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The vacuum dynamics of SU(2) lattice gauge theory is studied by means of a gauge-invariant effective action defined using the lattice Schr\"odinger functional. Numerical simulations are performed both at zero and finite temperature. The…

High Energy Physics - Lattice · Physics 2009-10-31 Paolo Cea , Leonardo Cosmai

Halpern's field strength's formulation of gauge theories is applied to effective QED_3, namely, a gauge invariant theory for an Abelian gauge field $A_\mu$ with non-localities and self-interactions. The resulting description in terms of the…

High Energy Physics - Theory · Physics 2008-02-03 C. D. Fosco

The confinement of electromagnetic field is studied in axial symmetrical, warped, 6D World Brane, using a recently proposed topological abelian string vortex solution as background. It was found, that the massless gauge field fluctuations…

High Energy Physics - Theory · Physics 2015-03-13 Rafael S. Torrealba

Decomposition of SU(2) gauge field into the monopole and monopoleless components is studied in the Maximal Abelian gauge using Monte-Carlo simulations in lattice SU(2) gluodynamics as well as in two-color QCD with both zero and nonzero…

High Energy Physics - Lattice · Physics 2022-02-16 V. Bornyakov , I. Kudrov , R. Rogalyov

We demonstrate that quantum field excitations can generate packaged entangled states, in which all internal quantum numbers (IQNs) (e.g., electric charge, flavor, and color) are inseparably entangled and constrained to irreducible…

Quantum Physics · Physics 2025-03-11 Rongchao Ma

Regular classical solutions of pure SU(3) gauge theories, in Minkowsky spacetime, are computed in the Landau gauge. The classical fields have an intrinsic energy scale and produce quark confinement if interpreted in the sense of a…

High Energy Physics - Theory · Physics 2007-05-23 O. Oliveira , R. A. Coimbra

We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long…

High Energy Physics - Theory · Physics 2009-07-09 N. Seiberg

In this paper we study 3d $\mathcal{N}=2$ $SU(N)$ confining gauge theories with a matter field in the rank-two index symmetric representation. The models found here are obtained from the application of the duplication formula for hyperbolic…

High Energy Physics - Theory · Physics 2025-05-01 Antonio Amariti , Fabio Mantegazza

We show how to simulate U(1) gauge fields coupled to three-dimensional quantum gravity and then examine the phase diagram of this system. Quenched mean field theory suggests that a transition separates confined and deconfined phases (for…

High Energy Physics - Lattice · Physics 2009-10-22 Ray L. Renken , Simon M. Catterall , John B. Kogut

In a new Weyl 2-spinor approach to Non abelian Gauge Theories, starting with the local U(1) Gauge group of a previous work, we study now the SU(3) case corresponding to quarks (antiquarks) interacting with color fields. The principal…

High Energy Physics - Theory · Physics 2021-01-05 J. Buitrago

Based on our exact effective spin model, the zero temperature $SU(N)$ gauge field confinement has been studied by the deconfinement-confinement phase transition order parameter, i.e. the Wilson line, rather than the quark antiquark…

High Energy Physics - Lattice · Physics 2007-05-23 Z. K. Zhu , D. H. Feng

Generalization of QCD motivated classical SU(2) Yang--Mills theory coupled to the scalar field is discussed. The massive scalar field, corresponding the scalar glueball, provides a confining potential for static, point-like, external…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Slusarczyk , A. Wereszczynski

We construct several quantum gauge theories in 4 dimensional space time, including both Abelian and non Abelian gauge groups, with the Abelian gauge fields coupled to zero mass matter fields. The construction occurs in a fixed finite…

Mathematical Physics · Physics 2025-02-06 James Glimm , Jarret Petrillo , Min Chul Lee

This work presents concisely the results obtained from the analysis of the two-point function of the gauge field in the $SU(2)$ and $SU(2)\times U(1)$ gauge theories, in the Landau gauge, coupled to a scalar Higgs field in the fundamental…

High Energy Physics - Theory · Physics 2015-07-01 I. F. Justo , M. A. L. Capri , D. Dudal , A. J. Gómez , M. S. Guimaraes , S. P. Sorella , D. Vercauteren

We extend the Standard Model gauge group by a a gauged $U(1)_R$ R-Symmetry or a gauged $U(1)'$. The requirement of cancellation of anomalies is very constraining but can be achieved by adding three or four hidden-sector fields which are…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Chamseddine , H. Dreiner

We explore whether quantum gravity effects within the asymptotic safety paradigm can provide a predictive ultraviolet completion for Abelian gauge theories. We evaluate the effect of quantum gravity fluctuations on the running couplings in…

High Energy Physics - Theory · Physics 2017-05-18 Nicolai Christiansen , Astrid Eichhorn

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

There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection. Poincar\'{e} gauge theory and…

General Mathematics · Mathematics 2022-06-14 Zhao-Hui Man

We consider the simplest model of $SU(3) \times SU(2) \times U(1)_Y \times U(1)_R$ gauge symmetry with one extra singlet field whose vacuum expectation value breaks the horizontal $R$-symmetry $U(1)_R$ and gives rise to Yukawa textures. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 Eung Jin Chun

Gauge theories form the foundation of modern physics, with applications ranging from elementary particle physics and early-universe cosmology to condensed matter systems. We perform quantum simulations of the unitary dynamics of a U(1)…

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