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Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional conditions. This continues recent work of Chatterjee, which…

Probability · Mathematics 2020-12-02 Sky Cao

We present an estimate for the imaginary part of the recently introduced finite temperature real-time static potential. It can be extracted from the time evolution of the Wilson loop in classical lattice gauge theory. The real-time static…

High Energy Physics - Lattice · Physics 2009-04-14 M. Laine , O. Philipsen , M. Tassler

The formulation of massless relativistic fermions in lattice gauge theories is hampered by the fundamental problem of species doubling, namely, the rise of spurious fermions modifying the underlying physics. A suitable tailoring of the…

Quantum Gases · Physics 2010-11-15 A. Bermudez , L. Mazza , M. Rizzi , N. Goldman , M. Lewenstein , M. A. Martin-Delgado

We calculate the light-cone wavefunctions of the pion by solving the meson boundstate problem in a coarse transverse lattice gauge theory using DLCQ. A large-N_c approximation is made and the light-cone Hamiltonian expanded in massive…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Dalley , B. van de Sande

The equations obeyed by the vacuum expectation value of the Wilson loop of Abelian gauge theories are considered from the point of view of the loop-space. An approximative scheme for studying these loop-equations for lattice Maxwell theory…

High Energy Physics - Theory · Physics 2016-08-16 Cayetano Di Bartolo , Lorenzo Leal , Francisco Peña

We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group $\mathbb{Z}_n$. We study Wilson line observables in the strong coupling regime and compute their asymptotic behavior with error…

Probability · Mathematics 2024-10-07 Malin P. Forsström , Jonatan Lenells , Fredrik Viklund

By using the gauge/gravity duality and the Maldacena prescription we compute the expectation values of the Wilson loops in noncommutative Yang-Mills (NCYM) theory in (3+1) dimensions. We consider both the time-like and the light-like Wilson…

High Energy Physics - Theory · Physics 2015-02-03 Somdeb Chakraborty , Najmul Haque , Shibaji Roy

The behavior of the adjoint Wilson line in finite-temperature, $SU(2)$, lattice gauge theory is discussed. The expectation value of the line and the associated excess free energy reveal the response of the finite-temperature gauge field to…

High Energy Physics - Lattice · Physics 2009-10-22 J. Kiskis , P. Vranas

Recently Liu, Rajagopal and Wiedemann (LRW) [hep-ph/0605178] proposed a first principle, nonperturbative quantum field theoretic definition of ``jet quenching parameter'' \hat{q} used in models of medium-induced radiative parton energy loss…

High Energy Physics - Theory · Physics 2009-11-11 Alex Buchel

We use the framework of Glauber extended Soft-Collinear Effective Theory to explicitly derive a gauge invariant expression of the jet quenching parameter $\hat{q}$. The effective theory approach offers a systematic power counting scheme at…

High Energy Physics - Phenomenology · Physics 2012-08-30 Michael Benzke

We present a lattice study of the momentum broadening experienced by a hard parton in the quark-gluon plasma. In particular, the contributions to this real-time phenomenon from soft modes are extracted from a set of gauge-invariant…

High Energy Physics - Lattice · Physics 2014-12-09 Marco Panero , Kari Rummukainen , Andreas Schäfer

We discuss how to implement, in lattice gauge theories, external charges which are not commensurate with an elementary gauge coupling. It is shown that an arbitrary, real power of a standard Wilson loop (or Polyakov line) can be defined and…

High Energy Physics - Lattice · Physics 2017-08-23 Piotr Korcyl , Mateusz Koren , Jacek Wosiek

For jets, with great power comes great opportunity. The unprecedented center of mass energies available at the LHC open new windows on the QGP: we demonstrate that jet shape and jet cross section measurements become feasible as a new,…

High Energy Physics - Phenomenology · Physics 2009-05-20 Ivan Vitev , Simon Wicks , Ben-Wei Zhang

Nowadays it is experimentally feasible to create artificial, and in particular, non-Abelian gauge potentials for ultracold atoms trapped in optical lattices. Motivated by this fact, we investigate the fundamental properties of an ultracold…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 N. Goldman , A. Kubasiak , P. Gaspard , M. Lewenstein

Lattice gauge theories describe fundamental phenomena in nature, but calculating their real-time dynamics on classical computers is notoriously difficult. In a recent publication [Nature 534, 516 (2016)], we proposed and experimentally…

We consider the lattice Higgs model on $\mathbb{Z}^4$, with structure group given by $ \mathbb{Z}_n $ for $ n \geq 2 $. We compute the expected value of the Wilson loop observable to leading order when the gauge coupling constant and…

Probability · Mathematics 2023-05-31 Malin P. Forsström , Jonatan Lenells , Fredrik Viklund

From a detailed analysis of cone-jet cross sections in effective field theory, we obtain novel factorization theorems which separate the physics associated with different energy scales present in such processes. The relevant low-energy…

High Energy Physics - Phenomenology · Physics 2017-05-08 Thomas Becher , Matthias Neubert , Lorena Rothen , Ding Yu Shao

One possibility for Beyond Standard Model physics is a new strongly-interacting gauge theory. One way to determine if a non-abelian gauge theory is QCD-like or conformal is to measure the running of the renormalized gauge coupling. We…

High Energy Physics - Lattice · Physics 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

Lattice gauge theory simulations are our principal probe of the masses of the light quarks. Results from such computations are the primary evidence against the $m_u=0$ solution to the strong CP problem. The large-$N$ approximation offers an…

High Energy Physics - Phenomenology · Physics 2022-02-02 Daniel Davies , Michael Dine , Benjamin V. Lehmann

Equations of motion for the light-like QCD Wilson loops are studied in the generalized loop space (GLS) setting. To this end, the classically conformal-invariant non-local variations of the cusped Wilson exponentials lying (partially) on…

High Energy Physics - Phenomenology · Physics 2015-03-06 I. O. Cherednikov , T. Mertens