Klaus Scharnhorst - Publications
K. Scharnhorst: The exact equivalence of the two-flavour
strong coupling lattice Schwinger model with Wilson fermions
to a vertex model. Nuclear Physics B 479[FS]:3(1996)727-745
(DOI: 10.1016/0550-3213(96)00402-6)
[arXiv:hep-lat/9604024, University of Wales Swansea report SWAT/96/105].
[INSPIRE record]
Abstract:
In this paper a method previously employed by Salmhofer to establish
an exact equivalence of the one-flavour strong
coupling lattice Schwinger model with Wilson fermions to some 8-vertex
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 two-flavour strong
coupling lattice Schwinger model with Wilson fermions is found. It turns
out to be some modified 3-state 20-vertex
model on the square lattice, which can also be understood as a regular
6-state vertex model. In analogy with the one-flavour
case, this model can be viewed as some loop model.
The article is cited in:
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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)3650-3659
(DOI: 10.1103/PhysRevD.56.3650)
[University of Wales Swansea report SWAT/95/72, arXiv:hep-lat/9505001].
= paper [23]
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K. Scharnhorst: The exact equivalence of the one-flavour
lattice Thirring model with Wilson fermions to a two-colour
loop model. Nuclear Physics B 503(1997)479-504
(DOI: 10.1016/S0550-3213(97)00423-9)
[University of Wales Swansea report SWAT/96/131,
Humboldt University Berlin report HUB-EP-96/56, arXiv:hep-lat/9611005].
= paper [24]
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C. Gattringer: Loop representation for 2D Wilson lattice
fermions in a scalar background field.
Nuclear Physics B 543(1999)533-542
(DOI: 10.1016/S0550-3213(99)00021-8)
[arXiv:hep-lat/9811014].
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C. Gattringer: A formula for the hopping expansion of eight-vertex
models coupled to an external field.
International Journal of Modern Physics A 14(1999)4853-4863
(DOI: 10.1142/S0217751X99002293)
[arXiv:cond-mat/9811139].
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S. Elser: The local bosonic algorithm applied to the massive
Schwinger model. Doctoral Thesis, Humboldt-Universität zu Berlin, 1998,
arXiv:hep-lat/0103035,
106 pp..
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M. Wohlgenannt:
The Schwinger model - From strong coupling to fixed-point actions.
Diploma Thesis, Karl-Franzens-Universität Graz, Graz, 1998, 82 pp.
( https://web.archive.org/web/20160517120311/http://physik.uni-graz.at/itp/files/wohlgenannt/diplomarbeit.ps.gz ).
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C. Gattringer: The lattice Schwinger model as a discrete sum of
filled Wilson loops.
Nuclear Physics B 559(1999)539-562
(DOI: 10.1016/S0550-3213(99)00467-8)
[arXiv:hep-lat/9903021].
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K. Scharnhorst: Isocliny in spinor space and Wilson fermions.
Nuclear Physics B 581[PM](2000)718-742
(DOI: 10.1016/S0550-3213(00)00284-4) [arXiv:hep-lat/0002022].
= paper [28]
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U. Wenger:
Efficient simulation of relativistic fermions via vertex models.
Physical Review D 80(2009)071503(R), 5 pp.
(DOI: 10.1103/PhysRevD.80.071503)
[arXiv:0812.3565].
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A. Vaquero Avilés-Casco:
Unsolved problems in QCD: A lattice approach.
Doctoral Thesis, Universidad de Zaragoza, Zaragoza, 2011, 197 pp.
( https://inspirehep.net/literature/945360 ).
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W. Unger:
Combinatorics of lattice QCD at strong coupling.
Proceedings of Science 214(2015)192, 7 pp.
(DOI: 10.22323/1.214.0192)
[arXiv:1411.4493].
The article is part of:
The 32nd International Symposium on Lattice Field Theory (LATTICE2014),
Proceedings of Science 214(2015).
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Ph. de Forcrand, O. Philipsen, W. Unger:
QCD phase diagram from the lattice at strong coupling.
Proceedings of Science 217(2015)073, 9 pp.
(DOI: 10.22323/1.217.0073)
[arXiv:1503.08140].
The article is part of:
9th International Workshop on Critical Point and Onset of Deconfinement (CPOD2014),
Proceedings of Science 217(2015).
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M. Göz:
3d-effektive Theorie im Strong-Coupling Limit für Kogut-Susskind-Fermionen
[3d effective theory for Kogut-Susskind fermions in the strong-coupling limit].
Master Thesis, Universität Bielefeld, Bielefeld, 2018, 70 pp.
( https://inspirehep.net/literature/1831269 ). [in German]
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W. Unger:
Strong coupling methods for lattice QCD .
Habilitation Thesis, Universität Bielefeld, Bielefeld, 2021,294 pp.
( https://pub.uni-bielefeld.de/record/2957461 ).
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Document last modified: June 8, 2023
Document address: http://people.physik.hu-berlin.de/~scharnh/cite22.htm