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Related papers: Supersymmetry Breaking in Low Dimensional Models

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We study and simulate N=2 supersymmetric Wess-Zumino models in one and two dimensions. For any choice of the lattice derivative, the theories can be made manifestly supersymmetric by adding appropriate improvement terms corresponding to…

High Energy Physics - Lattice · Physics 2008-11-26 Tobias Kaestner , Georg Bergner , Sebastian Uhlmann , Andreas Wipf , Christian Wozar

We study dynamical supersymmetry breaking by non perturbative lattice techniques in a class of two-dimensional N=1 Wess-Zumino models. We work in the Hamiltonian formalism and analyze the phase diagram by analytical strong-coupling…

High Energy Physics - Lattice · Physics 2009-11-10 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

We study and simulate N=2 supersymmetric Wess-Zumino models in one and two dimensions. For any choice of the lattice derivative, the theories can be made manifestly supersymmetric by adding appropriate improvement terms corresponding to…

High Energy Physics - Lattice · Physics 2008-11-26 Georg Bergner , Tobias Kaestner , Sebastian Uhlmann , Andreas Wipf

We present results from a numerical simulation of the two-dimensional Euclidean Wess-Zumino model. In the continuum the theory possesses N=1 supersymmetry. The lattice model we employ was analyzed by Golterman and Petcher in \cite{susy}…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Catterall , Sergey Karamov

We discuss spontaneous supersymmetry breaking in the N=1 Wess-Zumino model in two dimensions on the lattice using Wilson fermions and the fermion loop formulation. In that formulation the fermion sign problem related to the vanishing of the…

High Energy Physics - Lattice · Physics 2011-11-28 David Baumgartner , Kyle Steinhauer , Urs Wenger

We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuum…

High Energy Physics - Lattice · Physics 2015-06-23 Kyle Steinhauer , Urs Wenger

We investigate a Hamiltonian lattice version of the two-dimensional Wess-Zumino model, with special emphasis to the pattern of supersymmetry breaking. Results are obtained by Quantum Monte Carlo simulations and Density Matrix…

High Energy Physics - Lattice · Physics 2009-11-10 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

Simulations of supersymmetric field theories with spontaneously broken supersymmetry require in addition to the ultraviolet regularisation also an infrared one, due to the emergence of the massless Goldstino. The intricate interplay between…

High Energy Physics - Lattice · Physics 2015-09-07 David Baumgartner , Urs Wenger

Starting from a simple discrete model which exhibits a supersymmetric invariance we construct a local, interacting, two-dimensional Euclidean lattice theory which also admits an exact supersymmetry. This model is shown to correspond to the…

High Energy Physics - Lattice · Physics 2007-05-23 S. Catterall , S. Karamov

Lattice studies of spontaneous supersymmetry breaking suffer from a sign problem that in principle can be evaded through novel methods enabled by quantum computing. Focusing on lower-dimensional lattice systems with more modest resource…

High Energy Physics - Lattice · Physics 2024-10-16 David Schaich , Christopher Culver

We study the two-dimensional Wess-Zumino model with extended N=2 supersymmetry on the lattice. The lattice prescription we choose has the merit of preserving {\it exactly} a single supersymmetric invariance at finite lattice spacing $a$.…

High Energy Physics - Lattice · Physics 2011-07-28 Simon Catterall , Sergey Karamov

We investigate a Hamiltonian lattice version of the two-dimensional Wess-Zumino model by Quantum Monte Carlo simulations. In order to study the pattern of supersymmetry breaking, we measure the ground state energy and the correlation length…

High Energy Physics - Lattice · Physics 2009-11-07 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

We discuss N=2 supersymmetric quantum mechanics on the lattice using the fermion loop formulation. In this approach the system naturally decomposes into a bosonic and fermionic sector. This allows us to deal with the sign problem arising in…

High Energy Physics - Lattice · Physics 2015-03-19 David Baumgartner , Urs Wenger

We study supersymmetry breaking from a lattice model of N=2 supersymmetric quantum mechanics using the direct computational method proposed in arXiv:1803.07960. The vanishing Witten index is realized as a numerical result in high precision.…

High Energy Physics - Lattice · Physics 2020-01-08 Daisuke Kadoh , Katsumasa Nakayama

We study dynamical supersymmetry breaking and the transition point by non-perturbative lattice techniques in a class of two-dimensional N=1 Wess-Zumino model. The method is based on the calculation of rigorous lower bounds on the ground…

High Energy Physics - Lattice · Physics 2007-05-23 Matteo Beccaria , Gian Fabrizio De Angelis , Massimo Campostrini , Alessandra Feo

Supersymmetric lattice Ward-Takahashi identities are investigated perturbatively up to two-loop corrections for super doubler approach of $N=2$ lattice Wess-Zumino models in 1- and 2-dimensions. In this approach notorious chiral fermion…

High Energy Physics - Lattice · Physics 2016-09-21 Keisuke Asaka , Alessandro D'Adda , Noboru Kawamoto , Yoshi Kondo

We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and {\it twisted} versions of conventional supersymmetric sigma models with N=2…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Catterall , Sofiane Ghadab

We study the phase diagram of the two-dimensional N=1 Wess-Zumino model using Wilson fermions and the fermion loop formulation. We give a complete non-perturbative determination of the ground state structure in the continuum and infinite…

High Energy Physics - Lattice · Physics 2013-11-21 David Baumgartner , Kyle Steinhauer , Urs Wenger

We investigate two-dimensional Wess-Zumino models in the continuum and on spatial lattices in detail. We show that a non-antisymmetric lattice derivative not only excludes chiral fermions but in addition introduces supersymmetry breaking…

High Energy Physics - Theory · Physics 2009-11-10 A. Kirchberg , J. D. Laenge , A. Wipf

We study supersymmetry breaking in the lattice N=1 Wess-Zumino model by the world-line path integral algorithm. The ground state energy and supersymmetric Ward identities are exploited to support the expected symmetry breaking in finite…

High Energy Physics - Lattice · Physics 2009-11-10 Matteo Beccaria , Carlo Rampino
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