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We reexamine a unitary-transformation method of extracting a physical Hamiltonian from a gauge field theory after quantizing all degrees of freedom including redundant variables. We show that this {\it quantum Hamiltonian reduction} method…

High Energy Physics - Theory · Physics 2009-10-28 Kazunori Itakura , Koichi Ohta

We describe an approximate quantum mechanical picture of hadrons in Minkowski space in the context of a renormalization group procedure for effective particles (RGPEP) in a light-front Hamiltonian formulation of QCD. The picture suggests…

High Energy Physics - Theory · Physics 2011-09-12 Stanislaw D. Glazek

We consider the QCD scattering amplitudes at high energies sqrt{s} and fixed momentum transfers sqrt{-t} in the leading logarithmic approximation at a non-zero temperature T in the t-channel. It is shown that the BFKL Hamiltonian has the…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. de Vega , L. N. Lipatov

We develop a new systematic approach to quantum field theory that is designed to lead to physical states that rapidly converge in an expansion in free-particle Fock-space sectors. To make this possible, we use light-front field theory to…

High Energy Physics - Theory · Physics 2009-09-25 Brent H. Allen

There exists the problem to construct a quantum algebra of observables in lightcone QCD beyond the perturbative regime. It has recently established that the boundary gauge fields are crucial for a consistent construction of the classical…

High Energy Physics - Phenomenology · Physics 2011-07-25 Alexey V. Popov

We show that combining forward and backward evolution allows to extract the residues of the triple-pole pomeron and of the other singularities for 10 GeV$^2 \le Q^2 \le 1000$ GeV$^2$. In this approach, the essential singularity generated by…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Soyez

We study the scattering of the gluon-dressed physical quarks, defined as the eigenstates of the vacuum QCD Hamiltonian, off a colored medium. We solve the wavefunction of the physical quark state by diagonalizing the QCD Hamiltonian in…

High Energy Physics - Phenomenology · Physics 2025-04-11 Meijian Li , Tuomas Lappi , Xingbo Zhao , Carlos A. Salgado

A new approach to high energy evolution based on a linear equation for QCD generating functional is developed. This approach opens a possibility for systematic study of correlations inside targets, and, in particular, inside realistic…

High Energy Physics - Phenomenology · Physics 2010-11-30 E. Levin , M. Lublinsky

For k-symplectic Hamiltonian field theories, we study infinitesimal transformations generated by certain kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means of a suitable…

Mathematical Physics · Physics 2015-12-15 Narciso Roman-Roy , Modesto Salgado , Silvia Vilarino

Employing the Worldline casting of the Dosch-Simonov Stochastic Vacuum Model(SVM) for QCD, a simulated meson-meson scattering is studied in the Regge kinematical regime. The process is modelled in terms of the "helicoidal" Wilson contour…

High Energy Physics - Phenomenology · Physics 2008-10-08 A. I. Karanikas , C. N. Ktorides

A new framework for a high energy limit of quantum gauge field theories is introduced. Its potency is illustrated on a new derivation of the reggeization of the gluon.

High Energy Physics - Theory · Physics 2009-10-30 Victor T. Kim , Grigorii B. Pivovarov

This paper presents a method for learning Hamiltonian dynamics from a limited set of data points. The Hamiltonian vector field is found by regularized optimization over a reproducing kernel Hilbert space of vector fields that are inherently…

Robotics · Computer Science 2024-11-05 Torbjørn Smith , Olav Egeland

The high energy/density QCD has been widely used for DIS phenomenology with a projectile particle considered as perturbative and dilute. We review some recent attempts to derive a high energy evolution kernel which treats targets and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Lublinsky

Large-N QCD is analysed in light-front coordinates with a transverse lattice at strong coupling. The general formalism can be looked up on as a d+n expansion with a stack of d-dimensional hyperplanes uniformly spaced in n transverse…

High Energy Physics - Lattice · Physics 2009-10-31 Apoorva D. Patel

The dressing of bare massless quarks is described with a spatial theory based on the self-consistent solution of the QCD field equations. After quantization these equations are expressed in terms of quark and gluon creation and annihilation…

General Physics · Physics 2019-01-31 J. M. Greben

The realization of global symmetries can depend on the geometry of the underlying space. In particular, compactification can lead to spontaneous breaking of such symmetries. Four-dimensional QCD with fundamental representation fermions…

High Energy Physics - Lattice · Physics 2010-10-27 Thomas DeGrand , Roland Hoffmann

We quantize a compactified version of the trigonometric Ruijse\-naars-Schneider particle model with a phase space that is symplectomorphic to the complex projective space CP^N. The quantum Hamiltonian is realized as a discrete difference…

Mathematical Physics · Physics 2009-10-30 Jan Felipe van Diejen , Luc Vinet

We describe a family of phase transitions connecting phases of differing non-trivial topological order by explicitly constructing Hamiltonians of the Levin-Wen[PRB 71, 045110] type which can be tuned between two solvable points, each of…

Strongly Correlated Electrons · Physics 2011-11-01 F. J. Burnell , Steven H. Simon , J. K. Slingerland

A quantum theory of noncommutative fields was recently proposed by Carmona, Cortez, Gamboa and Mendez (hep-th/0301248). The implications of the noncommutativity of the fields, intended as the requirements…

High Energy Physics - Theory · Physics 2010-02-03 Gianluca Mandanici , Antonino Marciano

Three generation heterotic-string vacua in the free fermionic formulation gave rise to models with solely the MSSM states in the observable Standard Model charged sector. The relation of these models to Z_2 x Z_2 orbifold compactifications…

High Energy Physics - Theory · Physics 2008-11-26 Alon E. Faraggi , Elisa Manno , Cristina Timirgaziu
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