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Quantum dynamics of strongly correlated systems is a challenging problem. Although the low energy fractional excitations of one dimensional integrable models are often well-understood, exploring quantum dynamics in these systems remains…

Strongly Correlated Electrons · Physics 2019-11-13 Wang Yang , Jianda Wu , Shenglong Xu , Zhe Wang , Congjun Wu

Asymptotic AdS Riemann space-times in five dimensions with a black brane (horizon) sourced by a fully back-reacted scalar field (dilaton) offer -- via the holographic dictionary -- various options for the thermodynamics of the flat…

High Energy Physics - Theory · Physics 2020-07-21 Rico Zöllner , Burkhard Kampfer

We examine the generalized leading-logarithmic approximation (LLA) equations for compound states of n-reggeized gluons. It is shown that in multi-color QCD, when $N_c \rightarrow \infty$, these equations have a sufficient number of…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. N. Lipatov , A. Berera

We develop a formalism where the hard and soft pomeron contributions to high energy scattering arise as leading Regge poles of a single kernel in holographic QCD. The kernel is obtained using effective field theory inspired by Regge theory…

High Energy Physics - Phenomenology · Physics 2017-09-13 Alfonso Ballon-Bayona , Robert Carcasses Quevedo , Miguel S. Costa

We discuss the duality symmetry of the linear(BFKL) and the non-linear(BK) high energy evolutions in the multicolor limit. We show that the usual color dipole picture is dual to the forward reggeized gluon formulation. The presented…

High Energy Physics - Phenomenology · Physics 2009-12-15 Alex Prygarin

In this paper we propose a Hamiltonian generalizing the interaction of the two--level atom and both the single radiation mode and external field $...$ a kind of cavity QED. We solve the Schrodinger equation in the strong coupling regime by…

Quantum Physics · Physics 2007-05-23 Kazuyuki Fujii

We address the problem of solution of the QCD three-particle evolution equations which govern the Q-dependence of the chiral-even quark-gluon-quark and three-gluon correlators contributing to a number of asymmetries at leading order and the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Belitsky

We obtain the deuteron's wave functions as eigenstates of the light-front quantum chromodynamics (QCD) Hamiltonian using a fully relativistic and nonperturbative approach based on light-front quantization, without an explicit confining…

High Energy Physics - Phenomenology · Physics 2025-05-20 Chandan Mondal , Satvir Kaur , Jiatong Wu , Siqi Xu , Xingbo Zhao , James P. Vary

The analytical solution of the task of the interaction of quantized EM-field with multichain quasionedimensional axially symmetric qubit system by taking into account both the intrachain and interchain qubit coupling has been obtained for…

Quantum Physics · Physics 2015-05-27 Alla Dovlatova , Dmitry Yearchuck

We derive a nonsymmetrized 8-band effective-mass Hamiltonian for quantum-dot heterostructures (QDHs) in Burt's envelope-function representation. The 8x8 radial Hamiltonian and the boundary conditions for the Schroedinger equation are…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. P. Pokatilov , V. A. Fonoberov , V. M. Fomin , J. T. Devreese

Weyl group symmetric structure of SU(3) quantum chromodynamics (QCD) with one flavor quark is considered. It has been demonstrated that Weyl group as a finite color subgroup of SU(3) provides an intrinsic color symmetry of quark and gluon…

High Energy Physics - Theory · Physics 2025-08-26 Dmitriy G. Pak , Pengming Zhang , Takuya Tsukioka

A quantum N-body problem with 2-component in (2+1)-dimension deduced from integrable model in (2+1) dimension is investigated. The Davey-Stewartson 1(DS1) system[Proc. R. Soc. London, Ser. A {\bf 338}, 101 (1974)] is an integrable model in…

Statistical Mechanics · Physics 2009-11-07 Mu-Lin Yan , Bao-Heng Zhao

We employ a discrete integral-reflection representation of the double affine Hecke algebra of type $C^\vee C$ at the critical level q=1, to endow the open finite $q$-boson system with integrable boundary interactions at the lattice ends. It…

Mathematical Physics · Physics 2018-04-17 J. F. van Diejen , E. Emsiz , I. N. Zurrián

We introduce a novel composite Higgs theory based on confining supersymmetric QCD. Supersymmetric duality plays a key role in this construction, with a "fat" Higgs boson emerging as a dual magnetic degree of freedom charged under the dual…

High Energy Physics - Phenomenology · Physics 2015-05-28 Nathaniel Craig , Daniel Stolarski , Jesse Thaler

We introduce a novel numerical method to integrate partial differential equations representing the Hamiltonian dynamics of field theories. It is a multi-symplectic integrator that locally conserves the stress-energy tensor with an excellent…

Numerical Analysis · Mathematics 2017-02-23 Hugo Ricateau , Leticia F. Cugliandolo

Inhomogeneous quantum groups are shown to be an effective algebraic tool in the study of integrable systems and to provide solutions equivalent to the Bethe ansatz. The method is illustrated on the 1D Heisenberg ferromagnet whose symmetry…

High Energy Physics - Theory · Physics 2009-10-22 F. Bonechi , E. Celeghini , R. Giachetti , E. Sorace , M. Tarlini

In this work we present numerical results for physical quantities in the steady-state obtained after a variety of product-states initial conditions are evolved unitarily, driven by the dynamics of quantum integrable models of the rational…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Hugo Tschirhart , Thierry Platini , Alexandre Faribault

We derive supersymmetric quantum chromodynamics from a noncommutative manifold, using the spectral action principle of Chamseddine and Connes. After a review of the Einstein-Yang-Mills system in noncommutative geometry, we establish in full…

High Energy Physics - Theory · Physics 2011-03-22 Thijs van den Broek , Walter D. van Suijlekom

This paper is a brief survey of the Balitskii-Fadin-Kuraev-Lipatov (BFKL) approach for the description of hard or semi-hard processes in the so-called Regge limit of perturbative QCD. The starting point is a fundamental property of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alessandro Papa

We show that the infinite tower of hard exclusive amplitudes in holographic light-front QCD leads to a spectral generator $G(\alpha,\lambda)$ which encodes the full Regge spectrum. The construction assumes a Poisson distribution of…

High Energy Physics - Phenomenology · Physics 2026-04-07 Guy F. de Teramond , Stanley J. Brodsky , Hans Gunter Dosch
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