Download e-book for iPad: Annales Henri Poincaré - Volume 10 by Vincent Rivasseau (Chief Editor)

By Vincent Rivasseau (Chief Editor)

Articles during this volume:

1-17
On the Ultraviolet challenge for the second Weakly Interacting Fermi Gas
Giuseppe Benfatto

19-34
Borchers’ Commutation kin for Sectors with Braid staff facts in Low Dimensions
Jens Mund

35-60
Dispersion family within the Noncommutative three and Wess–Zumino version within the Yang–Feldman Formalism
Claus Döscher and Jochen Zahn

61-93
The influence of Time-Dependent Coupling on Non-Equilibrium regular States
Horia D. Cornean, Hagen Neidhardt and Valentin A. Zagrebnov

95-122
Sharp Asymptotics for the Neumann Laplacian with Variable Magnetic box: Case of size 2
Nicolas Raymond

123-143
Spectral and Scattering conception of Friedrichs versions at the confident part Line with Hilbert–Schmidt Perturbations
Hellmut Baumgärtel

145-187
Mean-Field restrict and Semiclassical enlargement of a Quantum Particle System
Federica Pezzotti and Mario Pulvirenti

189-223
The hint formulation for Quantum Graphs with basic Self Adjoint Boundary Conditions
Jens Bolte and Sebastian Endres

225-274
Dynamics of Bianchi sort I strategies of the Einstein Equations with Anisotropic Matter
Simone Calogero and J. Mark Heinzle

275-337
Convergent Null information Expansions at Space-Like Infinity of desk bound Vacuum Solutions
Andrés E. Aceña

339-356
Octonionic Twists for Supermembrane Matrix Models
Jens Hoppe, Douglas Lundholm and Maciej Trzetrzelewski

357-375
Unbounded Orbits for Semicircular Outer Billiard
Dmitry Dolgopyat and Bassam Fayad

377-394
On Confining Potentials and crucial Self-Adjointness for Schrödinger Operators on Bounded domain names in Rn
Gheorghe Nenciu and Irina Nenciu

395-414
A decrease certain at the First Spectral hole of Schrödinger Operators with Kato type Measures
Hendrik Vogt

415-428
High Frequency Dispersive Estimates in measurement Two
Simon Moulin

429-451
Entropy and rot of Correlations for genuine Analytic Semi-Flows
Frédéric Naud

453-484
A Space-Time Characterization of the Kerr–Newman Metric
Willie W. Wong

485-511
Scaling restrict for Subsystems and Doplicher–Roberts Reconstruction
Roberto Conti and Gerardo Morsella

513-548
Bethe Ansatz for the common Weight Function
Luc Frappat, Sergey Khoroshkin, Stanislav Pakuliak and Éric Ragoucy

549-571
Scattering at 0 strength for beautiful Homogeneous Potentials
Jan Dereziński and Erik Skibsted

573-575
A word on Low power Scattering for Homogeneous Long-Range Potentials
Rupert L. Frank

577-621
Analytic Perturbation conception and Renormalization research of subject Coupled to Quantized Radiation
Marcel Griesemer and David G. Hasler

623-671
Regularity stipulations for Einstein’s Equations at Spatial Infinity
Juan Antonio Valiente Kroon

673-709
Multilinear Eigenfunction Estimates for the Harmonic Oscillator and the Nonlinear Schrödinger Equation with the Harmonic Potential
Takafumi Akahori and Kenichi Ito

711-747
Weyl legislation for partly Open Quantum Maps
Emmanuel Schenck

749-771
Analyticity for a few Operator services from Statistical Quantum Mechanics
Kurt Hoke, Hans-Christoph Kaiser and Joachim Rehberg

773-792
Upper Estimates of the Density of States in a single measurement Interpolating among the Wegner and the Lifshitz Regime
Bernd Metzger

793-822
Operator Theoretic equipment for the Eigenvalue Counting functionality in Spectral Gaps
Alexander Pushnitski

823-866
First Order process and Index Theorems for Discrete and Metric Graphs
Olaf Post

867-891
Tree Quantum box Theory
Razvan Gurau, Jacques Magnen and Vincent Rivasseau

893-912
Topological Censorship for Kaluza–Klein Space-Times
Piotr T. Chruściel, Gregory J. Galloway and Didier Solis

913-953
Physical kingdom for Nonrelativistic Quantum Electrodynamics
Fumio Hiroshima and Akito Suzuki

955-994
Supersymmetric Quantum box conception: Indefinite Metric
Florin Constantinescu

995-1025
Poisson and Diffusion Approximation of Stochastic grasp Equations with Control
Clément Pellegrini

