SUSY on the lattice

Contents of this Page:

• Research topics
• Publication list

Research topics

Our collaboration studies the SU(2) supersymmetric Yang-Mills (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 two-step multi-bosonic (TSMB) algorithm which is based on a two-step 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.

Glueball-gluinoball 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 low-lying spectrum of glueballs, gluino-glueballs 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 Ward-Takahashi 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 WT-identities.

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Publication list

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

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

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

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

G. Koutsoumbas, I. Montvay, A. Pap, K. Spanderen, D. Talkenberger, J. Westphalen, Numerical study of SU(2) Yang-Mills theory with gluinos,
Nucl. Phys. B (Proc. Suppl.) 63 (1998) 727;   hep-lat/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, Wiley-VCH, 1998; p. 361;   hep-lat/9801023

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

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

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

A. Feo, R. Kirchner, S. Luckmann, I. Montvay, G. Münster, Numerical simulation of dynamical gluinos in SU(3) Yang-Mills theory: first results,
Nucl. Phys. B (Proc. Suppl.) 83-84 (2000) 661;   hep-lat/990970

A. Feo, R. Kirchner, I. Montvay, A. Vladikas, Low-energy features of SU(2) Yang-Mills theory with light gluinos,
Nucl. Phys. B (Proc. Suppl.) 83-84 (2000) 670;   hep-lat/990971

R. Kirchner, S. Luckmann, I. Montvay, K. Spanderen, J. Westphalen, Evidence for discrete chiral symmetry breaking in N=1 supersymmetric Yang-Mills 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 00-156   hep-lat/0010053

F. Farchioni, A. Feo, T. Galla, C. Gebert, R. Kirchner, I. Montvay, G. Münster, On the 1-loop perturbation theory of supersymmetric Ward identities,
DESY preprint DESY 00-159   hep-lat/0011030