Screening in the lattice Schwinger model

Dilger, H.

doi:10.1016/0370-2693(92)90692-w

Cited by 20 publications

(20 citation statements)

References 22 publications

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“…Also here one faces the problem of the choice of a lattice scheme for fermions: the two most common choices are the well-known Wilson fermions [4] and the staggered (or Kogut-Susskind [KS]) fermions [5,6]. Most of the lattice calculations done up to now for the Schwinger model used the staggered fermion formulation [7,8,9], in which case the chiral limit is obtained by simply setting the bare fermion mass parameter m appearing in the lattice Lagrangian to zero: m → 0. All these lattice calculations seem to reproduce well the expected properties of the continuum massless Schwinger model, known from analytical results.…”

Section: Introductionmentioning

confidence: 99%

Exact solution (by algebraic methods) of the lattice Schwinger model in the strong-coupling regime

Karsch¹,

Meggiolaro²,

Turko³

1995

Phys. Rev. D

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Using the monomer-dimer representation of the lattice Schwinger model, with Nf = 1 Wilson fermions in the strong-coupling regime (P = 0), we evaluate its partition function Z exactly on finite lattices. By studying the zeros of Z(k) in the complex plane (Re(k),Im(k)) for a large number of small lattices, we find the zeros closest to the real axis for infinite strips in the 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 + oo on the real axis a t about kc E 0.39. By looking at the behavior 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 kc, we find some indications for a continuous phase transition.

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Section: Introductionmentioning

confidence: 99%

Exact solution (by algebraic methods) of the lattice Schwinger model in the strong-coupling regime

Karsch¹,

Meggiolaro²,

Turko³

1995

Phys. Rev. D

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“…While the present calculations are schematic and far from the real world, they still provide nontrivial insights into nonperturbative physics at finite temperature. They are certainly of some interest for comparison with finite temperature lattice simulations of the model [13].…”

Section: Resultsmentioning

confidence: 99%

General correlation functions in the Schwinger model at zero and finite temperature

Steele¹,

Subramanian²,

Zahed³

1995

Nuclear Physics B

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The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's function is computed and the results on the torus are compared to those on the plane. It is concluded that a simpler way to calculate the finite temperature results is to associate certain terms in the zero temperature structure with their finite temperature counterparts.

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“…They could be useful for comparison with the results obtained by the authors who do lattice simulations of the SM [9].…”

Section: Discussionmentioning

confidence: 98%

“…It is a torus which is most naturally approximated by the finite cubical lattice on which the numerical calculations are performed [9]. Interest in finite-temperature calculations in quantum field theories (T = 0 QFT) (or relativistic quantum statistics) is explained by the fact that there are some phenomena (early universe, ultrarelativistic heavy ion collisions, baryon number violating processes, etc) which should be described by T = 0 QFT.…”

Section: Introductionmentioning

confidence: 99%