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We present our current results from ongoing lattice investigations of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. We focus on the thermal phase structure of this theory, which…

High Energy Physics - Lattice · Physics 2023-04-11 David Schaich , Raghav G. Jha , Anosh Joseph

We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span three orders of magnitude in the coupling, involving systems…

High Energy Physics - Lattice · Physics 2025-05-28 Raghav G. Jha , Anosh Joseph , David Schaich

We investigate the $(2+1)$-dimensional $q$-deformed $\mathrm{SU}(N)_k$ Yang-Mills theory in the lattice Hamiltonian formalism, which is characterized by three parameters: the number of colors $N$, the coupling constant $g$, and the level…

High Energy Physics - Lattice · Physics 2026-01-08 Tomoya Hayata , Yoshimasa Hidaka , Hiromasa Watanabe

We study the phase diagram of non-Abelian pure gauge theories in the presence of a topological theta term. The dependence of the deconfinement temperature on theta is determined on the lattice both by analytic continuation and by…

High Energy Physics - Lattice · Physics 2013-11-19 Massimo D'Elia , Francesco Negro

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 present numerical results for the phase diagram of lattice QCD at finite temperature in the formulation with twisted mass Wilson fermions and a tree-level Symanzik-improved gauge action. Our simulations are performed on lattices with…

High Energy Physics - Lattice · Physics 2010-04-14 E. -M. Ilgenfritz , K. Jansen , M. P. Lombardo , M. Müller-Preußker , M. Petschlies , O. Philipsen , L. Zeidlewicz

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

We report on the results of numerical simulations of 1+1 dimensional SU(N) Yang-Mills theory with maximal supersymmetry at finite temperature and compactified on a circle. For large N this system is thought to provide a dual description of…

High Energy Physics - Theory · Physics 2016-12-20 Simon Catterall , Anosh Joseph , Toby Wiseman

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

Supersymmetry (SUSY) has been proposed to be a central concept for the physics beyond the standard model and for a description of the strong interactions in the context of the AdS/CFT correspondence. A deeper understanding of these…

High Energy Physics - Lattice · Physics 2015-06-19 G. Bergner , P. Giudice , G. Münster , S. Piemonte , D. Sandbrink

Recently, it has been conjectured that deconfining phase transition in SU(N_c) pure Yang-Mills theories is continuously connected to a quantum phase transition in softly broken N=1 super Yang-Mills on R^{1,2}*S^1. We exploit this conjecture…

High Energy Physics - Theory · Physics 2013-10-30 Mohamed M. Anber

We study matrix quantum mechanics at finite temperature by Monte Carlo simulation. The model is obtained by dimensionally reducing 10d U(N) pure Yang-Mills theory to 1d. Following Aharony et al., one can view the same model as describing…

High Energy Physics - Theory · Physics 2008-11-26 Naoyuki Kawahara , Jun Nishimura , Shingo Takeuchi

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

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

The phase diagram on the $\theta$-$T$ plane in four dimensional SU(3) Yang-Mills theory is explored. We revisit the $\theta$ dependence of the deconfinement transition temperature, $T_c(\theta)$, on the lattice through the constraint…

High Energy Physics - Lattice · Physics 2022-06-29 Noriaki Otake , Norikazu Yamada

We summarize and extend evidence that the deconfinement phase transition in Yang-Mills theories can be viewed as change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four…

High Energy Physics - Phenomenology · Physics 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

We report progress in our exploration of the finite-temperature phase structure of two-flavour lattice QCD with twisted-mass Wilson fermions and a tree-level Symanzik-improved gauge action for a temporal lattice size N_{\tau}=8. Extending…

High Energy Physics - Lattice · Physics 2010-01-21 E. -M. Ilgenfritz , K. Jansen , M. P. Lombardo , M. Müller-Preussker , M. Petschlies , O. Philipsen , L. Zeidlewicz

We study the bosonic part of the BMN matrix model for wide ranges of temperatures, values of the deformation parameter, and numbers of colors $16 \leq N \leq 48$. Using lattice computations, we analyze phase transitions in the model,…

High Energy Physics - Lattice · Physics 2022-05-31 Navdeep Singh Dhindsa , Raghav G. Jha , Anosh Joseph , Abhishek Samlodia , David Schaich

We present an exploratory study to determine the confinement-deconfinement transition temperature at finite $\theta$, $T_c(\theta)$, for the 4d \SU(2) pure Yang-Mills theory. Lattice numerical simulations are performed on three spatial…

High Energy Physics - Lattice · Physics 2025-02-04 Norikazu Yamada , Masahito Yamazaki , Ryuichiro Kitano

We study the influence of thermal fluctuations in the phase diagram of a recently introduced two-dimensional phase field crystal model with an external pinning potential. The model provides a continuum description of pinned lattice systems…

Materials Science · Physics 2008-09-10 J. A. P. Ramos , E. Granato , C. V. Achim , S. C. Ying , K. R. Elder , T. Ala-Nissila
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