Complete S-matrix of the O(2N) Gross-Neveu model

We conjecture the factorized scattering description for OSP (m/2n)/OSP (m − 1/2n) supersphere sigma models and OSP (m/2n) Gross Neveu models. The non unitarity of these field theories translates into a lack of 'physical unitarity' of the S matrices, which are instead unitary with respect to the non-positive scalar product inherited from the orthosymplectic structure. Nevertheless, we find that formal thermodynamic Bethe ansatz calculations appear meaningful, reproduce the correct central charges, and agree with perturbative calculations. This paves the way to a more thorough study of these and other models with supergroup symmetries using the S matrix approach.

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“…This is in agreement with the fundamental particles being bosons in the sigma model , and fermions in the Gross Neveu model [25].…”

Section: Algebraic Generalitiessupporting

confidence: 85%

Integrable quantum field theories with OSP(m/2n) symmetries

Saleur

Wehefritz-Kaufmann

2002

Nuclear Physics B

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“…The lattice time slice group LTS is generated by the USp(N) transformations, the spatial shift, the spatial inversion, and the discrete chiral transformation. The continuum time slice group CTS is generated by the O(4N) transformations, parity, and 5 . Note that we can ignore translations as we are only concerned with states of vanishing total momentum.…”

Section: The Gross-neveu Modelmentioning

confidence: 99%

“…and on antisymmetric tensors (anti.). The phase shifts in these three symmetry sectors are analytically known 4,5].…”

Section: The Gross-neveu Modelmentioning

confidence: 99%

Scattering phases for fermion-fermion scattering in the Gross-Neveu model

Göckeler

Kastrup

Viola

et al. 1996

Nuclear Physics B - Proceedings Supplements

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“…Their asymptotic behaviour for large real values of β is also quite different: the RSOS S-matrix goes to a definite limit while the S-matrix proposed by Zamolodchikov is oscillating. For the RSOS case, the finite limit of the S-matrix allows us to introduce generalized statistics of the kink excitations [15,16,17].…”

Section: Discussionmentioning

confidence: 99%

On the S Matrix of the Subleading Magnetic Deformation of the Tricritical Ising Model in Two Dimensions

Colomo

Mussardo

Koubek

1992

Int. J. Mod. Phys. A

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We compute the S-matrix of the Tricritical Ising Model perturbed by the subleading magnetic operator using Smirnov's RSOS reduction of the Izergin-Korepin model. The massive model contains kink excitations which interpolate between two degenerate asymmetric vacua. As a consequence of the different structure of the two vacua, the crossing symmetry is implemented in a non-trivial way. We use finite-size techniques to compare our results with the numerical data obtained by the Truncated Conformal Space Approach and find good agreement.

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Complete S-matrix of the O(2N) Gross-Neveu model

Cited by 103 publications

References 11 publications

Integrable quantum field theories with OSP(m/2n) symmetries

Integrable quantum field theories with OSP(m/2n) symmetries

Scattering phases for fermion-fermion scattering in the Gross-Neveu model

On the S Matrix of the Subleading Magnetic Deformation of the Tricritical Ising Model in Two Dimensions

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