@article{AIHPA_1996__64_4_523_0, author = {Fredenhagen, K. and Gaberdiel, M. R.}, title = {Scattering theory for plektons in 2 + 1 dimensions}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {523--541}, publisher = {Gauthier-Villars}, volume = {64}, number = {4}, year = {1996}, mrnumber = {1407759}, zbl = {0860.47050}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1996__64_4_523_0/} }
TY - JOUR AU - Fredenhagen, K. AU - Gaberdiel, M. R. TI - Scattering theory for plektons in 2 + 1 dimensions JO - Annales de l'I.H.P. Physique théorique PY - 1996 SP - 523 EP - 541 VL - 64 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1996__64_4_523_0/ LA - en ID - AIHPA_1996__64_4_523_0 ER -
Fredenhagen, K.; Gaberdiel, M. R. Scattering theory for plektons in 2 + 1 dimensions. Annales de l'I.H.P. Physique théorique, Tome 64 (1996) no. 4, pp. 523-541. http://www.numdam.org/item/AIHPA_1996__64_4_523_0/
[1] The collected papers of E. ARTIN. Addison-Wesley, 1965. | MR
. In: LANG S. and TATE J. E. Eds.[2] Locality and the structure of particle states. Commun. Math. Phys., Vol. 84, 1982, pp. 1-54. | MR | Zbl
and ,[3] Local Observables and particle statistics I + II. Commun. Math. Phys., Vol. 23, 1971, pp. 199-230 and Vol. 35, 1974, pp. 49-85. | MR
, and ,[4] Why there is a Field Algebra with a Compact Gauge Group Describing the Superselection Structure in Particle Physics, Commun. Math. Phys., Vol. 131, 1990, pp. 51-107. | MR | Zbl
and ,[5] Conformal field theories with nonabelian symmetry group. Phys. Lett., Vol. B277, 1992, pp. 423-434, , Multivalued fields on the complex plane and braid group statistics. Int. Journ. Mod. Phys., Vol. A9, 1994, pp. 313-326. | MR | Zbl
,[6] On the existence of antiparticles, Commun. Math. Phys., Vol. 79, 1981, pp. 141-151. | MR
,[7] Sum rules for spins in (2 + 1)-dimensional quantum field theory. In: DOEBNER H. D. and HENNIG J. Eds. Quantum Groups. Proceedings, Quantum Group Workshop Clausthal 1989. Lecture Notes in Physics, Vol. 370, pp. 340-348, Springer 1990. | MR | Zbl
,[8] Generalizations of the theory of superselection sectors. In: KASTLER Ed, The Algebraic Theory of Superselection Sectors, pp. 379-387. World Scientific 1990. | MR
,[9] Structure of Superselection Sectors in Low Dimensional Quantum Field Theory. In: CHAU L. L. and NAHM W. Eds., Differential Geometric Methods in Theoretical Physics. Plenum Press 1990. | MR
,[10] Global observables in local quantum physics. In: ARAKI H. et al. Eds., Quantum and Non-Commutative Analysis, pp. 41-51. Kluwer 1993. | MR | Zbl
,[11]
and : in preparation.[12] Scattering States of Plektons (Particles with Braid Group Statistics) in 2 + 1 Dimensional Quantum Field Theory. DAMTP-94-90, to appear in Commun. Math. Phys. | MR | Zbl
, and ,[13] Superselection sectors with braid group statistics and exchange algebras. I: General theory, II: Geometric aspects and conformal covariance. Commun. Math. Phys., Vol. 125, 1989, pp. 201-226 and Rev. Math. Phys., Special Issue, 1992, pp. 113-157. | MR | Zbl
, . and ,[14] Braid Statistics in Local Quantum Field Theory, Rev. Math.. Phys., Vol. 2, 1990, pp. 251. | MR | Zbl
and ,[15] Spin-statistics theorem and scattering in planar quantum field theories with braid statistics. Nucl. Phys., Vol. B356, 1991, pp. 533-573. | MR
and ,[16] Relativistic invariance and large conjugation in quantum field theory. Commun. Math. Phys., Vol. 148, 1992, pp. 521-551. | MR | Zbl
and ,[17] Quantum field theories with composite particles and asymptotic completeness. Phys. Rev., Vol. 112, 1958, pp. 669-673; , On the asymptotic condition in quantum field theory. Helv. Phys. Acta, Vol. 35, 1962, pp. 147-163. | MR
,[18] Local Quantum Physics. Springer 1992. | MR | Zbl
,[19] Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations. Phys. Rev. Lett., Vol. 50, 1983, pp. 1395-1398; , et al., The fractional quantum Hall effect, Chern-Simons theory, and integral lattices. Preprint, ETH-TH/94-18.
,[20] On the theory of identical particles. Il Nuovo Cimento, Vol. 37B, 1977, pp. 1-23.
, ,[21] Index of subfactors and statistics of quantum fields I + II. Commun. Math. Phys., Vol. 126, 1989, pp. 217-247 and Vol. 130, 1990, pp. 285-309. | MR | Zbl
,[22] Conformal field algebras with quantum symmetry from the theory of superselection sectors, Commun. Math. Phys., Vol. 134, 1990, pp. 139-196. | MR | Zbl
and ,[23] Hilbert spaces for nonrelativistic and relativistic 'Free' Plektons (particles with braid group statistics). SFB 288 Preprint No. 74, 1993.
and ,[24] Methods of modem mathematical physics. III Scattering Theory. Academic Press 1979. | MR | Zbl
and ,[25] Einstein causality and Artin braids. Nucl. Phys., Vol. B312, 1989, pp. 715-750. | MR
and ,[26] Field operators for anyons and plektons, Commun. Math. Phys., Vol. 145, 1992, pp. 123-148. | MR | Zbl
,[27] The Statistical Dimension, Conjugation and the Jones Index. To appear in Rev. Math. Phys. | MR | Zbl
,[28] Scattering properties of anyons and plektons. Presented at the "XXIV Symposium of the theory of elementary particles" in Gosen, Berlin, 1990.
,[29] The Topology of Fiber Bundles, Princeton University Press, 1951. | Zbl
,[30] Notes on Hilbert spaces with braid group statistics. (Unpublished notes 1989).
,[31] Topological Spin-Statistics relation in quantum field theory. Int. Journ. Theor. Phys., Vol. 28, 10, 1989, pp. 1269-1310. | MR | Zbl
,[32] Quantum Mechanics of Fractional-Spin Particles, Phys. Rev. Lett., Vol. 49, 1982, pp. 957-959. | MR
,