QED{sub 2} and massive Thirring model in infinite momentum frame

Journal Article · Sun Jan 01 04:00:00 EST 1995 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1995.1002· OSTI ID:67984

Ogura, A; Tomachi, T; Fujita, T ^[1]

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1. Nihon Univ., Tokyo (Japan)

The authors calculate the spectrum of the charge zero sector in two-dimensional field theories (the massive Schwinger model and the massive Thirring model), employing the infinite momentum frame technique (or 1/K expansion method). They first explain the 1/K expansion method which can clarify the connection between equal time and light cone quantizations. They apply it to the massive Schwinger model and confirm that it gives indeed the same equation as light cone quantization. They present some calculations of the massive Schwinger model including four fermion components (qq{bar q}{bar q}). They show that the lowest state is exactly evaluated by the q{bar q} Fock space. Then they apply it to the massive Thirring model. The eigenvalue equation for the massive Thirring model with q{bar q} Fock space is solved analytically. It is shown that the eigenvalue equation has right behaviors both for the weak and the strong coupling regions. Further, the authors show that the interaction between q{bar q} bosons is repulsive and therefore there is no bound state in the four fermion (qq{bar q}{bar q}) Fock space. This confirms that there is only one bound state in the massive Thirring model. 32 refs., 9 figs.

• OSTI ID: 67984
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 237; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
MASS SPECTRA
QUANTUM ELECTRODYNAMICS
SCHWINGER SOURCE THEORY
THIRRING MODEL
TWO-DIMENSIONAL CALCULATIONS