1027-1073
Topological positive aspects of huge Bosons on Two-Dimensional Einstein Space–Time
Romeo Brunetti, Lorenzo Franceschini and Valter Moretti

1075-1095
The internal Cauchy Horizon of Axisymmetric and desk bound Black Holes with Surrounding topic in Einstein–Maxwell idea: learn by way of Soliton Methods
Jörg Hennig and Marcus Ansorg

1097-1110
On the Spectrum of the Resonant Quantum Kicked Rotor
Italo Guarneri

1111-1139
Hecke Eigenfunctions of Quantized Cat Maps Modulo best Powers
Rikard Olofsson

1141-1158
A Galton–Watson Estimate for Dyson Series
Hans Maassen and Dmitri Botvich

1159-1205
On balance of Pseudo-Conformal Blowup for L2-critical Hartree NLS
Joachim Krieger, Enno Lenzmann and Pierre Raphaël

1207-1222
The floor kingdom of Relativistic Ions within the restrict of excessive Magnetic Fields
Doris H. Jakubassa-Amundsen

1223-1249
Dynamical part Transition for a Quantum Particle Source
Maximilian Butz and Herbert Spohn

1251-1284
Repeated and non-stop Interactions in Open Quantum Systems
Laurent Bruneau, Alain Joye and Marco Merkli

1285-1309
Gell-Mann and occasional formulation for Degenerate Unperturbed States
Christian Brouder, Gianluca Panati and Gabriel Stoltz

1311-1333
Non-Existence and specialty effects for Supercritical Semilinear Elliptic Equations
Jean Dolbeault and Robert Stańczy

1335-1358
Hilbert Lattice Equations
Norman D. Megill and Mladen Pavičić

1359-1376
Formation of Higher-dimensional Topological Black Holes
Filipe C. Mena, José Natário and Paul Tod

1377-1393
Perturbation strategy for Particle-like recommendations of the Einstein–Dirac Equations
Simona Rota Nodari

1395-1417
On Heisenberg-like great staff Structures
Ramon Peniche and O. A. Sánchez-Valenzuela

1419-1436
Invariant Tori in Hamiltonian platforms with excessive Order right Degeneracy
Yuecai Han, Yong Li and Yingfei Yi

1437-1486
A Gluing development relating to element debris ordinarily Relativity
Iva Stavrov Allen

1487-1535
A development of continuing Scalar Curvature Manifolds with Delaunay-type Ends
Almir Silva Santos

1537-1557
All Vacuum close to Horizon Geometries in D-dimensions with (D − three) Commuting Rotational Symmetries
Stefan Hollands and Akihiro Ishibashi

1559-1604
The flooring nation and the Long-Time Evolution within the CMC Einstein Flow
Martin Reiris

1605-1610
On ordinary Superhomogeneous versions for Minkowski Superspacetime
Ramon Peniche, G. Salgado and O. A. Sánchez-Valenzuela

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1007/s00023-009-0401-4 Annales Henri Poincar´ e Dispersion Relations in the Noncommutative φ3 and Wess–Zumino Model in the Yang–Feldman Formalism Claus D¨oscher and Jochen Zahn Abstract. We study dispersion relations in the noncommutative φ3 and Wess– Zumino model in the Yang–Feldman formalism at one-loop order. Nonplanar graphs lead to a distortion of the dispersion relation. We find that the strength of this effect is moderate if the scale of noncommutativity is identified with the Planck scale and parameters typical for a Higgs field are employed.

The group velocity The sum of the zeroth order term (3) and the second order contribution (8) can be interpreted as the expansion (in λ) of 2π 0 ˆ d4 k fˆ(−k)h(k)θ(k )δ k 2 − m2 + λ2 Σ k 2 , (kσ)2 + O(λ4 ) . (11) This can be interpreted as a change of the dispersion relation. 2. This modification of the dispersion relation is a manifestation of the breaking of particle Lorentz invariance, cf. the discussion in the introduction. However, particle Lorentz invariance of the asymptotic fields is a crucial ingredient of scattering theory and the LSZ relations, which are part of the foundations of quantum field theory.

D¨ oscher and J. Zahn Ann. Henri Poincar´e As we will see later, the third term is a contribution to the continuous spectrum and thus not interesting at the moment. o. o. stands for a term that is normal ordered and whose spectrum has no overlap with the positive or negative mass shell if the support of gˆ is chosen small enough. Thus, this term drops out in the first two terms in (6). As shown ˇ can be identified with the inverse Fourier transform of the self-energy. It below, Σ will in general be divergent and has to be renormalized, which we assume in the following.

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