Discretized light-cone quantization: The massless and the massive Schwinger model | Zendy

Thomas Eller | Zendy; Hans–Christian Pauli | Zendy; Stanley J. Brodsky | Zendy

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Discretized light-cone quantization: The massless and the massive Schwinger model

Author(s) -

Thomas Eller,

Hans–Christian Pauli,

Stanley J. Brodsky

Publication year - 1987

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.35.1493

Subject(s) - physics , discretization , hamiltonian (control theory) , quantization (signal processing) , massless particle , light cone , coupling constant , mathematical physics , eigenfunction , quantum electrodynamics , fermion , bound state , quantum mechanics , eigenvalues and eigenvectors , mathematical analysis , mathematics , mathematical optimization , computer science , computer vision

The method of Discretized Light Cone Quantization (DLCQ), recently pro- posed for obtaining non-perturbative solutions to field theories, is applied to quantum-electrodynamics in one space dimension (QEDz). The spectrum of invariant masses and the eigenfunctions of the light-cone Hamiltonian are cal- culated; i.e., the bound state problem is solved for all values of the coupling constant. For very strong coupling (Schwinger model proper) DLCQ reproduces one-to-one the known exact solutions. For non-vanishing fermion mass (massive Schwinger model) the results of DLCQ agree with earlier work and in particular with a lattice gauge calculation.

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