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Through a finite size renormalization group technique we calculate the running coupling constant for quenched SU(2) with a few percent error over a range of energy varying by a factor thirty. The definition is based on ratio of correlations…

High Energy Physics - Lattice · Physics 2009-10-22 G. M. de Divitiis , R. Frezzotti , M. Guagnelli , R. Petronzio

In the vicinity of the deconfinement transition the behaviour of the interquark potential can be precisely predicted using the Effective String Theory (EST). If the transition is continuous we can combine EST results with a conformal…

High Energy Physics - Lattice · Physics 2022-09-01 F. Caristo , M. Caselle , N. Magnoli , A. Nada , M. Panero , A. Smecca

We study the Polyakov loop and the correlator of two Polyakov loops at finite temperature in the weak-coupling regime. We calculate the Polyakov loop at order g^4. The calculation of the correlator of two Polyakov loops is performed at…

High Energy Physics - Phenomenology · Physics 2010-10-27 Nora Brambilla , Jacopo Ghiglieri , Peter Petreczky , Antonio Vairo

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach to Yang--Mills theory. Compactifying one spatial dimension and using a background gauge fixing this potential is obtained by…

High Energy Physics - Theory · Physics 2013-01-14 Hugo Reinhardt , Jan Heffner

Adding separate chemical potentials lambda and gamma for Z2 monopoles and vortices respectively in the Villain form of the mixed fundamental-adjoint action for the SU(2) lattice gauge theory, we investigate their role in the interplay…

High Energy Physics - Lattice · Physics 2009-10-31 Saumen Datta , R. V. Gavai

We present results for the renormalized Polyakov loop in the three lowest irreducible representations of SU(2) gauge theory at finite temperature. We will discuss their scaling behavior near $T_c$ and test Casimir scaling in the deconfined…

High Energy Physics - Lattice · Physics 2010-01-21 Kay Huebner , Claudio Pica

I give a brief review of the Polyakov Loops Model and tests thereof. I concentrate especially on how in a pure SU(N) gauge theory, Polyakov loops with Z(N) charges two and three affect the effective potential for charge-one loops.

High Energy Physics - Phenomenology · Physics 2009-11-07 Robert D. Pisarski

We study the U(2) lattice gauge theory in the pure gauge sector using the simplest action, with determinant and fundamental terms, having the naive continuum limit of SU(2)$\times$U(1). We determine part of the phase diagram of the model…

High Energy Physics - Lattice · Physics 2009-09-25 Claude Roiesnel

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of…

High Energy Physics - Lattice · Physics 2009-02-18 Issaku Kanamori , Hiroshi Suzuki

We study the two-point correlator of a modified Confined-Coulomb transition order parameter in four dimensional compact U(1) lattice gauge theory with Wilson action. Its long distance behavior in the confined phase turns out to be governed…

High Energy Physics - Lattice · Physics 2009-11-11 Luca Tagliacozzo

We discuss a new lattice implementation of the linear covariant gauge, recently introduced in [1]. In particular, we present details of the numerical procedure for fixing the gauge. We also report on preliminary results for the transverse…

High Energy Physics - Lattice · Physics 2011-07-14 Attilio Cucchieri , Tereza Mendes , Elton M. da S. Santos

We present a precision determination of the critical coupling beta_c for the deconfinement transition in pure SU(2) gauge theory in 2+1 dimensions. This is possible from universality, by intersecting the center vortex free energy as a…

High Energy Physics - Lattice · Physics 2009-11-16 Sam Edwards , Lorenz von Smekal

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

We describe an application of the linear $\de$-expansion to the calculation of correlation functions in SU(2)-Higgs lattice gauge theory. A significant advantage of the technique is that an infinite volume lattice may be used, allowing the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , H. F. Jones , A. Ritz

The dually transformed path integral of four-dimensional U(1) lattice gauge theory is used for the calculation of expectation values in the presence of external charges. Applying the dual simulation to flux tubes for charge distances up to…

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

We propose a general formulation of simplicial lattice gauge theory inspired by the finite element method. Numerical tests of convergence towards continuum results are performed for several SU(2) gauge fields. Additionaly, we perform…

High Energy Physics - Lattice · Physics 2011-11-29 Tore Gunnar Halvorsen , Torquil Macdonald Sørensen

We study the behaviour of the flux tube in the reconfined phase of the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2 + 1) dimensions. In this phase the Polyakov loop has a vanishing expectation value (and center symmetry is…

High Energy Physics - Lattice · Physics 2025-01-24 Caludio Bonati , Michele Caselle , Alessio Negro , Dario Panfalone , Lorenzo Verzichelli

By dressing Polyakov lines with appropriate functionals of the gauge fields, we construct observables describing a fundamental representation static quark-antiquark pair in the singlet, adjoint and average channels of SU(N) pure gauge…

High Energy Physics - Lattice · Physics 2009-11-07 O. Philipsen

A single magnetic monopole in pure SU(2) gauge theory is simulated on the lattice and its mass is computed in the full quantum theory. The results are relevant for our proposed realization of the dual superconductor hypothesis of…

High Energy Physics - Lattice · Physics 2011-04-20 J. Smit , A. J. van der Sijs

We review some approaches to describe confinement in terms of effective (model) field theories. After a brief discussion of the dual Abelian Higgs model, we concentrate on a lattice analysis of the Faddeev-Niemi effective action conjectured…

High Energy Physics - Lattice · Physics 2009-11-07 L. Dittmann , T. Heinzl , A. Wipf