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 \hatθrelated to the vacuum angle θ. 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 θ=0; in the case of θ=π, there is agreement at small values of the fermion mass (below the phase-transition point).

arXiv commentLaTex 2.09, 20 pages, 7 figures. New improved expression for the effective LF Hamiltonian was added

References in corpus (7)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• Massive Schwinger model within mass perturbation theory
• A New Finite-lattice study of the Massive Schwinger Model
• Effective light front quantization of scalar field theories and two-dimensional electrodynamics
• Improved vector and scalar masses in the massive Schwinger model
• The Mass Operator in the Light-Cone Representation

Cited by in corpus (6)

• Quantum Fields on the Light Front, Formulation in Coordinates close to the Light Front, Lattice Approximation
• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Pauli-Villars Regularization and Light Front Hamiltonian in (2+1)-dimensional Yang-Mills Theory
• Spontaneously broken quark helicity symmetry
• Construction of Perturbatively Correct Light Front Hamiltonian for (2+1)-Dimensional Gauge Theory
• Pauli-Villars Regularization in nonperturbative Hamiltonian approach on the Light Front