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Using a new type of simulation algorithm for the standard SU(3) lattice gauge theory that yields results with unprecedented precision, we confirm the presence of a $\gamma/r$ correction to the static quark potential at large distances $r$,…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz

Numerical Stochastic Perturbation Theory (NSPT) has over the years proved to be a valuable tool, in particular being able to reach unprecedented orders for Lattice Gauge Theories, whose perturbative expansions are notoriously cumbersome.…

High Energy Physics - Lattice · Physics 2022-12-22 Paolo Baglioni , Francesco Di Renzo

The study of real-time evolution of lattice quantum field theories using classical computers is known to scale exponentially with the number of lattice sites. Due to a fundamentally different computational strategy, quantum computers hold…

Quantum Physics · Physics 2022-11-22 Christopher Kane , Dorota M. Grabowska , Benjamin Nachman , Christian W. Bauer

We compare the predictions of the Nambu-Goto effective string model with a set of high precision Monte Carlo results for interfaces with periodic boundary conditions in the 3D Ising model. We compute the free energy in the covariant gauge…

High Energy Physics - Lattice · Physics 2008-11-26 M. Billo , M. Caselle , L. Ferro , M. Hasenbusch , M. Panero

Topologically-ordered phases are stable to local perturbations, and topological quantum error-correcting codes enjoy thresholds to local errors. We connect the two notions of stability by constructing classical statistical mechanics models…

Quantum Physics · Physics 2025-02-13 Yaodong Li , Nicholas O'Dea , Vedika Khemani

We study field strength correlators in presence of a static quark-antiquark pair by use of lattice methods. The lattice data have been acquired recently in the context of a determination of relativistic corrections to the static interquark…

High Energy Physics - Lattice · Physics 2014-11-17 Gunnar S. Bali , Nora Brambilla , Antonio Vairo

One major systematic uncertainty of lattice QCD results is due to the continuum extrapolation. For an asymptotically free theory like QCD one finds corrections of the form $a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ with…

High Energy Physics - Lattice · Physics 2022-12-20 Nikolai Husung

We analyze N=2 (perturbative and non-perturbative) corrections to the effective theory in type I orbifold models where a dual heterotic description is available. These corrections may play an important role in phenomenological scenarios.…

High Energy Physics - Theory · Physics 2008-11-26 P. G. Camara , E. Dudas

The possibility of having a gauge fixing term in the effective Lagrangian that is not a quadratic expression has been explored in spin-two theories so as to have a propagator that is both traceless and transverse. We first show how this…

High Energy Physics - Theory · Physics 2014-11-18 F. T. Brandt , D. G. C. McKeon

The leading term for the energy of a bound state of k-quarks and k-antiquarks is proportional to its separation L. These k-string configurations have a Luscher term associated with their quantum fluctuations which is typically a 1/L…

High Energy Physics - Theory · Physics 2009-11-19 Christopher A. Doran , Leopoldo A. Pando Zayas , Vincent G. J. Rodgers , Kory Stiffler

We investigate the effective potential of the Polyakov loop, which is the order parameter for the deconfinement phase transition in finite temperature QCD. Our work is based on the Hamiltonian approach in Coulomb gauge where finite…

High Energy Physics - Phenomenology · Physics 2022-12-14 Markus Quandt , Hugo Reinhardt

The 4D compact U(1) lattice gauge theory (LGT) in the confinement phase is studied with the multi-level algorithm. The static potential, force and flux-tube profile between two static charges are precisely measured from correlation…

High Energy Physics - Lattice · Physics 2009-11-10 Y. Koma , M. Koma , P. Majumdar

The conservation of the isovector axial current in lattice QCD with massless Wilson quarks is studied to one-loop order of perturbation theory. Following a strategy described in a previous publication, the O($a$) counterterm required for…

High Energy Physics - Lattice · Physics 2016-08-15 M. Lüscher , P. Weisz

Nambu-Goto action of bosonic string predicts the quark-antiquark potential to be $ V (r) = \frac{\gamma}{r} + \sigma r +\mu_0 $. The coefficient$ \gamma = - \frac{\pi(d-2)}{24} $ is the universal L\"{u}scher coefficient of the L\"uscher…

High Energy Physics - Phenomenology · Physics 2013-05-15 Sabyasachi Roy , D. K. Choudhury

We compute the electron $g$ factor to the $\mathcal{O}(\alpha^5)$ order on the lattice in quenched QED. We first study finite volume corrections in various IR regularization methods to discuss which regularization is optimal for our…

High Energy Physics - Lattice · Physics 2023-10-17 Ryuichiro Kitano , Hiromasa Takaura

We study the generalized cusp anomalous dimension, or quark-antiquark potential on the three-sphere, in the presence of a large $R$-charge $L$ and at strong coupling. Considering the insertion of a local scalar operator of charge $L$ on a…

High Energy Physics - Theory · Physics 2025-12-18 Davide Bonomi , Valentina Forini , Valentina Giangreco M. Puletti , Luca Griguolo , Domenico Seminara

Least-squares Petrov--Galerkin (LSPG) model-reduction techniques such as the Gauss--Newton with Approximated Tensors (GNAT) method have shown promise, as they have generated stable, accurate solutions for large-scale turbulent, compressible…

Numerical Analysis · Computer Science 2016-08-18 Kevin Carlberg , Matthew Barone , Harbir Antil

In the past decade we have witnessed remarkable developments in the gauge-gravity duality, which suggested a new approach to superstring theory and quantum space-time. In this context it is important to study supersymmetric large-N gauge…

High Energy Physics - Lattice · Physics 2010-11-05 Jun Nishimura

The long range properties of four-dimensional compact U(1) lattice gauge theory with the Wilson action in the confinement phase is studied by using the multi-level algorithm. The static potential, force and flux-tube profile between two…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshiaki Koma , Miho Koma , Pushan Majumdar

We implement a proper-time UV regularisation of the Nambu-Goto string, introducing an independent metric tensor and the corresponding Lagrange multiplier, and treating them in the mean-field approximation justified for long strings and/or…

High Energy Physics - Theory · Physics 2016-03-30 Jan Ambjorn , Yuri Makeenko
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