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In 4D compact U(1) lattice gauge theory with a monopole term added to the Wilson action we first reveal some properties of a third phase region at negative $\beta$. Then at some larger values of the monopole coupling $\lambda$ by a…

High Energy Physics - Lattice · Physics 2009-10-31 G. Damm , W. Kerler

We determine the interaction potential of a solitonic dipole in the singlet state, modeled as an SU(2) field, using improved lattice simulations of two stationary solitons at varying separations. The potential is extracted from the energy…

High Energy Physics - Lattice · Physics 2026-04-15 Manfried Faber , Rudolf Golubich

The compact Abelian model in three space--time dimensions is studied in the presence of external electromagnetic fields at finite temperatures. We show that the deconfinement phase transition is independent on the strength of the external…

High Energy Physics - Lattice · Physics 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We investigate a model of a U(1)-Higgs theory on the lattice with compact gauge fields but completely suppressed (elementary) monopoles. We study the model at two values of the quartic Higgs self-coupling, a strong coupling, $\lambda =…

High Energy Physics - Lattice · Physics 2007-05-23 Balasubramanian Krishnan , U. M. Heller , V. K. Mitrjushkin , M. Mueller-Preussker

We investigate the influence of the granularity of the lattice on the potential between monopoles. Using the flux definition of monopoles we introduce their centers of mass and are able to realize continuous shifts of the monopole…

High Energy Physics - Lattice · Physics 2016-09-01 H. Bozkaya , M. Faber , P. Koppensteiner , M. Pitschmann

It is shown that permanent confinement in three-dimensional compact U(1) gauge theory can be destroyed by matter fields in a deconfinement transition. This is a consequence of a non-trivial infrared fixed point caused by matter, and an…

High Energy Physics - Theory · Physics 2011-07-19 Hagen Kleinert , Flavio S. Nogueira , Asle Sudbo

A potential between mesons is extracted from 4-point functions within lattice gauge theory taking 2+1 dimensional QED as an example. This theory possesses confinement and dynamical fermions. The resulting meson-meson potential has a…

High Energy Physics - Lattice · Physics 2009-10-28 H. R. Fiebig , O. Linsuain , H. Markum , K. Rabitsch

In addition to the gauge charges, a new charge degree of freedom is found in the deconfined phase in the lattice Ising gauge theory. While applying to the hydrogen-bonded ferroelectrics, the new charge is essentially the electric charge,…

Strongly Correlated Electrons · Physics 2018-07-04 Bo-Jie Huang , Chyh-Hong Chern

The role of monopoles in the confining behavior of compact lattice $QED_3$ is studied using an adiabatic cooling method. Monopole-antimonopole pairs with large separation suvive cooling and the presence or absence of such plasma monopoles…

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

In this paper, we study a 3D compact U(1) lattice gauge theory with a variety of nonlocal interactions that simulates the effects of gapless/gapful matter fields. This theory is quite important to investigate the phase structures of QED$_3$…

Strongly Correlated Electrons · Physics 2010-04-05 Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara , Shunsuke Takashima

The phase diagram of SO(3) lattice gauge theory at finite temperature is investigated by Monte Carlo techniques with a view i) to understand the relationship between the deconfinement phase transitions in the SU(2) and SO(3) lattice gauge…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai

We study a harmonic triangular lattice, which relaxes in the presence of a weak, short-wavelength periodic potential. Monte Carlo simulations reveal that the elastic lattice has only short-ranged positional correlations, despite the absence…

Condensed Matter · Physics 2007-05-23 Ronald Dickman , Eugene M. Chudnovsky

We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit…

Probability · Mathematics 2022-01-05 Diana Conache , Markus Heydenreich , Franz Merkl , Silke W. W. Rolles

In the pure U(1) lattice gauge theory with the Villain action we find that the monopole mass in the Coulomb phase and the monopole condensate in the confinement phase scale according to simple power laws. This holds outside the coupling…

High Energy Physics - Lattice · Physics 2015-06-25 J. Jersak , T. Neuhaus , H. Pfeiffer

Finite temperature compact electrodynamics in (2+1) dimensions is studied in the presence of external electromagnetic fields. The deconfinement temperature is found to be insensitive to the external fields. This result corroborates our…

High Energy Physics - Lattice · Physics 2015-06-25 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

Static quark-anti-quark potential encodes important information on the chromodynamical interaction between color charges, and recent lattice results show its very nontrivial behavior near the deconfinement temperature $T_c$. In this paper…

High Energy Physics - Phenomenology · Physics 2010-12-13 Jinfeng Liao , Edward Shuryak

Here we compute the static potential in scalar $QED_3$ at leading order in $1/N_f$. We show that the addition of a non-minimal coupling of Pauli-type ($\eps j^{\mu}\partial^{\nu}A^{\alpha}$), although it breaks parity, it does not change…

High Energy Physics - Theory · Physics 2009-11-11 D. Dalmazi , Elias L. Mendonca

The dynamics of an electric charge $e$ in presence of a fixed monopole pair $\pm g$ is considered. Depending on the ratio of the angular momentum to $e\,g/c$, the effective potential may consist a minimum valley between the poles or a…

General Physics · Physics 2018-01-31 N. Barghi-Janyar , A. H. Fatollahi

From continuum studies it is known that the Coulomb string tension $\sigma_C$ gives an upper bound for the physical (Wilson) string tension $\sigma_W$ [D. Zwanziger, Phys. Rev. Lett. 90, 102001 (2003)]. How does however such relationship…

High Energy Physics - Lattice · Physics 2015-09-02 G. Burgio , M. Quandt , H. Reinhardt , H. Vogt

We argue that the lattice data of the static potential can be explained by perturbation theory up to energies of the order of 1 GeV once renormalons effects are taken into account

High Energy Physics - Phenomenology · Physics 2009-11-10 Antonio Pineda