Nobelpreis für Physik 1978

Lüscher, E.; Fritsch, Gerhard

doi:10.1002/piuz.19790100102

Cited by 39 publications

(89 citation statements)

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“…A special property is that these models have an infinite number of local [2] and non-local [3] classical conservation laws which survive quantization. At the quantum level they imply absence of particle production.…”

Section: O(n) Model and Structure Functionsmentioning

confidence: 99%

“…(5.104) and (5.105) can be obtained by tree-level perturbation theory, while the results necessary to write down the one-loop formula (5.106) can be found in [11]. Also the results of [3,11] show that the coefficient in (4.71) is given by…”

Section: Ope For the Currentsmentioning

confidence: 99%

“…in refs. [3], [11]. So far too little is rigorously known about the detailed structure of the OPE from the general principles of the bootstrap approach to obtain the explicit results below.…”

Section: The Operator Product Expansionmentioning

confidence: 99%

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Structure functions of the 2d non-linear sigma models

Balog

Weisz

2005

Nuclear Physics B

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We investigate structure functions in the 2-dimensional (asymptotically free) nonlinear O(n) σ-models using the non-perturbative S-matrix bootstrap program. In particular the exact small (Bjorken) x behavior is derived. Structure functions in the special case of the n = 3 model are accurately computed over the whole x range for −q 2 /M 2 < 10 5 , and some moments are compared with results from renormalized perturbation theory. Some results concerning the structure functions in the 1/n approximation are also presented.

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Section: O(n) Model and Structure Functionsmentioning

confidence: 99%

Section: Ope For the Currentsmentioning

confidence: 99%

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Structure functions of the 2d non-linear sigma models

Balog

Weisz

2005

Nuclear Physics B

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“…The nonlocal conserved currents we will describe in this section are the lattice analogues of those hidden in 2D massive current algebras [13] [14], see section 4.…”

Section: B) Fields Multipletsmentioning

confidence: 99%

Quantum Symmetries in 2D Massive Field Theories

Bernard

1992

NATO ASI Series

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“…Lüscher found non-local charges in massive two-dimensional quantum field theory [44], which were then identified as Yangian algebras by Bernard [45]. These methods were extended to WZW models on compact Lie groups in [46].…”

Section: Introductionmentioning

confidence: 99%

Yangian superalgebras in conformal field theory

Creutzig

2011

Nuclear Physics B

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Quantum Yangian symmetry in several sigma models with supergroup or supercoset as target is established. Starting with a two-dimensional conformal field theory that has current symmetry of a Lie superalgebra with vanishing Killing form we construct non-local charges and compute their properties. Yangian axioms are satisfied, except that the Serre relations only hold for a subsector of the space of fields. Yangian symmetry implies that correlation functions of fields in this sector satisfy Ward identities. We then show that this symmetry is preserved by certain perturbations of the conformal field theory. The main example are sigma models of the supergroups PSL(N|N), OSP(2N+2|2N) and D(2,1;α) away from the WZW point. Further there are the OSP(2N+2|2N) Gross-Neveu models and current-current perturbations of ghost systems, both for the disc as world-sheet. The latter we show to be equivalent to CP N−1|N sigma models, while the former are conjecturally dual to supersphere sigma models. *

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Nobelpreis für Physik 1978

Cited by 39 publications

References 0 publications

Structure functions of the 2d non-linear sigma models

Structure functions of the 2d non-linear sigma models

Quantum Symmetries in 2D Massive Field Theories

Yangian superalgebras in conformal field theory

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