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We introduce and study a pure gauge abelian theory in 2+1D in which massive quantum vortex states do exist in the spectrum of excitations. This theory can be mapped in a three dimensional gas of point particles with a logarithmic…

High Energy Physics - Theory · Physics 2009-10-30 E. C. Marino , F. I. Takakura

In quantum gauge theory of gravity, the gravitational field is represented by gravitational gauge field. The field strength of gravitational gauge field has both gravitational electric component and gravitational magnetic component. In…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Ning Wu

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of…

High Energy Physics - Theory · Physics 2019-10-30 Daisuke Yoshida

Center projection of SU(2) lattice gauge theory allows to isolate magnetic vortices as confining configurations. The vortex density scales according to the renormalization group, implying that the vortices are physical objects rather than…

High Energy Physics - Lattice · Physics 2009-10-31 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

In SU(2) lattice gauge theory in maximal center gauge, we investigate the dependence of center-projected Creutz ratios and the vortex density on lattice size and the number of gauge copies. The dependence on the number of copies is rather…

High Energy Physics - Lattice · Physics 2008-11-26 Roman Bertle , Manfried Faber , Jeff Greensite , Stefan Olejnik

Effective action of center vortices in SU(2) lattice gauge theory is investigated by studying the correlation between the action density on their worldsheets and their geometric properties. It turns out that center vortices are rigid,…

High Energy Physics - Lattice · Physics 2008-11-26 P. V. Buividovich , M. I. Polikarpov , V. I. Zakharov

A simpler method of quantization is given for massive gauge theories. This method gives the same results as those of the conventional massive gauge theory with ghost and Higgs fields under the Higgs mass. Besides, we point out physical…

High Energy Physics - Phenomenology · Physics 2007-10-17 Tsuguo Mogami

The vacuum of supersymmetric gauge theories (SQCD) with N=2 softly broken to N=1 resembles that of a BCS superconductor in that it has a condensate which collimates flux into vortices, leading to confinement. We embed the SQCD vortex into…

High Energy Physics - Theory · Physics 2009-03-05 Jarah Evslin

The center vortex model of the QCD vacuum is very successful in explaining the non-perturbative properties of QCD, especially confinement, chiral symmetry breaking and the topological charge of vacuum configurations. On the other hand, the…

High Energy Physics - Lattice · Physics 2021-06-16 Rudolf Golubich , Manfried Faber

Gravitation theory is formulated as gauge theory on natural bundles with spontaneous symmetry breaking where gauge symmetries are general covariant transformations, gauge fields are general linear connections, and Higgs fields are…

Mathematical Physics · Physics 2016-06-29 G. Sardanashvily

Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making…

Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal…

High Energy Physics - Lattice · Physics 2024-07-31 Guilherme Catumba , Atsuki Hiraguchi , Wei-Shu Hou , Karl Jansen , Ying-Jer Kao , C. -J. David Lin , Alberto Ramos , Mugdha Sarkar

We propose a general formulation of simplicial lattice gauge theory inspired by the finite element method. Numerical tests of convergence towards continuum results are performed for several SU(2) gauge fields. Additionaly, we perform…

High Energy Physics - Lattice · Physics 2011-11-29 Tore Gunnar Halvorsen , Torquil Macdonald Sørensen

We consider the canonical quantization of an ordinary fluid. The resulting long-distance effective field theory is derivatively coupled, and therefore strongly coupled in the UV. The system however exhibits a number of peculiarities,…

High Energy Physics - Theory · Physics 2011-06-23 Solomon Endlich , Alberto Nicolis , Riccardo Rattazzi , Junpu Wang

A Chern--Simons system in $2+1$ dimensions invariant under local Lorentz rotations, $SU(2)$ gauge transformations, and local $\mathcal{N}=2$ supersymmetry transformations is proposed. The field content is that of $(2+1)$-gravity plus an…

High Energy Physics - Theory · Physics 2015-08-26 Pedro D. Alvarez , Pablo Pais , Eduardo Rodríguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We consider pure SU(N) gauge theories defined on an orbifold lattice, analogous to the S^1/Z_2 gauge theory orbifolds of the continuum, which according to the perturbative analysis do not have a Higgs phase. Non-perturbatively the…

High Energy Physics - Lattice · Physics 2015-06-18 Nikos Irges , Francesco Knechtli

Quark confinement and dynamical chiral symmetry breaking are two of the most important emergent properties of the theory of quantum chromodynamics. We review recent results studying centre vortices in SU(3) lattice gauge theory with…

High Energy Physics - Lattice · Physics 2023-02-03 Waseem Kamleh , James Biddle , Derek B. Leinweber , Adam Virgili

We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a…

Statistical Mechanics · Physics 2008-10-08 Stephen Powell , J. T. Chalker

We construct a non-topological string solution for a supersymmetric gauge theory with $SU(2)\times U(1)$ gauge symmetry which is spontaneously broken to $U(1)$ by developing the vacuum expectation value of two doublet Higgses. It is a…

High Energy Physics - Phenomenology · Physics 2023-03-15 Yukihiro Kanda , Nobuhiro Maekawa

Inspired by direct and indirect maximal center gauge methods which confirm the existence of vortices in lattice calculations and by using the connection formalism, we show that under some appropriate gauge transformations vortices and…

High Energy Physics - Lattice · Physics 2022-05-23 Zahra Asmaee , Sedigheh Deldar , Motahareh Kiamari
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