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We make a first study of the phase diagram of four-dimensional N=4 super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ is both gauge invariant and retains at all lattice spacings one exactly…

High Energy Physics - Lattice · Physics 2015-06-11 Simon Catterall , Poul H. Damgaard , Thomas Degrand , Richard Galvez , Dhagash Mehta

This work is a step towards merging the ideas that arise from semi-classical methods in continuum QFT with analytic/numerical lattice field theory. In this context, we consider Yang-Mills theories coupled to fermions in the adjoint…

High Energy Physics - Lattice · Physics 2018-12-05 Georg Bergner , Stefano Piemonte , Mithat Ünsal

The Sp(4) gauge theory with two Dirac fundamental flavours provides a candidate for the microscopic origin of composite-Higgs models based on the SU(4)/Sp(4) coset. We employ a combination of two different, complementary strategies for the…

High Energy Physics - Lattice · Physics 2020-05-20 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

The chiral symmetry at finite lattice spacing of Ginsparg-Wilson fermionic actions constrains the renormalization of the lattice operators; in particular, the topological susceptibility does not require any renormalization, when using a…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Claudio Pica

We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su$(2|3)$ sector of ${\cal N}=4$ super Yang-Mills theory, have a bare dimension $\sim N$ and are a linear…

High Energy Physics - Theory · Physics 2020-12-02 Robert de Mello Koch , Jia-Hui Huang , Minkyoo Kim , Hendrik J. R. Van Zyl

The use of adjoint (quasi) zero-modes of the Dirac operator to probe the Yangs-Mills vacuum has been recently advocated by Gonzalez-Arroyo and Kirchner. The construction relies on the use of the super-symmetric zero mode which, for…

High Energy Physics - Lattice · Physics 2009-04-14 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Alfonso Sastre

We present an overview of our project of large-scale simulations with dynamical overlap fermions. The first production run in two-flavor QCD is on-going using the Iwasaki gauge action on a 16^3 \times 32 lattice at the lattice spacing of…

We present a precise computation of the topological charge distribution in the $SU(3)$ Yang-Mills theory. It is carried out on the lattice with high statistics Monte Carlo simulations by employing the clover discretization of the field…

High Energy Physics - Lattice · Physics 2014-10-31 Marco Cè , Cristian Consonni , Georg P. Engel , Leonardo Giusti

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

High Energy Physics - Phenomenology · Physics 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

We calculate numerically the eigenvalue distribution of the overlap Dirac operator in the quenched Schwinger model on a lattice. The distribution does not fit any of the three universality classes of spontaneous chiral symmetry breaking,…

High Energy Physics - Lattice · Physics 2009-11-11 Poul H. Damgaard , Urs M. Heller , Rajamani Narayanan , Benjamin Svetitsky

We report on our recent results regarding numerical simulations of the four dimensional, N=1 Supersymmetric Yang-Mills theory with SU(3) gauge symmetry and light dynamical gluinos.

High Energy Physics - Lattice · Physics 2016-11-01 Sajid Ali , Georg Bergner , Henning Gerber , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We describe our recent work on the lattice formulation of N=4 three-dimensional super-Yang-Mills. Our formulation was based on the Donaldson-Witten twist, but we have also been studying the formulation based on the Blau-Thompson twist by…

High Energy Physics - Lattice · Physics 2018-11-05 Joel Giedt , Arthur Lipstein , Paul Martin

The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents…

High Energy Physics - Lattice · Physics 2019-12-06 Kenji Hieda , Aya Kasai , Hiroki Makino , Hiroshi Suzuki

We study two-dimensional N=(2,2) SU(N) super Yang-Mills theory on Euclidean two-torus using Sugino's lattice regularization. We perform the Monte-Carlo simulation for N=2,3,4,5 and then extrapolate the result to N = infinity. With the…

High Energy Physics - Lattice · Physics 2009-10-20 Masanori Hanada , Issaku Kanamori

We construct super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. Gauge fields are represented by ordinary unitary link variables, and the exact…

High Energy Physics - Lattice · Physics 2009-11-10 Fumihiko Sugino

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which…

High Energy Physics - Lattice · Physics 2010-11-18 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We formulate supersymmetric Euclidean spacetime Ad* lattices whose classical continuum limits are U(N) supersymmetric Yang-Mills theories with sixteen supercharges in d=1,2,3 and 4 dimensions. This family includes the especially interesting…

High Energy Physics - Lattice · Physics 2009-11-11 David B. Kaplan , Mithat Unsal

We use a single site lattice in four dimensions to study the scaling of large N Yang-Mills field coupled to a single massless Dirac fermion in the adjoint representation. We use the location of the strong to weak coupling transition defined…

High Energy Physics - Lattice · Physics 2015-06-04 A. Hietanen , R. Narayanan

In this paper we present results from numerical simulations of N=4 super Yang-Mills for two color gauge theory over a wide range of 't Hooft coupling $0<\lambda\le 30$ using a supersymmetric lattice action \cite{Catterall:2009it}. Numerical…

High Energy Physics - Lattice · Physics 2021-02-03 Simon Catterall , Joel Giedt , Goksu can Toga

It has been a big challenge for lattice QCD to simulate dynamical quarks near the chiral limit. Theoretically, it is well-known that the naive chiral symmetry cannot be realized on the lattice (the Nielsen-Ninomiya theorem). Also…

High Energy Physics - Lattice · Physics 2017-08-23 Hidenori Fukaya