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Related papers: Chaos analyses in both phases of QED and QCD

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We analyze the leading Lyapunov exponents of SU(2) Yang-Mills field configurations on the lattice which are initialized by quantum Monte Carlo simulations. We find that configurations in the strong coupling phase at finite temperature are…

High Energy Physics - Lattice · Physics 2022-02-23 Tamas S. Biro , Markus Feurstein , Harald Markum

An investigation of classical chaos and quantum chaos in gauge fields and fermion fields, respectively, is presented for (quantum) electrodynamics. We analyze the leading Lyapunov exponents of U(1) gauge field configurations on a $12^3$…

Chaotic Dynamics · Physics 2007-05-23 Harald Markum , Rainer Pullirsch

We decompose U(1) gauge fields into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are…

High Energy Physics - Lattice · Physics 2017-08-23 Harald Markum , Rainer Pullirsch , Wolfgang Sakuler

U(1) gauge fields are decomposed into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are…

High Energy Physics - Lattice · Physics 2007-05-23 Harald Markum , Rainer Pullirsch , Wolfgang Sakuler

U(1) gauge fields are decomposed into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are…

High Energy Physics - Lattice · Physics 2008-11-26 Harald Markum , Rainer Pullirsch , Wolfgang Sakuler

U(1) gauge fields are decomposed into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are…

High Energy Physics - Lattice · Physics 2008-11-26 Tamas S. Biro , Harald Markum , Rainer Pullirsch , Wolfgang Sakuler

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

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_\tau in the thermodynamic limit. Analysing the series with Pad\'e approximants, we…

High Energy Physics - Lattice · Physics 2015-05-14 Jens Langelage , Owe Philipsen

We analyze the Lyapunov exponents of U(1) gauge fields across the phase transition from the confinement to the Coulomb phase on the lattice which are initialized by quantum Monte Carlo simulations. We observe all features of a strange…

High Energy Physics - Lattice · Physics 2007-05-23 Tamas S. Biro , Harald Markum , Rainer Pullirsch

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

High Energy Physics - Lattice · Physics 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

We study chaotic synchronization in networks with time-delayed coupling. We introduce the notion of strong and weak chaos, distinguished by the scaling properties of the maximum Lyapunov exponent within the synchronization manifold for…

We present a numerical study about the confining regime of compact U(1) lattice gauge theory in 4D. To address the problem, we exploit the duality properties of the theory. The main features of this method are presented, and its possible…

High Energy Physics - Lattice · Physics 2008-11-26 Marco Panero

Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the…

Statistical Mechanics · Physics 2008-05-29 A. B. Kuklov , M. Matsumoto , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

Pure gauge compact QED on hypercubic lattices is considered with periodically closed monopole currents suppressed. We compute observables on sublattices which are nested around the centre of the lattice in order to locate regions where…

High Energy Physics - Lattice · Physics 2016-08-31 Th. Lippert , A. Bode , V. Bornyakov , K. Schilling

Adding separate chemical potentials lambda and gamma for Z2 monopoles and vortices respectively in the Villain form of the mixed fundamental-adjoint action for the SU(2) lattice gauge theory, we investigate their role in the interplay…

High Energy Physics - Lattice · Physics 2009-10-31 Saumen Datta , R. V. Gavai

We have found in numerical simulations that the chaoticity of the classical hamiltonian lattice SU(2) gauge theory is reduced in the presence of static charges at the same total energy. The transition from strongly to weakly chaotic…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. S. Biro

In this paper, we study a 3D compact U(1) lattice gauge theory with a variety of nonlocal interactions that simulates the effects of gapless/gapful matter fields. This theory is quite important to investigate the phase structures of QED$_3$…

Strongly Correlated Electrons · Physics 2010-04-05 Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara , Shunsuke Takashima

We numerically investigate the phase diagram of pure U(1) gauge theory with gauge fixing at strong gauge coupling. The FM-FMD phase transition, which proved useful in defining Abelian lattice chiral gauge theory, persists also at strong…

High Energy Physics - Lattice · Physics 2007-05-23 S. Basak , Asit K. De

U(1) gauge fields are decomposed into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are…

High Energy Physics - Lattice · Physics 2017-08-23 Tamas S. Biro , Harald Markum , Rainer Pullirsch

Assigning a chaos index for dynamics of generic quantum field theories is a challenging problem, because the notion of Lyapunov exponent, which is useful for singling out chaotic behaviors, works only in classical systems. We address the…

High Energy Physics - Theory · Physics 2016-12-07 Koji Hashimoto , Keiju Murata , Kentaroh Yoshida
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