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The phases of a lattice gauge model for the massive Yang-Mills are investigated. The phase diagram supports the recent conjecture on the large energy behavior of nonlinearly realized massive gauge theories (i.e. mass a` la Stueckelberg, no…

High Energy Physics - Lattice · Physics 2012-06-07 Ruggero Ferrari

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

Toroidally compactified Yang-Mills theory on the lattice is studied by using the Hybrid Monte Carlo algorithm. When the compact dimensions are small, the theory naturally reduces to Yang-Mills with scalars. We confirm previous analytical…

High Energy Physics - Theory · Physics 2017-11-08 Masanori Hanada , Paul Romatschke

Phase transitions in zero-temperature 3D Z(N) lattice gauge theories are studied. We use a cluster algorithm defined for the dual formulation of the models. We also attempt to explain the nature of the intermediate continuously symmetric…

High Energy Physics - Lattice · Physics 2013-11-05 Oleg Borisenko , Volodymyr Chelnokov , Gennaro Cortese , Mario Gravina , Alessandro Papa , Ivan Surzhikov

We construct simple qubit-regularized Hamiltonian lattice gauge theories formulated in the monomer--dimer--tensor-network (MDTN) basis that are free of sign problems in the pure gauge sector. These models naturally realize both confined and…

High Energy Physics - Lattice · Physics 2026-02-27 Shailesh Chandrasekharan

We present the latest results from our ongoing lattice field theory investigations of maximally supersymmetric Yang--Mills theory in three space-time dimensions, focusing on its non-perturbative phase diagram. Exploiting a lattice…

High Energy Physics - Lattice · Physics 2025-10-22 David Schaich , Angel Sherletov

We analyze the branching of center vortices in $SU(3)$ Yang-Mills theory in maximal center gauge. When properly normalized, we can define a branching probability that turns out to be independent of the lattice spacing (in the limited…

High Energy Physics - Theory · Physics 2018-11-26 Felix Spengler , Markus Quandt , Hugo Reinhardt

We present new results from our lattice investigations of maximally supersymmetric Yang--Mills theory in three dimensions, focusing on its nonperturbative phase diagram. Using a lattice formulation that preserves part of the supersymmetry…

High Energy Physics - Lattice · Physics 2026-03-31 Anosh Joseph , David Schaich

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

High Energy Physics - Lattice · Physics 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

We perform a numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4. Using the dual formulation of the models and a cluster algorithm we locate the position of the critical…

High Energy Physics - Lattice · Physics 2015-06-12 O. Borisenko , V. Chelnokov , G. Cortese , M. Gravina , A. Papa , I. Surzhikov

We study properties of SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime in which two directions are compactified into a finite two-dimensional torus ${\mathbb T}^2$ while two others constitute a large ${\mathbb R}^2$…

High Energy Physics - Lattice · Physics 2019-04-24 M. N. Chernodub , V. A. Goy , A. V. Molochkov

We study the finite-temperature behaviour of the $Sp(4)$ Yang-Mills lattice theory in four dimensions, by applying the Logarithmic Linear Relaxation (LLR) algorithm. We demonstrate the presence of coexisting (metastable) phases, when the…

High Energy Physics - Lattice · Physics 2025-05-14 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

We study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on R^3xS^1 as a function of the fermion mass m and the compactification scale L. This theory reduces to thermal pure gauge theory as m->infinity and to…

High Energy Physics - Theory · Physics 2015-06-05 Erich Poppitz , Thomas Schaefer , Mithat Unsal

We study the phase structure of N=1 supersymmetric Yang-Mills theory on R^3XS^1, with massive gauginos, periodic around the S^1, with Sp(2N) (N>=2), Spin(N) (N>=5), G_2, F_4, E_6, E_7, E_8 gauge groups. As the gaugino mass m is increased,…

High Energy Physics - Theory · Physics 2015-06-19 Mohamed M. Anber , Erich Poppitz , Brett Teeple

Lattice discretization of the supersymmetric Yang-Mills quantum mechanics is dis cussed. First results of the quenched Monte Carlo simulations, for D=4 and with higher g auge groups (3 <= N <= 8), are presented. We confirm an earlier (N=2)…

High Energy Physics - Lattice · Physics 2017-08-23 P. Bialas , J. Wosiek

At low energies or temperatures, maximally supersymmetric Yang-Mills theory on $\mathbb R^{(t)}\times S^1$ with large $N$ gauge group $SU(N)$ and strong t'Hooft coupling is conjectured to be dual to the low energy dynamics of a collection…

High Energy Physics - Theory · Physics 2017-06-28 Oscar J. C. Dias , Jorge E. Santos , Benson Way

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

High Energy Physics - Lattice · Physics 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

Extensions of the standard model that lead to first-order phase transitions in the early universe can produce a stochastic background of gravitational waves, which may be accessible to future detectors. Thermodynamic observables at the…

High Energy Physics - Lattice · Physics 2023-01-11 David Mason , Biagio Lucini , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

The behavior of supersymmetric theories at finite temperatures differs from that of other theories in certain aspects. Due to the different thermal statistics of bosons and fermions, supersymmetry is explicitly broken for any non-zero value…

High Energy Physics - Lattice · Physics 2015-01-13 G. Bergner , P. Giudice , G. Münster , S. Piemonte , D. Sandbrink

The phase diagram of SO(3) lattice gauge theory is investigated by Monte Carlo techniques on both symmetric and asymmetric lattices with a view (i) to understanding the relationship between the bulk transition and the deconfinement…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai
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