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The Abelian Chern-Simons Gauge Field Theory in 2+1 dimensions and its relation with holomorphic Burgers' Hierarchy is considered. It is shown that the relation between complex potential and the complex gauge field as in incompressible and…

High Energy Physics - Theory · Physics 2008-11-26 Oktay K. Pashaev , Zeynep Nilhan Gurkan

We investigate probe limit vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS Schwarzschild black hole metric with the addition of an axionic coupling to the Maxwell field. We…

High Energy Physics - Theory · Physics 2011-01-05 Gianni Tallarita , Steven Thomas

The U(1) gauge-Higgs model with two flavors of opposite charge and a chemical potential is mapped exactly to a dual representation where matter fields correspond to loops of flux and the gauge fields are represented by surfaces. The complex…

High Energy Physics - Lattice · Physics 2013-10-30 Ydalia Delgado Mercado , Christof Gattringer , Alexander Schmidt

We study a spontaneously broken SU(2) Chern-Simons-Higgs model coupled though a Higgs portal to an uncharged triplet scalar with a vacuum state competing with the Higgs one. We find vortex-like solutions to the field equations in different…

High Energy Physics - Theory · Physics 2018-06-21 J. M. Pérez Ipiña , F. A. Schaposnik , G. Tallarita

An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

High Energy Physics - Lattice · Physics 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We consider 1+1 dimensional SU(N) gauge theory coupled to a multiplet of massive Dirac fermions transforming in the adjoint representation of the gauge group. The only global symmetry of this theory is a U(1) associated with the conserved…

High Energy Physics - Theory · Physics 2012-09-18 Rajesh Gopakumar , Akikazu Hashimoto , Igor R. Klebanov , Subir Sachdev , Kareljan Schoutens

The possibility of dual equivalence between the self-dual and the Maxwell-Chern-Simons (MCS) models when the latter is coupled to dynamical, U(1) fermionic charged matter is examined. The proper coupling in the self-dual model is then…

High Energy Physics - Theory · Physics 2009-11-11 M. S. Guimarães , T. Mariz , R. Menezes , C. Wotzasek

It is shown that by introducing as dynamical variables in the formulation of gauge theories the frame vectors (or vielbeins) in internal symmetry space, in addition to the standard gauge boson and matter fermion fields, one obtains: (i) for…

High Energy Physics - Phenomenology · Physics 2015-06-03 H. M. Chan , S. T. Tsou

We study the $2+1$ dimensional boson-fermion duality in the presence of background curvature and electromagnetic fields. The main players are, on the one hand, a massive complex $|\phi|^4$ scalar field coupled to a $U(1)$…

Strongly Correlated Electrons · Physics 2018-12-19 Yago Ferreiros , Eduardo Fradkin

We present a model of inflation based on the interaction between a homogeneous and isotropic configuration of a U(1) gauge field and fermionic charge density $\mathcal{J}_{0}$. The regulated fermionic charge density is generated from a…

High Energy Physics - Theory · Physics 2013-05-28 Stephon Alexander , Antonino Marciano , David Spergel

The two-dimensional d-p model (or extended Hubbard model) on a square lattice is investigated for fermion pairing by a slave boson method. The inter-site d-fermion interaction is introduced additionally. The momentum space counterpart of…

Superconductivity · Physics 2008-03-06 Partha Goswami

The axionic inflaton with the Chern-Simons coupling may generate U(1) gauge fields and charged particles simultaneously. In order to incorporate the backreaction from the charged particles on the gauge fields, we develop a procedure to…

High Energy Physics - Phenomenology · Physics 2022-09-14 Tomohiro Fujita , Jun'ya Kume , Kyohei Mukaida , Yuichiro Tada

The increasing observational pressure on the standard cosmological model motivates analyses going beyond the paradigm of the collision-less cold dark matter (DM). Since the only clear evidence for the existence of DM is based on…

High Energy Physics - Phenomenology · Physics 2022-05-25 Philippe Brax , Carsten van de Bruck , Sebastian Trojanowski

Quantum Link Models with dynamical matter coupled to spin-$\frac{1}{2} \ \rm U(1)$ gauge fields in $d=2+1 $ and $3+1$ can potentially give rise to the Coulomb phase expected in quantum electrodynamics (QED) and other confining phases. Using…

High Energy Physics - Lattice · Physics 2026-02-27 Pallabi Dey , Debasish Banerjee , Emilie Huffman

We study the possible mixings between gauge vector fields and scalar fields through their self-energies, arising in models with two Higgs doublets. We derive the relevant set of Schwinger-Dyson equations and the Ward identities that compel…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michel Capdequi Peyranere

A solution of the vortex type is given in a six-dimensional $SU(2)\times U(1)$ pure gauge theory coupled to Einstein gravity in a compactified background geometry. We construct the solution of an effective abelian Higgs model in terms of…

High Energy Physics - Theory · Physics 2019-05-02 Atsushi Nakamula , Satoru Hirenzaki , Kiyoshi Shiraishi

We find the static vortex solutions of the model of Maxwell-Chern-Simons gauge field coupled to a (2+1)-dimensional four-fermion theory. Especially, we introduce two matter currents coupled to the gauge field minimally: the electromagnetic…

High Energy Physics - Theory · Physics 2014-11-18 Seungjoon Hyun , Junsoo Shin , Jae Hyung Yee , Hyuk-jae Lee

The strongly coupled lattice gauge models with confined fermion and scalar matter fields, which in a certain phase break dynamically a global chiral symmetry, are reconsidered from the point of view of the existence of heavy fermions. If…

High Energy Physics - Lattice · Physics 2009-10-28 Christoph Frick , Jiri Jersak

In this article it is studied, at variational level, a mathematical setup given by the Landau-Ginzburg Chern-Simons model for anyons in 2+1-dimensions within the framework of dimensional reduced Ue(1)xUg(1) extended electromagnetism with…

High Energy Physics - Theory · Physics 2012-01-31 P. Castelo Ferreira

Consistent interactions that can be added to a two-dimensional, free abelian gauge theory comprising a special class of BF-type models and a collection of vector fields are constructed from the deformation of the solution to the master…

High Energy Physics - Theory · Physics 2007-05-23 E. M. Cioroianu , S. C. Sararu
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