Deconstruction and other approaches to supersymmetric lattice field theories
arXiv:hep-lat/0602007 · doi:10.1142/S0217751X06031752
Abstract
This report contains both a review of recent approaches to supersymmetric lattice field theories and some new results on the deconstruction approach. The essential reason for the complex phase problem of the fermion determinant is shown to be derivative interactions that are not present in the continuum. These irrelevant operators violate the self-conjugacy of the fermion action that is present in the continuum. It is explained why this complex phase problem does not disappear in the continuum limit. The fermion determinant suppression of various branches of the classical moduli space is explored, and found to be supportive of previous claims regarding the continuum limit.
70 pages
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Cited by in corpus (25)
- Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
- Towards lattice simulation of the gauge theory duals to black holes and hot strings
- Observing dynamical supersymmetry breaking with euclidean lattice simulations
- Lattice super-Yang-Mills using domain wall fermions in the chiral limit
- Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
- Euclidean lattice simulation for the dynamical supersymmetry breaking
- Relationship between various supersymmetric lattice models
- Two-Dimensional Wess-Zumino Models at Intermediate Couplings
- A Critique of the Link Approach to Exact Lattice Supersymmetry
- Flow Equation for Supersymmetric Quantum Mechanics
- First results from simulations of supersymmetric lattices
- Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
- Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
- Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
- Chiral Lattice Gauge Theories from Warped Domain Walls and Ginsparg-Wilson Fermions
- Two-dimensional N=(2,2) super Yang-Mills theory on computer
- Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
- Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
- The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
- On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
- Exact Vacuum Energy of Orbifold Lattice Theories
- Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
- Majorana fermions and CP-invariance of chiral gauge theories on the lattice
- Advances and applications of lattice supersymmetry
- A deconstruction lattice description of the D1/D5 brane world-volume gauge theory