1 code implementation • 30 Sep 2020 • Simon Catterall, Joel Giedt, Raghav G. Jha, David Schaich, Toby Wiseman
In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA supergravity. We study this conjecture in the Euclidean setting using nonperturbative lattice gauge theory calculations. Our supersymmetric lattice construction naturally puts the theory on a skewed Euclidean 3-torus.
High Energy Physics - Theory High Energy Physics - Lattice
1 code implementation • 3 Mar 2020 • David Schaich, Raghav G. Jha, Anosh Joseph
The phase diagram of the theory depends on both the temperature $T$ and the deformation parameter $\mu$, through the dimensionless ratios $T / \mu$ and $g \equiv \lambda / \mu^3$ with $\lambda$ the 't Hooft coupling.
High Energy Physics - Lattice High Energy Physics - Theory
1 code implementation • 20 Sep 2017 • Simon Catterall, Raghav G. Jha, David Schaich, Toby Wiseman
We consider maximally supersymmetric SU(N) Yang--Mills theory in Euclidean signature compactified on a flat two-dimensional torus with anti-periodic (`thermal') fermion boundary conditions imposed on one cycle.
High Energy Physics - Theory High Energy Physics - Lattice
1 code implementation • 20 Nov 2016 • David Schaich, Simon Catterall, Poul H. Damgaard, Joel Giedt
We present some of the latest results from our numerical investigations of N=4 supersymmetric Yang--Mills theory formulated on a space-time lattice.
High Energy Physics - Lattice High Energy Physics - Theory
1 code implementation • 31 Oct 2016 • Anna Hasenfratz, David Schaich
The systematic effects we investigate include the stability of the $(a / L) \to 0$ extrapolations, the interpolation of $\tilde g_c^2(L)$ as a function of the bare coupling, the improvement of the gradient flow running coupling, and the discretization of the energy density.
High Energy Physics - Lattice High Energy Physics - Phenomenology
1 code implementation • 3 Dec 2015 • David Schaich
Non-perturbative investigations of $\mathcal N = 4$ supersymmetric Yang--Mills theory formulated on a space-time lattice have advanced rapidly in recent years.
High Energy Physics - Lattice High Energy Physics - Theory
1 code implementation • 4 Aug 2015 • David Schaich, Simon Catterall
We summarize recent progress in lattice studies of four-dimensional N=4 supersymmetric Yang--Mills theory and present preliminary results from ongoing investigations.
High Energy Physics - Theory High Energy Physics - Lattice
1 code implementation • 12 May 2015 • Simon Catterall, David Schaich
We present a procedure to improve the lattice definition of $\mathcal N = 4$ supersymmetric Yang--Mills theory.
High Energy Physics - Lattice High Energy Physics - Theory
1 code implementation • 1 Nov 2014 • Simon Catterall, Joel Giedt, David Schaich, Poul H. Damgaard, Thomas DeGrand
We report recent results and developments from our ongoing lattice studies of $\mathcal N = 4$ supersymmetric Yang--Mills theory.
High Energy Physics - Lattice High Energy Physics - Theory
1 code implementation • 25 Oct 2014 • David Schaich, Thomas DeGrand
We present new parallel software, SUSY LATTICE, for lattice studies of four-dimensional $\mathcal N = 4$ supersymmetric Yang--Mills theory with gauge group SU(N).
High Energy Physics - Lattice High Energy Physics - Theory
1 code implementation • 21 Oct 2014 • Anna Hasenfratz, David Schaich, Aarti Veernala
We present a new lattice study of the discrete beta function for SU(3) gauge theory with Nf=8 massless flavors of fermions in the fundamental representation.
High Energy Physics - Lattice High Energy Physics - Phenomenology
1 code implementation • 4 May 2014 • Simon Catterall, Poul H. Damgaard, Thomas DeGrand, Joel Giedt, David Schaich
We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N) gauge group with the expected apparently conformal behavior at both weak and strong coupling.
High Energy Physics - Lattice High Energy Physics - Theory
1 code implementation • 7 Jan 2013 • Anqi Cheng, Anna Hasenfratz, Gregory Petropoulos, David Schaich
For the 8-flavor model we observe a large anomalous dimension across a wide range of energy scales.
High Energy Physics - Lattice High Energy Physics - Phenomenology
