Geodesic
The Light-Front Hamiltonian Formalism for Two-Dimensional Quantum Electrodynamics Equivalent to the Lorentz-Covariant Approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 84-97

Voir la notice de l'article provenant de la source Math-Net.Ru

A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the fermion mass. The resulting Hamiltonian involves a supplementary counterterm in addition to the usual terms appearing in the naive light-front quantization. This term is proportional to a linear combination of zeroth fermion modes (which are multiplied by a factor compensating the charge and fermion number). The coefficient of the counterterm has no ultraviolet divergence, depends on the value of the fermion condensate in the $\theta$-vacuum, and is linear in this value for a small fermion mass. 
@article{TMF_2002_131_1_a7,
     author = {S. A. Paston and E. V. Prokhvatilov and V. A. Franke},
     title = {The {Light-Front} {Hamiltonian} {Formalism} for {Two-Dimensional} {Quantum} {Electrodynamics} {Equivalent} to the {Lorentz-Covariant} {Approach}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {84--97},
     publisher = {mathdoc},
     volume = {131},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a7/}
}
TY  - JOUR
AU  - S. A. Paston
AU  - E. V. Prokhvatilov
AU  - V. A. Franke
TI  - The Light-Front Hamiltonian Formalism for Two-Dimensional Quantum Electrodynamics Equivalent to the Lorentz-Covariant Approach
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2002
SP  - 84
EP  - 97
VL  - 131
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a7/
LA  - ru
ID  - TMF_2002_131_1_a7
ER  - 
%0 Journal Article
%A S. A. Paston
%A E. V. Prokhvatilov
%A V. A. Franke
%T The Light-Front Hamiltonian Formalism for Two-Dimensional Quantum Electrodynamics Equivalent to the Lorentz-Covariant Approach
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2002
%P 84-97
%V 131
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a7/
%G ru
%F TMF_2002_131_1_a7
S. A. Paston; E. V. Prokhvatilov; V. A. Franke. The Light-Front Hamiltonian Formalism for Two-Dimensional Quantum Electrodynamics Equivalent to the Lorentz-Covariant Approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 84-97. http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a7/