Klaus Scharnhorst  Publications
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).
[SPIRES record]
Abstract:
Salmhofer has demonstrated the equivalence of the strong coupling
lattice Schwinger model with Wilson
fermions to a selfavoiding loop model on the square lattice with
a bending rigidity η = 1/2. The present paper applies two approximate
analytical methods to the investigation of critical properties of
the selfavoiding loop model with variable eta,
discusses their validity, and makes a comparison with known
Monte Carlo results. One method is based on the independent loop
approximation used in the literature for studying phase transitions
in polymers, liquid helium, and cosmic strings. The
second method relies on the known exact solution of the selfavoiding
loop model with η = 2^{1/2}. The present investigation confirms
recent findings that the strong coupling lattice Schwinger model becomes
critical for κ_{cr} ~ 0.380.39. The phase transition is of
second order and lies in the Ising model
universality class. Finally, the central charge of the model at criticality
is discussed and predicted to be c = 1/2.
The article is cited in:

C.B. Lang: 7vertex model series.
Karl Franzens University Graz WWW page
http://physik.kfunigraz.ac.at/~cbl/cblv7series.html.

H. Gausterer, C.B. Lang: Strongcoupling lattice Schwinger model
on large spherelike lattices.
Nuclear Physics B 455[FS](1995)785795
[heplat/9506028]
(DOI: 10.1016/05503213(95)00533X).

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] (DOI: 10.1016/05503213(96)004026)
= paper [22]

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] (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).

K. Scharnhorst: Isocliny in spinor space and Wilson fermions.
Nuclear Physics B 581[PM](2000)718742 [heplat/0002022].
= paper [28]
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Document last modified: February 23, 2010
Document address: http://www.nat.vu.nl/~scharnh/cite23.htm