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We study the large N limit in the presence of magnetic monopoles in the Yang-Mills/Higgs model in three dimensions. The physics in the limit depends strongly on the distribution of eigenvalues of the Higgs field in the vacuum, and we…

High Energy Physics - Theory · Physics 2009-09-25 F. Nesti

For monopoles with nonvanishing Higgs potential it is shown that with respect to "Brandt-Neri-Coleman type" variations (a) the stability problem reduces to that of a pure gauge theory on the two-sphere (b) each topological sector admits…

High Energy Physics - Theory · Physics 2009-09-21 P. A. Horvathy , L. O'Raifeartaigh , J. H. Rawnsley

Using mainly analytical arguments, we derive the exact relation $\eta_{max}=\sqrt{3/8\pi}$ for the maximal vacuum value of the Higgs field for static gravitational global monopoles. For this value, the global monopole bifurcates with the de…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dieter Maison , Steven L. Liebling

We review classical monopole solutions of the SU(2) Yang-Mills-Higgs theory. The first part is a pedagogical introduction into to the basic features of the celebrated 't Hooft - Polyakov monopole. In the second part we describe new classes…

High Energy Physics - Theory · Physics 2017-08-23 Yasha Shnir

As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomol'nyi equations. We construct numerically such a…

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , Jutta Kunz

We investigate some aspects of Bogomolny-Prasad-Sommerfield monopole solutions in the Yang-Mills-Higgs theory with exceptional gauge group $G_2$ spontaneously broken to $U(1)\times U(1)$. Corresponding homotopy group is…

High Energy Physics - Theory · Physics 2015-09-02 Ya Shnir , G. Zhilin

Regular magnetic monopoles in the non-Abelian Born-Infeld-Higgs theory are known to exist in the region of the field strength parameter $\beta>\beta_{{\rm cr}}$, bounded from below. Beyond this region, only pointlike (embedded abelian)…

High Energy Physics - Theory · Physics 2009-11-07 V. V. Dyadichev , D. V. Gal'tsov

We consider a Georgi-Glashow model conformally coupled to gravity. The conformally invariant action includes a triplet of scalar fields and SO(3) non-Abelian gauge fields. However, the usual mass term $\mu^2 \phi^2$ is forbidden by the…

General Relativity and Quantum Cosmology · Physics 2009-06-19 Ariel Edery , Luca Fabbri , M. B. Paranjape

We construct multimonopole solutions containing N-1 distinct fundamental monopoles in SU(N) gauge theory. When the gauge symmetry is spontaneously broken to U(1)^{N-1}, the monopoles are all massive, and we show that the fields can be…

High Energy Physics - Theory · Physics 2016-08-25 Erick J. Weinberg , Piljin Yi

In gravitational Higgs mechanism graviton components acquire mass via spontaneous diffeomorphism breaking by scalar vacuum expectation values. We point out that in the massless limit the resulting theory is not Einstein-Hilbert gravity…

High Energy Physics - Theory · Physics 2008-11-26 Zurab Kakushadze

An $SO(3)$-gauged Higgs model on $\mathbb{R}^3$ is proposed that, like the Abelian Higgs model on $\mathbb{R}^2$, features both attractive and repulsive phases, though unlike the latter its solutions do not saturate the topological lower…

High Energy Physics - Theory · Physics 2026-05-20 Francisco Navarro-Lérida , Eugen Radu , D. H. Tchrakian

We consider the gravitational properties of a global monopole on the basis of the simplest Higgs scalar triplet model in general relativity. We begin with establishing some common features of hedgehog-type solutions with a regular center,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill A. Bronnikov , Boris E. Meierovich , Evgeny R. Podolyak

The behaviour of magnetic monopole solutions of the Einstein-Yang-Mills-Higgs equations subject to linear spherically symmetric perturbations is studied. Using Jacobi's criterion some of the monopoles are shown to be unstable. Furthermore…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Helia Hollmann

A static configuration of point charges held together by the gravitational attraction is known to be given by the Majumdar-Papapetrou solution in the Einstein-Maxwell theory. We consider a generalization of this solution to non-Abelian…

High Energy Physics - Theory · Physics 2009-12-30 B. S. Balakrishna , Kameshwar C. Wali

We would like to show the existence of finite energy SU(2) Yang-Mills-Higgs particles of one-half topological charge. The magnetic fields of these solutions at spatial infinity correspond to the magnetic field of a positive one-half…

High Energy Physics - Theory · Physics 2012-08-08 Rosy Teh , Ban-Loong Ng , Khai-Ming Wong

We study different aspects of monopoles in the Higgs phase which are confined by (non-abelian) vortices in \cal{N}=2 SQCD with gauge group U(N) and N_f >= N massive flavors, including generalized FI-terms. We compute in particular the…

High Energy Physics - Theory · Physics 2015-05-28 David Burke , Robert Wimmer

According to previous work on magnetic monopoles, static regular solutions are nonexistent if the vacuum expectation value of the Higgs field $\eta$ is larger than a critical value $\eta_{{\rm cr}}$, which is of the order of the Planck…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Nobuyuki Sakai

We construct dyons, and electrically charged monopole-antimonopole pairs and vortex rings in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are stationary, axially symmetric and asymptotically flat. The dyons with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Burkhard Kleihaus , Jutta Kunz , Ulrike Neemann

Gravitating t'Hooft-Polyakov magnetic monopoles can be constructed when coupling the Georgi-Glashow model to gravitation. For a given value of the Higgs boson mass, these gravitating solitons exist up to a critical value of the ratio of the…

High Energy Physics - Theory · Physics 2009-10-31 Y. Brihaye , F. Grard , S. Hoorelbeke

Higgs inflation has received a remarkable attention in the last few years due to its simplicity and predictive power. The key point of this model is the nonminimal coupling to gravity in unitary gauge. As such, this theory is in fact a…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Sandrine Schlogel , Massimiliano Rinaldi , Francois Staelens , Andre Fuzfa