Geodesic
Structure of the ground state in two-dimensional massless quantum electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 313-328 
N. V. Krasnikov; V. A. Matveev; V. A. Rubakov; A. N. Tavkhelidze; V. F. Tokarev. Structure of the ground state in two-dimensional massless quantum electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 313-328. http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a2/
@article{TMF_1980_45_3_a2,
     author = {N. V. Krasnikov and V. A. Matveev and V. A. Rubakov and A. N. Tavkhelidze and V. F. Tokarev},
     title = {Structure of the ground state in two-dimensional massless quantum electrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {313--328},
     year = {1980},
     volume = {45},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a2/}
}
TY  - JOUR
AU  - N. V. Krasnikov
AU  - V. A. Matveev
AU  - V. A. Rubakov
AU  - A. N. Tavkhelidze
AU  - V. F. Tokarev
TI  - Structure of the ground state in two-dimensional massless quantum electrodynamics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 313
EP  - 328
VL  - 45
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a2/
LA  - ru
ID  - TMF_1980_45_3_a2
ER  - 
%0 Journal Article
%A N. V. Krasnikov
%A V. A. Matveev
%A V. A. Rubakov
%A A. N. Tavkhelidze
%A V. F. Tokarev
%T Structure of the ground state in two-dimensional massless quantum electrodynamics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 313-328
%V 45
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a2/
%G ru
%F TMF_1980_45_3_a2

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

Two-dimensional massless quantum electrodynamics is studied in the transverse gauge. It is shown by means of an operator solution that the gauge ransformations compatible with the condition of transversality decompose into classes characterized by integral topological numbers. The operators of gauge transformations with nonvanishing topological numbers carry a fermion number and chirality. The requirement of gauge invariance fixes the vacuum, which does not have a definite fermion number or chirality; the physical excitations are bosons. The properties of the operators of the gauge transformations are also studied by functional integration. The existence of a fermion number and chirality for the operators of the remaining gauge transformations is due to the existence of zero modes of the Dirac operator in an external electromagnetic field with nontrivial behavior at infinity.

[1] C. G. Callan, R. F. Dashen, D. J. Gross, Phys. Lett., 63B (1976), 334 | DOI

[2] G. t'Hooft, Phys. Rev., D14 (1976), 3432

[3] N. V. Krasnikov, V. A. Matveev, A. N. Tavkhelidze, Trudy Mezhdunarodnoi konferentsii po nelokalnoi kvantovoi teorii polya, Dubna, 1979, 137

[4] J. Schwinger, Phys. Rev., 128 (1962), 2425 ; Theoretical Physics, Trieste Lectures, IAEA, Vienna, 1963 | DOI | MR | Zbl | MR

[5] J. H. Lowenstein, J. A. Swieca, Ann. Phys., 68 (1971), 172 | DOI | MR

[6] A. Casher, J. Kogut, L. Susskind, Phys. Rev., D10 (1974), 732

[7] N. K. Nielsen, B. Schroer, Nucl. Phys., B120 (1977), 62 | DOI

[8] N. K. Nielsen, B. Schroer, Phys. Lett., 66B (1977), 373 | DOI

[9] B. Schroer, Acta Phys. Austriaca Suppl., XIX (1978), 155 ; K. D. Rothe, J. A. Swieca, Ann. Phys., 117 (1979), 382 | MR | DOI | MR

[10] J. Schwinger, Phys. Rev. Lett., 3 (1959), 296 | DOI

[11] G. F. Dell' Antonio, Nuovo Cim., 25A (1975), 303

[12] A. Vaitman, Problemy v relyativistskoi dinamike kvantovannykh polei, «Nauka», 1968; B. Klaiber, Lectures in Theoretical Physics, Boulder Lectures, vol. XA, Gordon and Breach, 1968 ; Д. Ц. Стоянов, Труды XII Межд. школы по физике высоких энергий (Приморско, Болгария), 1978; Препринт ОИЯИ Д1, 2-12450, Дубна, 1979 | MR

[13] K. D. Rothe, J. A. Swieca, Phys. Rev., D15 (1977), 541

[14] K. Bleuler, Helv. Phys. Acta., 23 (1950), 567 | MR | Zbl

[15] R. Haag, Nuovo Cim., 25 (1962), 287 | DOI | MR | Zbl

[16] E. S. Abers, B. W. Lee, Phys. Rep., 9C (1973), 1 ; Kvantovaya teoriya kalibrovochnykh polei, Sb., ed. N. P. Konopleva, «Mir», 1977 | DOI

[17] R. D. Peccei, H. Quinn, Nuovo Cim., 41A (1977), 303; N. V. Krasnikov, V. A. Rubakov, V. F. Tokarev, Phys. Lett., 79B (1978), 423 ; Н. В. Красников, В. А. Рубаков, В. Ф. Токарев, ЯФ, 29 (1979), 1127 | DOI | MR | MR

[18] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR