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Results for the gravitational Wilson loop, in particular the area law for large loops in the strong coupling region, and the argument for an effective positive cosmological constant discussed in a previous paper, are extended to other…

High Energy Physics - Theory · Physics 2015-03-13 Herbert W. Hamber , Ruth M. Williams

We present results of numerical simulations for pure U(1) gauge theory in a non-commutative space. The theory is mapped onto a dimensionally reduced matrix model, which renders its numerical treatment feasible. New data on large lattices…

High Energy Physics - Lattice · Physics 2007-05-23 J. Volkholz , W. Bietenholz , J. Nishimura , Y. Susaki

We introduce a novel bridge between the familiar gauge field theory approaches used in many areas of modern physics such as quantum field theory and the SLOCC protocols familiar in quantum information. Although the mathematical methods are…

We calculate Wilson loops of various sizes up to loop order $n=20$ for lattice sizes of $L^4 (L=4, 6, 8, 12)$ using the technique of Numerical Stochastic Perturbation Theory in quenched QCD. This allows to investigate the behaviour of the…

High Energy Physics - Lattice · Physics 2010-11-05 E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

The Abelian dominance for the string tension was shown for the fundamental sources in MA gauge in the lattice simulations. For higher representations, however, it is also known that the naive "Abelian" Wilson loop, which is defined by using…

High Energy Physics - Lattice · Physics 2018-12-17 Ryutaro Matsudo , Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo

Using background field perturbation theory we study Wilsonian effective actions of noncommutative gauge theories with an arbitrary matter content. We determine the Wilsonian coupling constant and the gauge boson polarization tensor as…

High Energy Physics - Theory · Physics 2010-02-03 Valentin V. Khoze , Gabriele Travaglini

In this paper, we study the dynamics of the light quark jet moving through the static, strongly coupled $\mathcal{N}=4$, anisotropic plasma with and without charge. The light quark is presented by a point-like initial condition falling…

High Energy Physics - Theory · Physics 2018-01-22 Kazem Bitaghsir Fadafan , Razieh Morad

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely…

Probability · Mathematics 2016-10-13 Jafar Jafarov

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter, and quantum information science. Their local symmetries enforce the charge conservation observed in the laws of physics. Impressive…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 Hannes Riechert , Jad C. Halimeh , Valentin Kasper , Landry Bretheau , Erez Zohar , Philipp Hauke , Fred Jendrzejewski

Pure lattice gauge theories in three dimensions are widely expected to confine. A rigorous proof of confinement for three-dimensional $\mathrm{U}(1)$ lattice gauge theory with Villain action was given by G\"opfert and Mack. Beyond the…

Mathematical Physics · Physics 2026-02-03 Sourav Chatterjee

The transition from a false vacuum to the true vacuum is a real-time phenomenon of interest in many contexts. It represents a special challenge for strongly interacting non-Abelian gauge theories because standard spacetime lattices…

High Energy Physics - Lattice · Physics 2025-07-02 Ali H. Z. Kavaki , Randy Lewis

We reconsider the problem of transverse momentum broadening of a highly-energetic parton suffering multiple scatterings in dense colored media, such as the thermal Quark-Gluon plasma or large nuclei. In the framework of Moli\`ere's theory…

High Energy Physics - Phenomenology · Physics 2021-10-04 Joao Barata , Yacine Mehtar-Tani , Alba Soto-Ontoso , Konrad Tywoniuk

At very high energies, in the infinite momentum frame and in light cone gauge, a hard scale proportional to the high parton density arises in QCD. In an effective theory of QCD at small $x$, this scale is of order $\alpha_S\mu$, where $\mu$…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alex Krasnitz , Raju Venugopalan

The interference patterns of ultracold atoms, observed after ballistic expansion from optical lattices, encode essential information about strongly correlated lattice systems, including phase coherence and non-local correlations. While the…

Starting with the representation of the Wilson average in the Euclidean 4D compact QED as a partition function of the Universal Confining String Theory, we derive for it the corresponding loop equation, alternative to the familiar one. In…

High Energy Physics - Theory · Physics 2016-09-06 D. V. Antonov

The Linear Boltzmann Transport (LBT) model for jet propagation and interaction in quark-gluon plasma (QGP) has been used to study jet quenching in high-energy heavy-lion collisions. The suppression of single inclusive jet production, medium…

Nuclear Theory · Physics 2019-02-20 Yayun He , Shanshan Cao , Wei Chen , Tan Luo , Long-Gang Pang , Xin-Nian Wang

We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark…

High Energy Physics - Lattice · Physics 2010-11-05 Oliver Bar , Silvia Necco , Stefan Schaefer

Tensor network states have been a very prominent tool for the study of quantum many-body physics, thanks to their physically relevant entanglement properties and their ability to encode symmetries. In the last few years, the formalism has…

Quantum Physics · Physics 2021-12-20 Erez Zohar

We present the spin-wave theory of the excitation spectrum and quench dynamics of the non-Hermitian transverse-field Ising model. The complex excitation spectrum is obtained for a generic hypercubic lattice using the linear approximation of…

Quantum Physics · Physics 2024-11-26 Julien Despres , Leonardo Mazza , Marco Schirò

Lattice measurements provide adequate information to fix the parameters of long distance effective field theories in Euclidean time. Using such a theory, we examine the analytic continuation of long distance correlation functions of…

High Energy Physics - Phenomenology · Physics 2020-12-30 Sourendu Gupta , Rishi Sharma