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The quantum mechanical mass of 't Hooft-Polyakov monopoles in the four-dimensional Georgi-Glashow is calculated non-perturbatively using lattice Monte Carlo simulations. This is done by imposing twisted boundary conditions that ensure there…

High Energy Physics - Lattice · Physics 2007-05-23 A. Rajantie

The mass and interactions of a quantum 't Hooft-Polyakov monopole are measured nonperturbatively using correlation functions in lattice Monte Carlo simulations. A method of measuring the form factors for interactions between the monopole…

High Energy Physics - Lattice · Physics 2012-01-12 Arttu Rajantie , David J. Weir

We present a non-perturbative formalism for measuring defect free energies (monopole mass or vortex tension) in three-dimensional SU(2)+adjoint Higgs models. Starting from twisted, translation invariant boundary conditions, we perform a…

High Energy Physics - Lattice · Physics 2009-10-31 A. C. Davis , T. W. B. Kibble , A. Rajantie , H. Shanahan

The method of quantization of magnetic monopoles based on the order-disorder duality existing between the monopole operator and the lagrangian fields is applied to the description of the quantum magnetic monopoles of `t Hooft and Polyakov…

High Energy Physics - Theory · Physics 2009-10-22 E. C. Marino , R. O. Ramos

We deal with the presence of magnetic monopoles in a non Abelian model that generalizes the standard 't~Hooft-Polyakov model in three spatial dimensions. We investigate the energy density of the static and spherically symmetric solutions to…

High Energy Physics - Theory · Physics 2018-08-08 D. Bazeia , M. A. Marques , Gonzalo J. Olmo

We perform a lattice study of the phase transition in the $\mathrm{SU}(2)$ Georgi-Glashow model in three dimensions, where the gauge symmetry is broken to $\mathrm{U}(1)$ by the Higgs mechanism and a photon-like state appears. Due to…

High Energy Physics - Lattice · Physics 2021-11-18 Lauri Niemi , Kari Rummukainen , Riikka Seppä , David Weir

We study the crossover phase transition of the SU(2) Georgi-Glashow model in three dimensions. In this model, a confining condensate of topological 't Hooft-Polyakov monopoles exists in the Higgs regime. We use lattice Monte Carlo…

High Energy Physics - Lattice · Physics 2023-03-22 Lauri Niemi , Kari Rummukainen , Riikka Seppä , David J. Weir

Magnetic monopoles are an inevitable feature of post-inflation symmetry-breaking phase transitions in grand unified theories. Analytic estimates of their density indicate that they are compatible with standard cosmology only if their mass…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 Mark Hindmarsh , Asier Lopez-Eiguren , Riikka Seppä , David J. Weir

We investigate Georgi-Glashow model in terms of a set of explicitly SO(3) gauge invariant dynamical variables. In the new description a novel compact abelian gauge invariance emerges naturally. As a consequence magnetic monopoles occur as…

High Energy Physics - Theory · Physics 2009-10-30 Adriano Di Giacomo , Manu Mathur

We study the behaviour of the monopole at finite temperature in the (2+1)-dimensional lattice gauge theory dual to the percolation model; by exploiting the correspondences to statistical systems, we possess powerful tools to evaluate the…

High Energy Physics - Lattice · Physics 2009-02-05 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

The Georgi-Glashow model equations of motion are examined by general static spherically symmetric real and complex parametrizations of gauge fields in arbitrary gauge. Their connection with the known `t Hooft-Polyakov and Julia-Zee…

High Energy Physics - Theory · Physics 2022-04-26 S. E. Korenblit , E. A. Voronova

We study the three dimensional Georgi-Glashow model (which interpolates smoothly between pure U(1) and SU(2) limits) using a constrained cooling which preserves 't Hooft-Polyakov monopoles. We find that the monopole-antimonopole…

High Energy Physics - Lattice · Physics 2009-10-30 Chulwoo Jung

The existence of a magnetic monopole, if it exists, remains elusive. Experimental searches have been carried out and are continuing in this quest. Of great uncertainty is the mass of the monopole which is model-dependent and ranging from…

High Energy Physics - Phenomenology · Physics 2021-02-03 P. Q. Hung

We investigate the phase diagram, and the nature of the phase transitions, of three-dimensional monopole-free CP(N-1) models, characterized by a global U(N) symmetry and a U(1) gauge symmetry, and the absence of monopoles. We present…

Statistical Mechanics · Physics 2020-07-01 Andrea Pelissetto , Ettore Vicari

A model of monopolium is constructed based on an electromagnetic dual formulation of Zwanziger and lattice gauge theory. To cope with the strong coupling nature of the magnetic charge, for which the monopole is confined, $ U(1) $ lattice…

High Energy Physics - Phenomenology · Physics 2016-12-30 Neil D. Barrie , Akio Sugamoto , Kimiko Yamashita

We investigate twisted C-periodic boundary conditions in SU(N) gauge field theory with an adjoint Higgs field. We show that with a suitable twist for even N one can impose a non-zero magnetic charge relative to residual U(1) gauge groups in…

High Energy Physics - Lattice · Physics 2009-10-06 S. Edwards , D. Mehta , A. Rajantie , L. von Smekal

The magnetic monopole in euclidean pure SU(2) gauge theory is investigated using a background field method on the lattice. With Monte Carlo methods we study the mass of the monopole in the full quantum theory. The monopole background under…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. Van Der Sijs

A high precision numerical analysis of the static, spherically symmetric SU(2) magnetic monopole equations is carried out. Using multi-shooting and multi-domain spectral methods, the mass of the monopole is obtained rather precisely as a…

High Energy Physics - Theory · Physics 2014-11-18 P. Forgács , N. Obadia , S. Reuillon

The monopoles play important roles in physics. In this work we discuss the new monopoles in non-Abelian gauge theories, the standard model, the Georgi-Glashow model, and QCD. The standard model has two totally different types of monopoles,…

High Energy Physics - Phenomenology · Physics 2025-12-10 Liping Zou , Pengming Zhang , Y. M. Cho

We consider a dual representation of an effective three-dimensional Polyakov loop model for the SU(3) theory at nonzero real chemical potential. This representation is free of the sign problem and can be used for numeric Monte-Carlo…

High Energy Physics - Lattice · Physics 2021-12-02 Oleg Borisenko , Volodymyr Chelnokov , Emanuele Mendicelli , Alessandro Papa
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