Using the monomer-dimer representation of the lattice Schwinger model, with N_f =1 Wilson fermions in the strong-coupling regime (beta=0), we evaluate its partition function, Z, exactly on finite lattices. By studying the zeroes of Z(k) in the complex plane (Re(k),Im(k)) for a large number of small lattices, we find the zeroes closest to the real axis for infinite stripes in temporal direction and spatial extent S=2 and 3. We find evidence for the existence of a critical value for the hopping parameter in the thermodynamic limit S going to infinity on the real axis at about k_c = 0.39. By looking at the behaviour of quantities, such as the chiral condensate, the chiral susceptibility and the third derivative of Z with respect to 1/2k, close to the critical point k_c, we find some indications for a continuous phase transition.

EXACT SOLUTION (BY ALGEBRAIC METHODS) OF THE LATTICE SCHWINGER MODEL IN THE STRONG-COUPLING REGIME

MEGGIOLARO, ENRICO;
1995

Abstract

Using the monomer-dimer representation of the lattice Schwinger model, with N_f =1 Wilson fermions in the strong-coupling regime (beta=0), we evaluate its partition function, Z, exactly on finite lattices. By studying the zeroes of Z(k) in the complex plane (Re(k),Im(k)) for a large number of small lattices, we find the zeroes closest to the real axis for infinite stripes in temporal direction and spatial extent S=2 and 3. We find evidence for the existence of a critical value for the hopping parameter in the thermodynamic limit S going to infinity on the real axis at about k_c = 0.39. By looking at the behaviour of quantities, such as the chiral condensate, the chiral susceptibility and the third derivative of Z with respect to 1/2k, close to the critical point k_c, we find some indications for a continuous phase transition.
Karsch, F; Meggiolaro, Enrico; Turko, L.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/30182
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 9
social impact