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The color flux tube connecting a static quark-anti-quark pair in Yang-Mills theory supports massless transverse fluctuations, which are the Goldstone bosons of spontaneously broken translation invariance. Just as in chiral perturbation…

High Energy Physics - Lattice · Physics 2011-03-30 F. Gliozzi , M. Pepe , U. -J. Wiese

We employ a heat kernel expansion to derive an effective action that describes four dimensional SU(2) Yang-Mills theory in the infrared limit. Our result supports the proposal that at large distances the theory is approximated by the…

High Energy Physics - Theory · Physics 2008-11-26 Edwin Langmann , Antti J. Niemi

We investigate the SU(3) Yang Mills theory at small gradient flow time and at short distances. Lattice spacings down to $a=0.015$ fm are simulated with open boundary conditions to allow topology to flow in and out. We study the behaviour of…

High Energy Physics - Lattice · Physics 2018-04-18 Nikolai Husung , Mateusz Koren , Philipp Krah , Rainer Sommer

We present our updated results on the intrinsic width of the profile of the flux tube in (2+1)-dimensional Yang-Mills theory with SU(2) gauge group. We identify the intrinsic width as the characteristic length scale of the exponentially…

High Energy Physics - Lattice · Physics 2026-03-06 Lorenzo Verzichelli , Michele Caselle , Elia Cellini , Alessandro Nada , Dario Panfalone

We study {2Q+1}-strings connecting two static charges Q in (2+1)-d SU(2) Yang-Mills theory. While the fundamental {2}-string between two charges Q = 1/2 is unbreakable, the adjoint {3}-string connecting two charges Q = 1 can break. When a…

High Energy Physics - Lattice · Physics 2009-06-30 M. Pepe , U. -J. Wiese

Results of a high statistics study of chromo field distributions around static sources in pure SU(2) gauge theory on lattices of volumes $16^4$, $32^4$, and $48^3\times 64$ at $\beta=2.5$, $2.635$, and $2.74$ are presented. We establish…

High Energy Physics - Lattice · Physics 2009-10-28 Ch. Schlichter , G. S. Bali , K. Schilling

We present here results on the fine structure of the static q\bar q potential in d=4 SU(3) Yang-Mills theory. The potential is obtained from Polyakov loop correlators having separations between 0.3 and 1.2 fermi. Measurements were carried…

High Energy Physics - Lattice · Physics 2009-11-11 N. D. Hari Dass , Pushan Majumdar

We apply the pseudoparticle approach to SU(2) Yang-Mills theory and perform a detailed study of the potential between two static charges for various representations. Whereas for charges in the fundamental representation we find a linearly…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian Szasz , Marc Wagner

We discuss the formation of cosmic strings or macroscopic color flux tubes after the deconfinement/confinement phase transition in the pure Yang-Mills theory. Based on holographic dual descriptions, these cosmic strings can be interpreted…

High Energy Physics - Theory · Physics 2023-02-15 Masaki Yamada , Kazuya Yonekura

In $SU(N)$ Yang-Mills theory without matter, there exist stable long electric fluxtube strings which carry a 1-form symmetry charge. Over the past decade or so, there has been increasing evidence from lattice calculations that the…

High Energy Physics - Theory · Physics 2025-11-12 Bobby Samir Acharya , Ethan Torres

We compute and analyse the low-lying spectrum of 2+1 dimensional $SU(N)$ Yang-Mills theory on a spatial torus of size $l\times l$ with twisted boundary conditions. This paper extends our previous work \cite{Perez:2013dra}. In that paper we…

High Energy Physics - Theory · Physics 2018-08-08 Margarita García Pérez , Antonio González-Arroyo , Mateusz Koren , Masanori Okawa

We explore further the Hamiltonian formulation of Yang-Mills theory in 2+1 dimensions in terms of gauge-invariant matrix variables. Coupling to scalar matter fields is discussed in terms of gauge-invariant fields. We analyze how the…

High Energy Physics - Theory · Physics 2008-11-26 Abhishek Agarwal , Dimitra Karabali , V. P. Nair

Pure lattice SU(2) Yang-Mills theory in five dimensions is considered, where an extra dimension is compactified on a circle. Monte-Carlo simulations indicate that the theory possesses a continuum limit with a non-vanishing string tension if…

High Energy Physics - Phenomenology · Physics 2010-11-19 Shinji Ejiri , Jisuke Kubo , Michika Murata

Evidence from the lattice suggests that formation of a flux tube between a $q\bar{q}$ pair in the QCD vacuum leads to quark confinement. For large separations between the quarks, it is conjectured that the flux tube has a behaviour similar…

High Energy Physics - Lattice · Physics 2009-11-23 Bastian B. Brandt , Pushan Majumdar

We perform a detailed study of the adjoint static potential in the pseudoparticle approach, which is a model for SU(2) Yang-Mills theory. We find agreement with the Casimir scaling hypothesis and there is clear evidence for string breaking.…

High Energy Physics - Phenomenology · Physics 2008-11-12 Christian Szasz , Marc Wagner

The spatial distribution of the action and energy in the colour fields of flux-tubes is studied in lattice SU(2) field theory for static quarks at separations up to 1 fm at beta=2.4, 2.5. The ground and excited states of the colour fields…

High Energy Physics - Lattice · Physics 2008-11-26 P. Pennanen , A. M. Green , C. Michael

We consider certain vacua of four-dimensional SU(N) gauge theory with the same field content as the N=4 supersymmetric Yang-Mills theory, resulting from potentials which break the N=4 supersymmetry as well as its global SO(6) symmetry down…

High Energy Physics - Theory · Physics 2015-05-14 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

We consider a U(2) Yang-Mills theory on M x S_F^2 where M is an arbitrary noncommutative manifold and S_F^2 is a fuzzy sphere spontaneously generated from a noncommutative U(N) Yang-Mills theory on M, coupled to a triplet of scalars in the…

High Energy Physics - Theory · Physics 2010-11-19 Seckin Kurkcuoglu

We perform a high precision measurement of the spectrum of the QCD flux tube in three-dimensional $\SU(2)$ gauge theory at multiple lattice spacings. We compare the results at large $q\bar{q}$ separations $R$ to the spectrum predicted by…

High Energy Physics - Lattice · Physics 2022-02-18 Bastian B. Brandt

In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

High Energy Physics - Lattice · Physics 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino