Klaus Scharnhorst  Publications
K. Scharnhorst: The exact equivalence of the twoflavour
strong coupling lattice Schwinger model with Wilson fermions
to a vertex model. Nuclear Physics B 479[FS](1996)727745
[heplat/9604024, University of Wales Swansea Preprint SWAT/96/105]
(DOI: 10.1016/05503213(96)004026).
[SPIRES record]
Abstract:
In this paper a method previously employed by Salmhofer to establish
an exact equivalence of the oneflavour strong
coupling lattice Schwinger model with Wilson fermions to some 8vertex
model is applied to the case with two flavours.
As this method is fairly general and can be applied to strong coupling QED
and purely fermionic models with any
(sufficiently small) number of Wilson fermions in any dimension
the purpose of the present study is mainly a methodical
one in order to gain some further experience with it. In the paper the
vertex model equivalent to the twoflavour strong
coupling lattice Schwinger model with Wilson fermions is found. It turns
out to be some modified 3state 20vertex
model on the square lattice, which can also be understood as a regular
6state vertex model. In analogy with the oneflavour
case, this model can be viewed as some loop model.
The article is cited in:

K. Scharnhorst: Results for the strong coupling
lattice Schwinger model with Wilson fermions from a
study of the equivalent loop model.
Physical Review D 56(1997)36503659
[heplat/9505001, University of Wales Swansea Preprint SWAT/95/72]
(DOI: 10.1103/PhysRevD.56.3650).
= paper [23]

K. Scharnhorst: The exact equivalence of the oneflavour
lattice Thirring model with Wilson fermions to a twocolour
loop model. Nuclear Physics B 503(1997)479504
[heplat/9611005, University of Wales Swansea Preprint SWAT/96/131,
Humboldt University Berlin Preprint HUBEP96/56]
(DOI: 10.1016/S05503213(97)004239).
= paper [24]

M. Wohlgenannt: The Schwinger model  From strong coupling
to fixedpoint actions.
Diploma Thesis, KarlFranzensUniversität Graz, Graz, 1998, 82 pp.
(Available at the address: http://physik.unigraz.at/itp/files/wohlgenannt/diplomarbeit.ps.gz).

S. Elser: The local bosonic algorithm applied to the massive
Schwinger model. Doctoral Thesis, HumboldtUniversität zu Berlin, 1998,
heplat/0103035,
106 pp..

C. Gattringer: A formula for the hopping expansion of eightvertex
models coupled to an external field.
International Journal of Modern Physics A 14(1999)48534863
[condmat/9811139]
(DOI: 10.1142/S0217751X99002293).

C. Gattringer: Loop representation for 2D Wilson lattice
fermions in a scalar background field.
Nuclear Physics B 543(1999)533542
[heplat/9811014]
(DOI: 10.1016/S05503213(99)000218).

C. Gattringer: The lattice Schwinger model as a discrete sum of
filled Wilson loops.
Nuclear Physics B 559(1999)539562
[heplat/9903021]
(DOI: 10.1016/S05503213(99)004678).

K. Scharnhorst: Isocliny in spinor space and Wilson fermions.
Nuclear Physics B 581[PM](2000)718742 [heplat/0002022]
(DOI: 10.1016/S05503213(00)002844).
= paper [28]

U. Wenger:
Efficient simulation of relativistic fermions via vertex models.
Physical Review D 80(2009)071503(R), 5 pp.
[arXiv:0812.3565]
(DOI: 10.1103/PhysRevD.80.071503).
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Document last modified: February 23, 2010
Document address: http://www.nat.vu.nl/~scharnh/cite22.htm