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Motivated by the initial stages of high-energy heavy-ion collisions, we study excitations of far-from-equilibrium 2+1 dimensional gauge theories using classical-statistical lattice simulations. We evolve field perturbations over a strongly…

High Energy Physics - Phenomenology · Physics 2021-06-18 K. Boguslavski , A. Kurkela , T. Lappi , J. Peuron

We present the results of a detailed calculation of the excitation spectrum of states with quantum numbers J^{PC}=0++, 1-- and 2++ in the three-dimensional SU(2) Higgs model at two values of the scalar self-coupling and for fixed gauge…

High Energy Physics - Lattice · Physics 2009-10-30 O. Philipsen , M. Teper , H. Wittig

We study nonequilibrium dynamics of SU(2) pure gauge theory starting from initial over-population, where intense classical gauge fields are characterized by a single momentum scale Q_s. Classical-statistical lattice simulations indicate a…

High Energy Physics - Phenomenology · Physics 2013-05-30 J. Berges , S. Schlichting , D. Sexty

Non-abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher dimensional (2-dimensional in the present context) connection forms, and as such, it has been successfully applied to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , Eugeniu M. Popescu

We compute the mass spectrum of the SU(2) adjoint Higgs model in 2+1 dimensions at several points located in the (metastable) confinement region of its phase diagram. We find a dense spectrum consisting of an almost unaltered repetition of…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , O. Philipsen

Gauge-invariant non-local scalar and field strength operators have been argued to have significance, e.g., as a way to determine the behaviour of the screened static potential at large distances, as order parameters for confinement, as…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , O. Philipsen

The generalized SU(2) Proca theory (GSU2P) is a variant of the well known generalized Proca theory where the vector field belongs to the Lie algebra of the SU(2) group of global transformations under which the action is made invariant. New…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Juan C. Garnica , L. Gabriel Gomez , Andres A. Navarro , Yeinzon Rodriguez

We construct a perturbation theory for the SU(2) non-linear Sigma-model in 2+1 dimensions using a polynomial, first-order formulation, where the variables are a non-Abelian vector field L_mu (the left SU(2) current), and a non-Abelian…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco , T. Matsuyama

We study two different SU(2) gauge-scalar theories in 3 and 4 spacetime dimensions. Firstly, we focus on the 3 dimensional SU(2) theory with multiple Higgs fields in the adjoint representation, that can be mapped to cuprate systems in…

We study the entanglement entropy of Hamiltonian SU(2) lattice gauge theory in $2+1$ dimensions on linear plaquette chains and show that the entanglement entropies of both ground and excited states follow Page curves. The transition of the…

High Energy Physics - Lattice · Physics 2024-08-29 Lukas Ebner , Andreas Schäfer , Clemens Seidl , Berndt Müller , Xiaojun Yao

Three-dimensional scalar electrodynamics, with a local U(1) gauge symmetry, is believed to be dual to a scalar theory with a global U(1) symmetry, near the phase transition point. The conjectured duality leads to definite predictions for…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kajantie , M. Laine , T. Neuhaus , A. Rajantie , K. Rummukainen

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics with manifest monopole-like excitations, arising from the integration over singular gauge transformations, is formulated in the continuum limit. The…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Antonov , Dietmar Ebert

We consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)/Z_2, which possesses nontrivial topology. In particular, there are…

High Energy Physics - Theory · Physics 2009-10-30 S. Pinsky

Quantum computers have the potential to explore the vast Hilbert space of entangled states that play an important role in the behavior of strongly interacting matter. This opportunity motivates reconsidering the Hamiltonian formulation of…

High Energy Physics - Lattice · Physics 2021-01-08 David B. Kaplan , Jesse R. Stryker

Gauge theories embedded into higher-dimensional spaces with certain topologies acquire inductance terms, which reflect the energy cost of topological charges accumulated in the extra dimensions. We compute topological susceptibility in the…

High Energy Physics - Theory · Physics 2008-11-26 S. Khlebnikov

We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry.…

High Energy Physics - Lattice · Physics 2015-06-17 Michele Della Morte , Pilar Hernandez

The Hamiltonian dynamics of \(2 + 1\) dimensional Yang-Mills theory with gauge group SU(2) is reformulated in gauge invariant, geometric variables, as in earlier work on the \(3 + 1\) dimensional case. Physical states in electric field…

High Energy Physics - Theory · Physics 2009-10-08 Michel Bauer , Daniel Z. Freedman

In this paper, we discuss the dynamics of two- scalar-field cosmological models. Unlike in the situation of exponential potential, we find that there are late-time attractors in which one scalar field dominates the energy density of…

General Relativity and Quantum Cosmology · Physics 2017-11-09 Yu Li

We study nonequilibrium dynamics of SU(2) lattice gauge theory in Minkowski space-time in a classical-statistical regime, where characteristic gluon occupancies are much larger than unity. In this strongly correlated system far from…

High Energy Physics - Phenomenology · Physics 2023-12-06 Daniel Spitz , Kirill Boguslavski , Jürgen Berges

We extend the theory of non-thermal fixed points to the case of anomalously slow universal scaling dynamics according to the sine-Gordon model. This entails the derivation of a kinetic equation for the momentum occupancy of the scalar field…

Quantum Gases · Physics 2025-10-13 Philipp Heinen , Aleksandr N. Mikheev , Thomas Gasenzer
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