DECONSTRUCTION AND OTHER APPROACHES TO SUPERSYMMETRIC LATTICE FIELD THEORIES

2006/02/03 by Joel Giedt · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.1142/s0217751x06031752

published as Int.J.Mod.Phys. A21 (2006) 3039-3094 · 70 pages

arxiv created 2006/02/03 · openalex publication_date 2006/06/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper 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.

Citations

• Feynman rules for non-perturbative sectors and anomalous supersymmetry Ward identities
• Adaptive Optimization of Wave Functions for Lattice Field Models
• A method for simulating chiral fermions on the lattice
• Exact Lattice Supersymmetry from Topological Field Theory
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
• Infinitely many regulator fields for chiral fermions
• Simulation of supersymmetric models with a local Nicolai map
• Supersymmetry and Supergravity
• Mtheory as a matrix model: A conjecture
• Hamiltonian formulation of Wilson's lattice gauge theories

Cited by

• Twisted supersymmetric invariant formulation of Chern-Simons gauge theory on a lattice
• Critique of the link approach to exact lattice supersymmetry