Loop representation for 2-D Wilson lattice fermions in a scalar background field

Details Loop representation for 2-D Wilson lattice fermions in a scalar background field Loop representation for 2-D Wilson lattice fermions in a scalar background field

1998-11-10

arxiv.org/abs/hep-lat/9811014v1

Nucl.Phys. B543 (1999) 533-542

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1016/S0550-3213(99)00021-8

We show that the fermion determinant for 2-D Wilson lattice fermions coupled
to an external scalar field is equivalent to self avoiding loops interacting
with the external field. In an application of the resulting formula we
integrate the scalar field with a Gaussian action to generate the N-component
Gross-Neveu model. The loop representation for this model is discussed.

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