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We investigate the interplay between T-duality and (2+1)- dimensional electrodynamics, revealing a relationship between short and large length scales of the gauge potential. Our findings demonstrate that the electrostatic potential energy…

High Energy Physics - Theory · Physics 2025-12-25 Patricio Gaete , Piero Nicolini

The three-dimensional abelian Higgs model has been argued to be dual to a scalar field theory with a global U(1) symmetry. We show that this duality, together with the scaling and universality hypotheses, implies a scaling law for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. T. Son

A new representation of the scalar electrodynamics is discovered which gives a more redundant description of electromagnetic theory and suitable to construct an appropriate matter action which contains two global symmetries . The symmetries…

High Energy Physics - Theory · Physics 2022-08-23 SK moinuddin , Pradip Mukherjee

We describe a novel duality symmetry of Phi(4)-theory defined on noncommutative Euclidean space and with noncommuting momentum coordinates. This duality acts on the fields by Fourier transformation and scaling. It is an extension, to…

High Energy Physics - Theory · Physics 2008-11-26 Edwin Langmann , Richard J. Szabo

Compact nonlocal Abelian gauge theory in (2+1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N_F limit of self-dual…

High Energy Physics - Theory · Physics 2020-03-18 Francesco Andreucci , Andrea Cappelli , Lorenzo Maffi

There has recently been a surge of new ideas and results for 2+1 dimensional gauge theories. We consider a recently proposed duality for 2+1 dimensional QCD, which predicts a symmetry-breaking phase. Using the F-theorem, we find bounds on…

High Energy Physics - Theory · Physics 2018-08-29 Adar Sharon

The universal behaviour of superconductors near the phase transition is described by the three-dimensional field theory of scalar quantum electrodynamics. We approximately solve the model with the help of non-perturbative flow equations. A…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Bergerhoff , F. Freire , D. Litim , S. Lola , C. Wetterich

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

High Energy Physics - Theory · Physics 2019-03-22 Dongmin Gang , Masahito Yamazaki

We study a phase transition in a 3D lattice gauge theory, a "coarse-grained" version of a classical dimer model. Duality arguments indicate that the dimer lattice theory should be dual to a XY model coupled to a gauge field with geometric…

Strongly Correlated Electrons · Physics 2009-11-13 D. Charrier , F. Alet , P. Pujol

The field theoretical approach to duality in the superconducting phase transition is reviewed. Emphasis is given to the scaling behavior, and recent results are discussed.

Superconductivity · Physics 2016-11-23 F. S. Nogueira

We study the three dimensional SU(2)-symmetric noncompact CP1 model, with two charged matter fields coupled minimally to a noncompact Abelian gauge-field. The phase diagram and the nature of the phase transitions in this model have…

Statistical Mechanics · Physics 2013-07-26 Egil V. Herland , Troels A. Bojesen , Egor Babaev , Asle Sudbø

The superselection sectors of two classes of scalar bilocal quantum fields in D>=4 dimensions are explicitly determined by working out the constraints imposed by unitarity. The resulting classification in terms of the dual of the respective…

Mathematical Physics · Physics 2008-11-26 Bojko Bakalov , Nikolay Nikolov , Karl-Henning Rehren , Ivan Todorov

We show that S-duality in four dimensional non-supersymmetric abelian gauge theories can be formulated as a canonical transformation in the phase space of the theory. This transformation is the usual interchange between electric and…

High Energy Physics - Theory · Physics 2009-10-28 Yolanda Lozano

We explore the phenomenology of an $SU(2)$-singlet doubly charged scalar at the high and low energy frontier. Such a particle is predicted in different new physics models, like left-right symmetric models or the Zee-Babu model. Nonetheless,…

High Energy Physics - Phenomenology · Physics 2019-03-07 Andreas Crivellin , Margherita Ghezzi , Luca Panizzi , Giovanni Marco Pruna , Adrian Signer

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of…

High Energy Physics - Theory · Physics 2017-08-16 William Donnelly , Ben Michel , Aron Wall

Abelian duality on the closed three-dimensional Riemannian manifold M is discussed. Partition functions for the ordinary U(1) gauge theory and a circle-valued scalar field theory on M are explicitly calculated and compared. It is shown that…

High Energy Physics - Theory · Physics 2009-11-07 Boguslaw Broda , Grzegorz Duniec

We analyze the Coulomb phase of theories of $N=2$ SQCD with $SU(N_c)$ gauge groups which are conjectured to have exact electric-magnetic duality. We discuss the duality transformation of the particle spectrum, emphasizing the differences…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Shimon Yankielowicz

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

We investigate self-dualities in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. The electric and magnetic theories share the same gauge group. The examples include $SU(2N)$, $SO(7)$ and $SO(8)$ with various matter…

High Energy Physics - Theory · Physics 2019-05-01 Keita Nii

We investigate what can be said about the interaction of scalar fields with Abelian gauge fields during a quasi-de Sitter phase of expansion and under the assumption that the electric and the magnetic susceptibilities do not coincide. The…

High Energy Physics - Theory · Physics 2013-11-07 Massimo Giovannini
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