We provide an introduction to recent lattice formulations of supersymmetric theories which
are invariant under one or more real supersymmetries at non-zero lattice spacing. These …

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 …

We explore the thermodynamics of the 1+ 1-dimensional Gross-Neveu (GN) model at a finite
number of fermion flavors N f, finite temperature, and finite chemical potential using lattice …

A quantum field theory (QFT) is an extension of the principles of quantum mechanics to
fields based on the wave properties of matter. It is generally accepted that QFT is an …

We present quantum Monte Carlo simulations for the chiral Heisenberg Gross-Neveu-
Yukawa quantum phase transition of relativistic fermions with N= 4 Dirac spinor components …

We investigate the finite-temperature and-density chiral Gross-Neveu model with an axial
UA (1) symmetry in 1+ 1 dimensions on the lattice. In the limit where the number of flavors N …

A bstract Supersymmetric models with spontaneous supersymmetry breaking suffer from the
notorious sign problem in stochastic approaches. By contrast, the tensor network …

A generalization of the AdS/CFT conjecture postulates a duality between IIA string theory
and 16 supercharge Yang-Mills quantum mechanics in the large N't Hooft limit. At low …

In a recent work [J. Lenz, Phys. Rev. D 101, 094512 (2020) PRVDAQ 2470-0010
10.1103/PhysRevD. 101.094512] we studied the phase structure of the Gross-Neveu (GN) …

The Thirring model is a four-fermion theory with a current-current interaction and U (2 N)
chiral symmetry. It is closely related to three-dimensional QED and other models used to …