Lattice studies of supersymmetric gauge theories

D Schaich - The European Physical Journal Special Topics, 2023 - Springer
Supersymmetry plays prominent roles in the study of quantum field theory and in many
proposals for potential new physics beyond the standard model. Lattice field theory provides …

supersymmetry on a space-time lattice

S Catterall, D Schaich, PH Damgaard, T DeGrand… - Physical Review D, 2014 - APS
Maximally supersymmetric Yang–Mills theory in four dimensions can be formulated on a
space-time lattice while exactly preserving a single supersymmetry. Here we explore in …

Loop equations and bootstrap methods in the lattice

PD Anderson, M Kruczenski - Nuclear Physics B, 2017 - Elsevier
Pure gauge theories can be formulated in terms of Wilson Loops by means of the loop
equation. In the large-N limit this equation closes in the expectation value of single loops. In …

Parallel software for lattice N= 4 supersymmetric Yang–Mills theory

D Schaich, T DeGrand - Computer Physics Communications, 2015 - Elsevier
We present new parallel software, SUSY LATTICE, for lattice studies of four-dimensional N=
4 supersymmetric Yang–Mills theory with gauge group SU (N). The lattice action is …

Progress and prospects of lattice supersymmetry

D Schaich - arXiv preprint arXiv:1810.09282, 2018 - arxiv.org
Supersymmetry plays prominent roles in the study of quantum field theory and in many
proposals for potential new physics beyond the standard model, while lattice field theory …

On the sign problem in 2D lattice super Yang-Mills

S Catterall, R Galvez, A Joseph, D Mehta - Journal of High Energy Physics, 2012 - Springer
A bstract In recent years a new class of supersymmetric lattice theories have been proposed
which retain one or more exact supersymmetries for non-zero lattice spacing. Recently there …

Phase structure of lattice super Yang-Mills

S Catterall, PH Damgaard, T DeGrand… - Journal of High Energy …, 2012 - Springer
A bstract We make a first study of the phase diagram of four-dimensional\(\mathcal {N}= 4\)
super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ …

Supersymmetric Yang–Mills theories with exact supersymmetry on the lattice

A Joseph - International Journal of Modern Physics A, 2011 - World Scientific
Inspired by the ideas from topological field theory it is possible to rewrite the supersymmetric
charges of certain classes of extended supersymmetric Yang–Mills (SYM) theories in such a …

Markov chain Monte Carlo for dummies

M Hanada - arXiv preprint arXiv:1808.08490, 2018 - arxiv.org
This is an introductory article about Markov Chain Monte Carlo (MCMC) simulation for
pedestrians. Actual simulation codes are provided, and necessary practical details, which …

Investigations of supersymmetric Yang--Mills theories

A Sherletov, D Schaich - arXiv preprint arXiv:2201.08626, 2022 - arxiv.org
We present new results from ongoing lattice investigations of supersymmetric Yang--Mills
(SYM) theories in three and four space-time dimensions. First considering the maximally …