,"abstract":"<div>Given a globally hyperbolic spacetime (M={mathbb {R}}times Sigma ) of dimension four and regularity (C^tau ), we estimate the Sobolev wavefront set of the causal propagator (K_G) of the Klein–Gordon operator. In the smooth case, the propagator satisfies (WF'(K_G)=C), where (Csubset T^*(Mtimes M)) consists of those points ((tilde{x},tilde{xi },tilde{y},tilde{eta })) such that (tilde{xi },tilde{eta }) are cotangent to a null geodesic (gamma ) at (tilde{x}) resp. (tilde{y}) and parallel transports of each other along (gamma ). We show that for (tau >2), <div><div>$$begin{aligned} WF'^{-2+tau -{epsilon }}(K_G)subset C end{aligned}$$</div></div>for every ({epsilon }>0). Furthermore, in regularity (C^{tau +2}) with (tau >2), <div><div>$$begin{aligned} Csubset WF'^{-frac{1}{2}}(K_G)subset WF'^{tau -epsilon }(K_G)subset C end{aligned}$$</div></div>holds for (0<epsilon <tau +frac{1}{2}). In the ultrastatic case with (Sigma ) compact, we show (WF'^{-frac{3}{2}+tau -epsilon }(K_G)subset C) for (epsilon >0) and (tau >2) and (WF'^{-frac{3}{2}+tau -epsilon }(K_G)= C) for (tau >3) and (epsilon <tau -3). Moreover, we show that the global regularity of the propagator (K_G) is (H^{-frac{1}{2}-epsilon }_{loc}(Mtimes M)) as in the smooth case.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 4","pages":"1375 - 1406"},"PeriodicalIF":1.4,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01462-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141774520","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

Correction to: ‘On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model’ Correction to：论随机非交换几何激励的多矩阵模型 II：杨-米尔斯-希格斯矩阵模型

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-07-18 DOI: 10.1007/s00023-024-01456-9

Carlos I. Perez-Sanchez

引用次数: 0

Discrete Symplectic Fermions on Double Dimers and Their Virasoro Representation

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-07-17 DOI: 10.1007/s00023-024-01455-w

David Adame-Carrillo

引用次数: 0

Painlevé Kernels and Surface Defects at Strong Coupling 强耦合下的潘列韦核与表面缺陷

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-07-14 DOI: 10.1007/s00023-024-01469-4

Matijn François, Alba Grassi

{"title":"Painlevé Kernels and Surface Defects at Strong Coupling","authors":"Matijn François, Alba Grassi","doi":"10.1007/s00023-024-01469-4","DOIUrl":"https://doi.org/10.1007/s00023-024-01469-4","url":null,"abstract":"It is well established that the spectral analysis of canonically quantized four-dimensional Seiberg–Witten curves can be systematically studied via the Nekrasov–Shatashvili functions. In this paper, we explore another aspect of the relation between ({mathcal {N}}=2) supersymmetric gauge theories in four dimensions and operator theory. Specifically, we study an example of an integral operator associated with Painlevé equations and whose spectral traces are related to correlation functions of the 2d Ising model. This operator does not correspond to a canonically quantized Seiberg–Witten curve, but its kernel can nevertheless be interpreted as the density matrix of an ideal Fermi gas. Adopting the approach of Tracy and Widom, we provide an explicit expression for its eigenfunctions via an ({{,mathrm{O(2)},}}) matrix model. We then show that these eigenfunctions are computed by surface defects in ({{,mathrm{SU(2)},}}) super Yang–Mills in the self-dual phase of the (Omega )-background. Our result also yields a strong coupling expression for such defects which resums the instanton expansion. Even though we focus on one concrete example, we expect these results to hold for a larger class of operators arising in the context of isomonodromic deformation equations.","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"33 1","pages":""},"PeriodicalIF":1.55,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141609037","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

Renormalization of Higher Currents of the Sine-Gordon Model in pAQFT pAQFT 中辛-戈登模型高次电流的重正化

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-07-12 DOI: 10.1007/s00023-024-01468-5

Fabrizio Zanello

引用次数: 0

On Lieb–Robinson Bounds for a Class of Continuum Fermions 关于一类连续费米子的列布-罗宾逊边界

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-07-12 DOI: 10.1007/s00023-024-01453-y

Benjamin Hinrichs, Marius Lemm, Oliver Siebert

引用次数: 0