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Magnetic monopoles are a long-standing prediction of Grand Unified Theories, yet their efficient production in early universe phase transitions would lead to a monopole abundance that far exceeds observational limits. The standard solution…

High Energy Physics - Phenomenology · Physics 2026-02-04 Daniele Perri

We investigate topological vector potentials underlying the phases of nonlinear waves by performing Dirac's magnetic monopole theory in an extended complex plane, taking into account self-steepening effects while ignoring the usual cubic…

Pattern Formation and Solitons · Physics 2026-04-30 Yan-Hong Qin , Jin-Peng Yang , Li-Chen Zhao

We formulate general conditions under which the strong CP problem is solved by spontaneous CP violation. Quark-mass matrix elements are polynomials in the CP-breaking order parameters, engineered such that their determinant is a real…

High Energy Physics - Phenomenology · Physics 2024-08-16 Ferruccio Feruglio , Matteo Parriciatu , Alessandro Strumia , Arsenii Titov

We consider some fundamental constants from the point of view of the duality symmetry. Our analysis of duality is focused on three issues: the maximum radiated power of gravitational waves, the cosmological constant, and the magnetic…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Nieto , L. Ruiz , J. Silvas

Conventionally, the strong-$CP$ problem is assumed to be a naturalness puzzle, with the axion solution sometimes viewed as an ad hoc fix. Gravity is either ignored or taken as a threat for the global Peccei-Quinn symmetry. We explain that…

High Energy Physics - Phenomenology · Physics 2022-09-29 Gia Dvali

We prove that magnetic charge does not exist as a physical observable on the physical Hilbert space of the pure SU(2) gauge theory. The abelian magnetic monopoles seen in lattice simulations are then interpreted as artifacts of gauge…

High Energy Physics - Lattice · Physics 2009-11-07 A. Kovner , M. Lavelle , D. McMullan

The full ``classical" Dirac-Maxwell equations are considered under various simplifying assumptions. A reduction of the equations is performed in the case when the Dirac field is {\em static} and a further reduction is performed in the case…

High Energy Physics - Theory · Physics 2010-11-19 Chris Radford

The magnetic toroidal monopole, a time-reversal-odd scalar, has attracted attention through its characteristic responses, such as electric-field-induced nonreciprocal directional dichroism observed in Co$_2$SiO$_4$. However, its evaluation…

Strongly Correlated Electrons · Physics 2026-04-08 Taisei Yamanaka , Takumi Sato , Satoru Hayami

In the present work we argue that the usual assumption that magnetic currents possess the vector structure characteristic of electric currents may be the source of several difficulties in the theory of magnetic monopoles. We propose an {\it…

High Energy Physics - Theory · Physics 2007-05-23 Cardoso de Melo , M. C. Nemes , Saulo C. S. Silva

It is shown that modular invariance provides a natural explanation for the absence of monopoles when assumed to be a discrete gauge symmetry. It follows that monopoles can not be seen because it is always possible to find a suitable…

High Energy Physics - Theory · Physics 2007-05-23 F. Toppan

Introducing a radially dependent magnetic field into Newton's off-center circular orbits potential so as to preserve the $E=0$ dynamical symmetry leads to a unique choice of field that can be identified as the inclusion of a magnetic…

Mathematical Physics · Physics 2023-12-19 Dipesh Bhandari , Michael Crescimanno

We present a solution to the strong CP problem based on the identification of the theta angle with twice the CP violating phase present in the CKM quark matrix. This solution washes out all the unwanted issues stemming form the strong CP…

High Energy Physics - Phenomenology · Physics 2018-02-23 Renata Jora

The standard model has the electroweak monopole which has the magnetic charge $4\pi/e$, as a hybrid between the Dirac and 'tHooft-Polyakov monopoles. We argue that it may have new type of monopoles, in particular the neutral monopole (``the…

High Energy Physics - Phenomenology · Physics 2025-12-18 Y. M. Cho

In the standard model QCD Lagrangian, a term of CP violating gluon density is theoretically expected to have a physical coefficient $\bar{\theta}$ of the order of unity. However, the upper bound on the electric dipole moment of neutron…

High Energy Physics - Phenomenology · Physics 2023-07-12 Pei-Hong Gu

Magnetic monopoles have been a subject of interest since Dirac established the relation between the existence of monopoles and charge quantization. The intense experimental search carried thus far has not met with success. The Large Hadron…

High Energy Physics - Phenomenology · Physics 2012-05-29 Luis N. Epele , Huner Fanchiotti , Carlos A. García Canal , Vasiliki A. Mitsou , Vicente Vento

The existence in the physical QCD vacuum of nonzero gluon condensates, such as $<g^2F^2>$, requires dominance of gluon fields with finite mean action density. This naturally allows any real number value for the unit ``topological charge''…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. C. Kalloniatis , S. N. Nedelko

We study the full Maxwell-Dirac equations: Dirac field with minimally coupled electromagnetic field and Maxwell field with Dirac current as source. Our particular interest is the static case in which the Dirac current is purely time-like --…

Mathematical Physics · Physics 2008-11-26 Chris Radford , Hilary Booth

We develop a grand unified theory of matter and forces based on the gauge symmetry $SU(5)_L\times SU(5)_R$ with parity interchanging the two factor groups. Our main motivation for such a construction is to realize a minimal GUT embedding of…

High Energy Physics - Phenomenology · Physics 2024-04-17 K. S. Babu , Rabindra N. Mohapatra , Anil Thapa

The unsuppressed CP violation in QCD is a problem in the standard model. If we have some mechanism to guarantee real determinants of the quark mass matrices, the vanishing physical vacuum angle $\bar \theta$ indicates the CP invariance at…

High Energy Physics - Phenomenology · Physics 2025-10-03 Tatsuo Kobayashi , Hajime Otsuka , Morimitsu Tanimoto , Tsutomu T. Yanagida

We obtain solutions of Einstein's equations describing gravitational field outside a noncanonical global monopole with cosmological constant. In particular, we consider two models of k-monopoles: the Dirac-Born-Infeld (DBI) and the…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Ilham Prasetyo , Handhika S. Ramadhan