Low-dimensional supersymmetric lattice models

Bergner, Georg; Kaestner, Tobias; Uhlmann, Sven Sebastian; Wipf, Andreas

doi:10.1016/j.aop.2007.06.010

Cited by 73 publications

(125 citation statements)

References 33 publications

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“…We have started the analysis of such low-dimensional models in a previous paper [13] with investigations of various lattice formulations of supersymmetric quantum mechanics and first tests of the two-dimensional Wess-Zumino model at weak coupling. Here we will extend the analysis of the latter theory using far more elaborate numerical techniques to reach intermediate to strong values of the coupling.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional Wess-Zumino models at intermediate couplings

et al. 2008

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We consider the two-dimensional N = (2, 2) Wess-Zumino model with a cubic superpotential at weak and intermediate couplings. Refined algorithms allow for the extraction of reliable masses in a region where perturbation theory no longer applies. We scrutinize the Nicolai improvement program which is supposed to guarantee lattice supersymmetry and compare the results for ordinary and non-standard Wilson fermions with those for SLAC derivatives. It turns out that this improvement completely fails to enhance simulations for Wilson fermions and only leads to better results for SLAC fermions. Furthermore, even without improvement terms the models with all three fermion species reproduce the correct values for the fermion masses in the continuum limit.

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Section: Introductionmentioning

confidence: 99%

Two-dimensional Wess-Zumino models at intermediate couplings

et al. 2008

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“…While the manuscript was being prepared, we received a preprint [8], in which the same model is studied on the lattice using various methods. As far as non-gauge theories are concerned, our approach is almost equivalent to the method with the non-local SLAC derivative [9].…”

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confidence: 99%

Nonlattice Simulation for Supersymmetric Gauge Theories in One Dimension

2007

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Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions makes it difficult to even formulate an appropriate lattice theory. We propose to circumvent all these problems inherent in the lattice approach by adopting a non-lattice approach in the case of one-dimensional supersymmetric gauge theories, which are important in the string/M theory context.

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“…Numerical investigations with naive and improved discretizations and also featuring partial realization of the supersymmetry have been done. 10,15,29 Particularly interesting from the conceptual point of view are approaches based on the Nicolai map, which maps the interacting theory to a free theory. 33 The one and two dimensional Wess-Zumino models also serve as useful arenas for investigating spontaneous supersymmetry breaking.…”

Section: Wess-zumino Models and Supersymmetric Yang-mills Theories Inmentioning

confidence: 99%

Supersymmetry on the lattice

Bergner

Catterall

2016

Int. J. Mod. Phys. A

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We discuss the motivations, difficulties and progress in the study of supersymmetric lattice gauge theories focusing in particular on N = 1 and N = 4 super Yang-Mills in four dimensions. Brief reviews of the corresponding lattice formalisms are given and current results are presented and discussed. We conclude with a summary of the main aspects of current work and prospects for the future.Keywords: Supersymmetry; Lattice quantum field theory; Lattice gauge field theories PACS numbers: 11.15. Ha, 11.30.Pb, 11.25.Tq, 12.38.Gc 1. Why study supersymmetric theories using lattice gauge theory?There are several reasons why supersymmetry has played such an important and prominent role in modern developments of quantum field theory. One is its versatility in constructing extensions of the Standard Model of particle physics. Supersymmetry provides a solution to the hierarchy problem by providing a mechanism for the cancellation of bosonic and fermionic contributions to quantities such as the Higgs mass and as a bonus it includes natural candidates for dark matter. Furthermore, supersymmetric extensions of the standard model have implications at scales that are testable by current collider experiments. At the more fundamental level supersymmetry provides a bridge between the standard model and descriptions of quantum gravity based on supergravity and string theory.Supersymmetric extensions of the standard model like the minimal supersymmetric Standard Model (MSSM) are based on softly broken supersymmetric theories and the relations to the experimental data are usually established by perturbative calculations. In general there are very many of these soft breaking terms (approximately one hundred in the MSSM) and this yields to a lack of predictability in such theories. It is generally believed that such softly broken theories should be thought 1 arXiv:1603.04478v2 [hep-lat]

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Low-dimensional supersymmetric lattice models

Cited by 73 publications

References 33 publications

Two-dimensional Wess-Zumino models at intermediate couplings

Two-dimensional Wess-Zumino models at intermediate couplings

Nonlattice Simulation for Supersymmetric Gauge Theories in One Dimension

Supersymmetry on the lattice

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