Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-15
Phys.Rev. D56 (1997) 3631-3645
Physics
High Energy Physics
High Energy Physics - Theory
CERN-TH/97-164, 35 pages, revTeX, no figures
Scientific paper
10.1103/PhysRevD.56.3631
The Schwinger model, defined in the space interval $-L \le x \le L$, with (anti)periodic boundary conditions, is canonically quantized in the light-cone gauge $A_-=0$ by means of equal-time (anti)commutation relations. The transformation diagonalizing the complete Hamiltonian is explicitly constructed, thereby giving spectrum, chiral anomaly and condensate. The structures of Hilbert spaces related both to free and to interacting Hamiltonians are completely exhibited. Besides the usual massive field, two chiral massless fields are present, which can be consistently expunged from the physical space by means of a subsidiary condition of a Gupta-Bleuler type. The chiral condensate does provide the correct non-vanishing value in the decompactification limit $L \to \infty$.
Bassetto Antonio
Nardelli Giuseppe
Vianello Eliana
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