Exact form factors of the Gross–Neveu model and expansion

Babujian, H.; Foerster, Angela; Karowski, M.

doi:10.1016/j.nuclphysb.2009.09.023

Cited by 20 publications

(32 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which up to a constant is the same as in [3,10]. On the other hand the operator Λ P N −1 1 N (α) leads to…”

Section: Form Factors Of the Current Operatorsmentioning

confidence: 81%

“…Finding the correct operator representation that will give rise to generating functions that contain form factors of the stress-energy tensor remains an open problem. It would also be interesting to try to establish how the free field approach is related to the off-shell Bethe ansatz approach as appears in [9] and [10]. Obviously, the resulting form factors are the same (as they must be), so there should be some way to understand the correlation between the methods.…”

Section: Resultsmentioning

confidence: 99%

“…[3]- [10] and references therein. Finding a solution to the axioms is a complicated problem which requires understanding and employing the form factors' analytic properties.…”

Section: Introductionmentioning

confidence: 99%

“…The exact GN S-matrix was found by combining the SU(N) invariance with the 1/N expansion [29]- [32]. The chiral GN model was extensively studied in the axiomatic approach in [3,8,10] where form factors of several local operators were constructed. It is therefore useful for understanding how the free field approach works in case of models containing bound states and invariant under higher-rank symmetry algebras.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Free field representation and form factors of the chiral Gross-Neveu model

Britton

Frolov

2013

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…which up to a constant is the same as in [3,10]. On the other hand the operator Λ P N −1 1 N (α) leads to…”

Section: Form Factors Of the Current Operatorsmentioning

confidence: 81%

Section: Resultsmentioning

confidence: 99%

“…[3]- [10] and references therein. Finding a solution to the axioms is a complicated problem which requires understanding and employing the form factors' analytic properties.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Free field representation and form factors of the chiral Gross-Neveu model

Britton

Frolov

2013

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…See the most recent one[7] and the references quoted therein.5 I recall warnings by Källén, Lehmann, Jost, Martin and others.…”

mentioning

confidence: 97%

A Critical Look at 50 Years Particle Theory from the Perspective of the Crossing Property

Schroer

2010

Found Phys

View full text Add to dashboard Cite

The crossing property is perhaps the most subtle aspect of the particlefield relation. Although it is not difficult to state its content in terms of certain analytic properties relating different matrixelements of the S-matrix or formfactors, its relation to the localization-and positive energy spectral principles requires a level of insight into the inner workings of QFT which goes beyond anything which can be found in typical textbooks on QFT. This paper presents a recent account based on new ideas derived from "modular localization" including a mathematic appendix on this subject. Its main achievement is the proof of the crossing property from a two-algebra generalization of the KMS condition.The main content is an in-depth criticism of the dual model and its string theoretic extension. The conceptual flaws of these models are closely related to misunderstandings of crossing. The correct interpretation of string theory is that of a dynamic infinite component one particle space where "dynamic" means that, unlike a mere collection of independent free fields, the formalism contains also operators which communicate between the different irreducible Poincaré representations and set the mass/spin spectrum. Whereas in pre-string times there were unsuccessful attempts to achieve this in analogy to the O(4, 2) hydrogen spectrum by the use of higher noncompact groups, the superstring in d = 9 + 1, which uses instead (bosonic/fermionic) oscillators obtained from multicomponent chiral currents, is the only known solution of the dynamical infinite component pointlike field (or pointlike generated wave function) project. Dedicated to Ivan Todorov on the occasion of his 75th birthday. B. Schroer ( ) CBPF, Rua Dr. Xavier Sigaud 150,

show abstract

Bethe Ansatz and exact form factors of the O (N) Gross Neveu-model

Babujian

Foerster

Karowski

2016

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We apply previous results on the O(N ) Bethe Ansatz [1-3] to construct a general form factor formula for the O(N ) Gross-Neveu model. We examine this formula for several operators, such as the energy momentum, the spin-field and the current. We also compare these results with the 1/N expansion of this model and obtain full agreement. We discuss bound state form factors, in particular for the three particle form factor of the field. In addition for the two particle case we prove a recursion relation for the K-functions of the higher level Bethe Ansatz.

show abstract

Exact form factors of the Gross–Neveu model and expansion

Cited by 20 publications

References 39 publications

Free field representation and form factors of the chiral Gross-Neveu model

Free field representation and form factors of the chiral Gross-Neveu model

A Critical Look at 50 Years Particle Theory from the Perspective of the Crossing Property

Bethe Ansatz and exact form factors of the O (N) Gross Neveu-model

Contact Info

Product

Resources

About