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We present non-perturbative results of the Casimir potential in non-abelian gauge theories in (2+1)D and (3+1)D for SU(2) and SU(3) in the confined and deconfined phases. For the first time, geometries beyond parallel plates in (3+1)D…

High Energy Physics - Lattice · Physics 2025-05-07 Blessed Arthur Ngwenya

We study the continuum limit of the string-like behaviour of flux tubes formed between static quarks and anti-quarks in three dimensional SU(2) lattice gauge theory. We compare our simulation data with the predictions of both effective…

High Energy Physics - Lattice · Physics 2008-11-26 N. D. Hari Dass , Pushan Majumdar

We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ \beta =2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $\beta =2.85.$ From a…

High Energy Physics - Lattice · Physics 2011-02-19 The UKQCD Collaboration , S. P. Booth , A. Hulsebos , A. C. Irving , A. McKerrell , C. Michael , P. S. Spencer , P. W. Stephenson

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

Following a recent suggestion by Nielsen, Rugh, and Rugh, we study the energy scaling of the maximal Lyapunov exponent of classical Hamiltonian SU(2) lattice gauge theory. It is shown that the conjectured scaling behavior $\lambda_0\sim…

chao-dyn · Physics 2008-02-03 Berndt Müller

After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the so called monopole field and the modified nonabelian field with monopoles removed. We then calculate respective static…

High Energy Physics - Lattice · Physics 2009-11-11 V. G. Bornyakov , M. I. Polikarpov , G. Schierholz , T. Suzuki , S. N. Syritsyn

We study the continuum limit of the string-like behaviour of flux tubes formed between static quarks and anti-quarks in three dimensional SU(2) lattice gauge theory. We compare our simulation data with the predictions of both effective…

High Energy Physics - Lattice · Physics 2008-11-26 N. D. Hari Dass , Pushan Majumdar

We investigate the static interquark potential for the three-quark system in SU(3) lattice gauge theory at zero temperature by using Monte Carlo simulations. We extract the potential from the correlation function of the three Polyakov…

High Energy Physics - Lattice · Physics 2017-06-07 Yoshiaki Koma , Miho Koma

Flux-tubes in different representations of SU(2) and U(1) lattice gauge theories in three dimensions are measured. Wilson loops generate heavy ``quark-antiquark'' pairs in fundamental ($j=1/2$), adjoint ($j=1$), and quartet ($j=3/2$)…

High Energy Physics - Lattice · Physics 2009-10-22 Howard D. Trottier , R. M. Woloshyn

We study SU(3) gauge theory on small lattices in the minimal (qutrit) electric field truncation retaining only the ${\bf 1}, {\bf 3}, {\bf \overline{3}}$ representations for the link variables. Explicit expressions are given for the…

High Energy Physics - Lattice · Physics 2026-01-16 Vincent Chen , Berndt Müller , Xiaojun Yao

We report on calculations of the heavy quark potential in SU(3) lattice gauge theory. Full SU(3) results are compared to three cases which involve gauge-fixing and projection. All of these start from the maximal abelian gauge (MAG), in its…

High Energy Physics - Lattice · Physics 2015-06-25 John D. Stack , William W. Tucker , Roy J. Wensley

In this paper I review shortly potentials obtained for SU(2), SU(3) and SU(4) static sources from fat-center-vortices model. Results confirm the confinement of quarks in all three gauge groups. Proportionality of string tensions with flux…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sedigheh Deldar

We report about an ongoing lattice field theory project concerned with the investigation of heavy hybrid mesons. In particular we discuss our computation of the structure of hybrid static potential flux tubes in SU(2) lattice Yang-Mills…

High Energy Physics - Lattice · Physics 2018-11-02 Lasse Mueller , Owe Philipsen , Christian Reisinger , Marc Wagner

The static gauge potential between heavy sources is computed from a recently introduced non-critical bosonic string background. When the sources are located at the infinity of the holographic coordinate, the linear dilaton behavior is…

High Energy Physics - Theory · Physics 2010-02-03 Enrique Alvarez , Juan Jose Manjarin

We argue that asymptotically linear static potential is built in into the common procedure of extracting it from lattice Wilson loop measurements. To illustrate the point, we extract the potential by the standard lattice method in a model…

High Energy Physics - Lattice · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov

We analyze SU(2) gauge theory in a constant chromomagnetic field in three dimensions. Our analysis instead of supporting the existence of a non-trivial minimum in the effective potential, corroborates the evidence of the unstable modes on…

High Energy Physics - Lattice · Physics 2007-05-23 P. Cea , L. Cosmai

We investigate singly and doubly charged flux tubes in U(1) lattice gauge theory. By simulating the dually transformed path integral we are able to consider large flux tube lengths, low temperatures, and multiply charged systems without…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

We present results for the heavy quark potential computed in SU(3) from magnetic monopoles and from center vortices. The monopoles are identified after fixing SU(3) lattice configurations to the maximal abelian gauge. The center vortices…

High Energy Physics - Lattice · Physics 2009-10-31 Roy Wensley , John Stack

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 study SU(2) Lattice Gauge Theory with dynamical fermions at non-zero chemical potential $\mu$. The symmetries special to SU(2) for staggered fermions on the lattice are discussed explicitly and their relevance to spectroscopy and…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , John B. Kogut , Maria-Paola Lombardo , Susan E. Morrison