Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/construction-of-wedge-local-nets-of-observables-through-longo-witten-MyDOclWJ9j
References (57)
-
R. Longo, E. Witten (2010)
An Algebraic Construction of Boundary Quantum Field TheoryCommunications in Mathematical Physics, 303
-
M. Bischoff, Yoh Tanimoto (2011)
Construction of Wedge-Local Nets of Observables through Longo-Witten Endomorphisms. IICommunications in Mathematical Physics, 317
-
(1986)
Loop groups. Oxford Mathematical Monographs -
Gandalf Lechner (2011)
Deformations of Quantum Field Theories and Integrable ModelsCommunications in Mathematical Physics, 312
-
R. Longo, Fengjun Xu (2003)
Topological Sectors and a Dichotomy in Conformal Field TheoryCommunications in Mathematical Physics, 251
-
Jϋrg Frόhlich (1993)
Operator Algebras and Conformal Field Theory -
D. Gross (2007)
Quantum Field Theory and BeyondProgress of Theoretical Physics Supplement, 170
-
S. Doplicher, R. Longo (1984)
Standard and split inclusions of von Neumann algebrasInventiones mathematicae, 75
-
(2003)
of Encyclopaedia of Mathematical Sciences. Operator Algebras and Non-commutative Geometry -
Yasuyuki Kawahigashi, R. Longo (2005)
Classification of local conformal nets -
D. Buchholz, H. Schulz-Mirbach (1990)
HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORYReviews in Mathematical Physics, 02
-
A. Wassermann (1998)
Operator algebras and conformal field theory III. Fusion of positive energy representations of LSU(N) using bounded operatorsInventiones mathematicae, 133
-
J. Dixmier (1981)
Von Neumann Algebras -
M. Takesaki (1979)
Theory of Operator Algebras II -
C. Dappiaggi, Gandalf Lechner, Eric Morfa-Morales (2010)
Deformations of Quantum Field Theories on Spacetimes with Killing Vector FieldsCommunications in Mathematical Physics, 305
-
H. Grosse, Gandalf Lechner (2008)
Noncommutative Deformations of Wightman Quantum Field TheoriesarXiv: Mathematical Physics
-
V. Kac (1997)
Vertex algebras for beginners -
H. Wiesbrock (1993)
Half-Sided modular inclusions of von-Neumann-AlgebrasCommunications in Mathematical Physics, 157
-
4) Positivity of energy. The joint spectrum of the translation subgroup R 2 of P ↑ + of U is contained in the forward lightcone V + = ( p 0 , p 1 ) R 2 : p 0 -
竹崎 正道 (2002)
Theory of operator algebras -
H. Borchers (1992)
The CPT-theorem in two-dimensional theories of local observablesCommunications in Mathematical Physics, 143
-
D. Buchholz, K. Fredenhagen (1977)
Dilations and InteractionJournal of Mathematical Physics, 18
-
Gandalf Lechner
Institute for Mathematical Physics Construction of Quantum Field Theories with Factorizing S–matrices Construction of Quantum Field Theories with Factorizing S-matrices -
M. Bischoff (2011)
Models in Boundary Quantum Field Theory Associated with Lattices and Loop Group ModelsCommunications in Mathematical Physics, 315
-
S. Aks (1965)
Proof that Scattering Implies Production in Quantum Field TheoryJournal of Mathematical Physics, 6
-
Yasuyuki Kawahigashi, R. Longo (2002)
Classification of local conformal nets. Case c < 1Annals of Mathematics, 160
-
V. Kac, A. Raina, N. Rozhkovskaya (1983)
Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras -
D. Buchholz, S. Summers (2008)
Warped Convolutions: A Novel Tool in the Construction of Quantum Field TheoriesarXiv: Mathematical Physics
-
D. Buchholz (1975)
Collision theory for waves in two dimensions and a characterization of models with trivialS-matrixCommunications in Mathematical Physics, 45
-
R. Brunetti, D. Guido, R. Longo (1993)
Modular structure and duality in conformal quantum field theoryCommunications in Mathematical Physics, 156
-
(2008)
Real Hilbert subspaces, modular theory, SL(2,R) and CFT -
W. Dybalski, Yoh Tanimoto (2011)
Asymptotic Completeness for Infraparticles in Two-Dimensional Conformal Field TheoryLetters in Mathematical Physics, 103
-
M. Florig (1998)
On Borchers' TheoremLetters in Mathematical Physics, 46
-
H. Grosse, Gandalf Lechner (2007)
Wedge-Local Quantum Fields and Noncommutative Minkowski SpaceJournal of High Energy Physics, 2007
-
D. Buchholz, C. D'antoni, R. Longo (1990)
Nuclear maps and modular structures. I. General propertiesJournal of Functional Analysis, 88
-
M. Reed, B. Simon (1975)
Fourier Analysis, Self-Adjointness -
Fengjun Xu (2003)
Strong additivity and conformal netsPacific Journal of Mathematics, 221
-
W. Driessler, J. Fröhlich (1977)
The reconstruction of local observable algebras from the euclidean Green's functions of relativistic quantum field theoryAnnales De L Institut Henri Poincare-physique Theorique, 27
-
H. Grosse, G. Lechner (2008)
Noncommutative deformations of Wightman quantum field theoriesJ. High Energy Phys. (9), 131
-
D. Buchholz, G. Mack, I. Todorov (1988)
The Current Algebra on the Circle as a Germ of Local Field Theories, 5
-
H. Araki, L. Zsidó (2004)
Extension of the Structure Theorem of Borchers and its Application to Half-Sided Modular InclusionsReviews in Mathematical Physics, 17
-
Mark Reed, H. Simon (1972)
Method of Modern Mathematical Physics -
(1981)
algebras, volume 27 of North-Holland Mathematical Library -
Yoh Tanimoto (2011)
Noninteraction of Waves in Two-dimensional Conformal Field TheoryCommunications in Mathematical Physics, 314
-
K. Rehren (1999)
Chiral Observables and Modular InvariantsCommunications in Mathematical Physics, 208
-
M. Weiner (1994)
Bosonic Construction of Vertex Operator Para-Algebras from Symplectic Affine Kac-Moody Algebras -
S. Carpi, Yasuyuki Kawahigashi, R. Longo (2007)
Structure and Classification of Superconformal NetsAnnales Henri Poincaré, 9
-
G. Lechner (2008)
Construction of quantum field theories with factorizing S-matricesCommun. Math. Phys., 277
-
R. Longo (2001)
Conformal Subnets and Intermediate SubfactorsCommunications in Mathematical Physics, 237
-
S. Carpi, M. Weiner (2004)
On the Uniqueness of Diffeomorphism Symmetry in Conformal Field TheoryCommunications in Mathematical Physics, 258
-
Fengjun Xu (1997)
JONES-WASSERMANN SUBFACTORS FOR DISCONNECTED INTERVALSCommunications in Contemporary Mathematics, 02
-
Existence of the vacuum. There is a unique (up to a phase) unit vector Ω 0 in H 0 which is invariant under the action of U 0 , and cyclic for W I ⋐ S 1 A 0 ( I ). 4 -
W. Dybalski, Yoh Tanimoto (2010)
Asymptotic Completeness in a Class of Massless Relativistic Quantum Field TheoriesCommunications in Mathematical Physics, 305
-
D. Buchholz, Gandalf Lechner, S. Summers (2010)
Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field TheoriesCommunications in Mathematical Physics, 304
-
R. Haag, M. Mayer (1992)
Local quantum physics -
T. Apostol (1976)
Introduction to analytic number theory -
Positivity of energy. The generator of the one-parameter subgroup of rotations in the representation U 0 is positive
- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by The Author(s)
- Subject
- Physics; Statistical Physics, Dynamical Systems and Complexity; Classical and Quantum Gravitation, Relativity Theory; Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics
- ISSN
- 0010-3616
- eISSN
- 1432-0916
- DOI
- 10.1007/s00220-012-1462-7
- Publisher site
- See Article on Publisher Site
Abstract
A convenient framework to treat massless two-dimensional scattering theories has been established by Buchholz. In this framework, we show that the asymptotic algebra and the scattering matrix completely characterize the given theory under asymptotic completeness and standard assumptions.
Journal
Communications in Mathematical Physics – Springer Journals
Published: Apr 8, 2012