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

Göckeler, M.; Kastrup, H.A.; Viola, Jörg; Westphalen, J.

doi:10.1016/0920-5632(96)00185-5

Cited by 4 publications

(7 citation statements)

References 8 publications

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“…The basic formulae for Lüscher's method have also been derived in a fermionic theory [11]. The agreement of the numerical data with the predicted scattering phases for the fermion-fermion scattering in the Gross-Neveu model in two dimensions [12] confirms the usefulness of Lüscher's method also in fermionic models.…”

Section: Introductionmentioning

confidence: 63%

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Mass spectrum and elastic scattering in the massive SU(2)f Schwinger model on the lattice

1999

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We calculate numerically scattering phases for elastic meson-meson scattering processes in the strongly coupled massive Schwinger-model with an SU(2) flavour symmetry. These calculations are based on Lüscher's method in which finite size effects in two-particle energies are exploited. The results from Monte-Carlo simulations with staggered fermions for the lightest meson ("pion") are in good agreement with the analytical strong-coupling prediction. Furthermore, the mass spectrum of low-lying mesonic states is investigated numerically. We find a surprisingly rich spectrum in the mass region [m π , 4m π ].

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Section: Introductionmentioning

confidence: 63%

“…For the determination of the two-particle energies in the finite volume we start with the successful ansatz of refs. [4,9,12]. This means that we con-struct a correlation matrix with time-slice-operators where different operators are characterized by different orthogonal functions:…”

Section: Correlation Functionsmentioning

confidence: 99%

Mass spectrum and elastic scattering in the massive SU(2)f Schwinger model on the lattice

1999

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“…1 In two dimensions, the method has been applied to O(3) nonlinear σ-model [18] and to a model consisting of two coupled Ising spins [19]; it has also been applied to 3-dimensional QED [20,21] and to 4-dimensional O(4) φ 4 theory [22]. First attempts to apply the method to fermion-fermion scattering in the Gross-Neveu model have been made [23].…”

Section: Introductionmentioning

confidence: 99%

Resonance scattering phase shifts on a non-rest-frame lattice

Rummukainen¹,

Gottlieb²

1995

Nuclear Physics B

546

837

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Many l o w energy hadrons, such as the rho, can observed as resonances in scattering experiments. A proposal by L uscher enables one to determine innite volume elastic scattering phases from the two-particle energy spectrum measured from nite periodic lattices. In this work, we generalize the formalism to the case where the total momentum of the particles is non-zero; i.e.,the lattice frame is not the center-of-mass frame of the scattering particles. There are several advantages to this procedure including making a wider variety of center of mass energies accessible with a xed lattice volume, and making the avoided level crossing in a P-wave decay occur with a smaller volume.The formalism is tested with a simple lattice model of two elds with dierent masses and a 3-point coupling in 3 + 1 dimensions. We nd remarkable agreement b e t w een the rest-frame and non-rest-frame scattering.

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“…After the successful applications of Lüscher's method [1] to the elastic scattering of elementary scalar and fermionic particles (see, e.g., [2,3]), we have chosen the massive Schwinger model (QED 2 ) with 2 flavours to determine scattering phases in meson-meson scattering. Similar to four-dimensional QCD, mesons occur because of confinement.…”

Section: Introductionmentioning

confidence: 99%