SUSY on the lattice
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Our collaboration studies the SU(2) supersymmetric YangMills (SYM)
theory which is the zero gluino mass limit of an SU(2) gauge theory
with a massive Majorana fermion in the adjoint (triplet)
representation.
 Algorithm development
The numerical simulations are performed by using the twostep
multibosonic
(TSMB)
algorithm which is based on a twostep polynomial approximation of
the function x^(1/4) in an interval containing the spectrum of the
gluino (fermion) matrix.
These polynomials can be determined by Maple procedures.
 Glueballgluinoball spectrum
Since the SYM theory is expected to have a mass gap and a
supersymmetric spectrum of colourless confined states, it
is interesting to investigate the lowlying spectrum of
glueballs, gluinoglueballs and gluinoballs as a function
of the gluino mass.
In the limit of zero gluino mass one expects that the states
are organized in degenerate supermultiplets.
 Phase structure
The low energy effective Lagrangians are based on the discrete chiral
symmetry of SYM theory which is assumed to be broken by the gluino
condensate.
This implies the existence of a first order phase transition at the
supersymmetry point which can be investigated in a numerical simulation.
 SUSY WardTakahashi identities
At finite lattice spacing the supersymmetry is broken by lattice
artefacts which vanish in the continuum limit.
The restauration of supersymmetry can be numerically investigated
by studying various matrix elements of the SUSY WTidentities.


I. Montvay,
An algorithm for gluinos on the lattice,
Nucl. Phys. B466 (1996) 259;
heplat/9510042

I. Montvay,
Supersymmetric gauge theories on the lattice,
Nucl. Phys. B (Proc. Suppl.) 53 (1997) 853;
heplat/9607035

G. Koutsoumbas, I. Montvay,
Gluinos on the lattice: quenched calculations,
Phys. Lett. B398 (1997) 130;
heplat/9612003

I. Montvay,
SUSY on the lattice,
Nucl. Phys. B (Proc. Suppl.) 63 (1998) 108;
heplat/9709080

G. Koutsoumbas, I. Montvay, A. Pap, K. Spanderen, D. Talkenberger,
J. Westphalen,
Numerical study of SU(2) YangMills theory with gluinos,
Nucl. Phys. B (Proc. Suppl.) 63 (1998) 727;
heplat/9709091

I. Montvay,
SYM on the lattice,
in Theory of Elementary Particles, Proceedings of the 31st
International Symposium Ahrenshoop, September 1997, Buckow, Germany;
edited by H. Dorn, D. Lüst, G. Weigt, WileyVCH, 1998;
p. 361;
heplat/9801023

R. Kirchner, S. Luckmann, I. Montvay, K. Spanderen, J. Westphalen,
Numerical simulation of dynamical gluinos: experience with
a multibosonic algorithm and first results,
Nucl. Phys. B (Proc. Suppl.) 73 (1999) 828;
heplat/9808024

R. Kirchner, S. Luckmann, I. Montvay, K. Spanderen, J. Westphalen,
Evidence for discrete chiral symmetry breaking in N=1 supersymmetric
YangMills theory,
Phys. Lett. B446 (1999) 209;
heplat/9810062

I. Campos, A. Feo, R. Kirchner, S. Luckmann, I. Montvay,
G. Münster, K. Spanderen, J. Westphalen,
Monte Carlo simulation of SU(2) YangMills theory with light
gluinos,
Eur. Phys. J. C11 (1999) 507;
heplat/9903014

A. Feo, R. Kirchner, S. Luckmann, I. Montvay, G. Münster,
Numerical simulation of dynamical gluinos in SU(3) YangMills theory:
first results,
Nucl. Phys. B (Proc. Suppl.) 8384 (2000) 661;
heplat/990970

A. Feo, R. Kirchner, I. Montvay, A. Vladikas,
Lowenergy features of SU(2) YangMills theory with light
gluinos,
Nucl. Phys. B (Proc. Suppl.) 8384 (2000) 670;
heplat/990971

R. Kirchner, S. Luckmann, I. Montvay, K. Spanderen, J. Westphalen,
Evidence for discrete chiral symmetry breaking in N=1 supersymmetric
YangMills theory,
in Proceedings of Strong and Electroweak matter '98,
Copenhagen, December 1998;
edited by J. Ambjorn. P.H. Damgaard, K. Kainulainen, K. Rummukainen,
World Scientific, 1999; p. 206.

F. Farchioni, A. Feo, T. Galla, C. Gebert, R. Kirchner, I. Montvay,
G. Münster, A. Vladikas,
SUSY Ward identities in N=1 SYM theory on the lattice,
DESY preprint DESY 00156
heplat/0010053

F. Farchioni, A. Feo, T. Galla, C. Gebert, R. Kirchner, I. Montvay,
G. Münster,
On the 1loop perturbation theory of supersymmetric Ward
identities,
DESY preprint DESY 00159
heplat/0011030
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Last change on November 21, 2000