Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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