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THE SCHWINGER MODEL ON A CIRCLE: RELATION BETWEEN PATH INTEGRAL AND HAMILTONIAN APPROACHES

S. AZAKOV

Institute of Physics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

The Abdus Salam International Center for Theoretical Physics, Trieste, Italy

https://doi.org/10.1142/S0217751X06034264Cited by:8 (Source: Crossref)

Abstract

We solve the massless Schwinger model exactly in Hamiltonian formalism on a circle. We construct physical states explicitly and discuss the role of the spectral flow and nonperturbative vacua. Different thermodynamical correlation functions are calculated and after performing the analytical continuation are compared with the corresponding expressions obtained for the Schwinger model on the torus in Euclidean path integral formalism obtained before.

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References

J. S. Schwinger, Phys. Rev. 128, 2425 (1962), DOI: 10.1103/PhysRev.128.2425. Crossref, Web of Science, ADS, Google Scholar
J. H. Lowenstein and J. A. Swieca, Ann. Phys. (N.Y.) 68, 172 (1971), DOI: 10.1016/0003-4916(71)90246-6. Crossref, Web of Science, ADS, Google Scholar
H. Joos , Topics in Theoretical Physics ( Instituto de Fisica Teorica , S. Paulo, Brazil , 1995 ) . Google Scholar
N. Manton, Ann. Phys. (N.Y.) 159, 220 (1985), DOI: 10.1016/0003-4916(85)90199-X. Crossref, Web of Science, ADS, Google Scholar
S. Iso and H. Murayama, Prog. Theor. Phys. 84, 142 (1990), DOI: 10.1143/PTP.84.142. Crossref, Web of Science, ADS, Google Scholar
J. E. Hetrick and Y. Hosotani, Phys. Rev. D 38, 2621 (1980), DOI: 10.1103/PhysRevD.38.2621. Crossref, Web of Science, ADS, Google Scholar
I. Sachs and A. Wipf, Helv. Phys. Acta 61, 652 (1992). Google Scholar
S. Azakov, Fortschr. Phys. 45, 589 (1997). Crossref, Web of Science, Google Scholar
H. Joos and S. Azakov, Helv. Phys. Acta 67, 723 (1994). Google Scholar
S. Azakov, J. Phys. A 35, 10277 (2002), hep-th/0106071 DOI: 10.1088/0305-4470/35/48/305. Crossref, Google Scholar
D. Buchholz, G. Mack and I. T. Todorov, Nucl. Phys. B (Proc. Suppl.) 5, 20 (1988), DOI: 10.1016/0920-5632(88)90367-2. Crossref, Google Scholar
J. I. Igusa , Theta Functions ( Springer-Verlag , 1972 ) . Crossref, Google Scholar
A. Erdélyi , Higher Transcendental Functions 2 ( McGraw-Hill , New York , 1995 ) . Google Scholar