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Calculation of the Mass Spectrum of QED-2 in Light-Front Coordinates. / Paston, S.A.; Prokhvatilov, E.V.; Franke, V.A.

In: Physics of Atomic Nuclei, Vol. 68, No. 2, 2005, p. 267-278.

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@article{06a0dd1646ba4ee48ebd0f77efdafd9f,
title = "Calculation of the Mass Spectrum of QED-2 in Light-Front Coordinates",
abstract = "With the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected Hamiltonian that was constructed previously for this theory on the light front. The calculations are performed for a wide range of the ratio of the fermion mass to the fermion charge at all values of the parameter $\hat\te$ related to the vacuum angle $\te$. The results obtained in this way are compared with the results of known numerical calculations on a lattice in Lorentz coordinates. A method is proposed for extrapolating the values obtained within the infrared-regularized theory to the limit where the regularization is removed. The resulting spectrum agrees well with the known results in the case of $\te=0$; in the case of $\te=\pi$, there is agreement at small values of the fermion mass (below the phase-transition point).",
author = "S.A. Paston and E.V. Prokhvatilov and V.A. Franke",
year = "2005",
language = "English",
volume = "68",
pages = "267--278",
journal = "Physics of Atomic Nuclei",
issn = "1063-7788",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Calculation of the Mass Spectrum of QED-2 in Light-Front Coordinates

AU - Paston, S.A.

AU - Prokhvatilov, E.V.

AU - Franke, V.A.

PY - 2005

Y1 - 2005

N2 - With the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected Hamiltonian that was constructed previously for this theory on the light front. The calculations are performed for a wide range of the ratio of the fermion mass to the fermion charge at all values of the parameter $\hat\te$ related to the vacuum angle $\te$. The results obtained in this way are compared with the results of known numerical calculations on a lattice in Lorentz coordinates. A method is proposed for extrapolating the values obtained within the infrared-regularized theory to the limit where the regularization is removed. The resulting spectrum agrees well with the known results in the case of $\te=0$; in the case of $\te=\pi$, there is agreement at small values of the fermion mass (below the phase-transition point).

AB - With the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected Hamiltonian that was constructed previously for this theory on the light front. The calculations are performed for a wide range of the ratio of the fermion mass to the fermion charge at all values of the parameter $\hat\te$ related to the vacuum angle $\te$. The results obtained in this way are compared with the results of known numerical calculations on a lattice in Lorentz coordinates. A method is proposed for extrapolating the values obtained within the infrared-regularized theory to the limit where the regularization is removed. The resulting spectrum agrees well with the known results in the case of $\te=0$; in the case of $\te=\pi$, there is agreement at small values of the fermion mass (below the phase-transition point).

M3 - Article

VL - 68

SP - 267

EP - 278

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 2

ER -

ID: 5143754