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In this paper we implement Schwinger-Keldysh closed-time path integral formalism in non-equilibrium QCD to the definition of Collins-Soper fragmentation function. We consider a high p_T parton in QCD medium at initial time t_0 with…

High Energy Physics - Phenomenology · Physics 2014-11-18 Gouranga C Nayak

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

We investigate the unequal mass relativistic bound state system, the $B_c$ mesons, in a light-front Hamiltonian formalism. We adopt an effective Hamiltonian based on soft-wall light-front holography, together with a longitudinal confinement…

Nuclear Theory · Physics 2019-01-02 Shuo Tang , Yang Li , Pieter Maris , James P. Vary

The theory of deep inelastic scattering structure functions is reviewed with an emphasis put on the QCD expectations of their behaviour in the region of small values of the Bjorken parameter $x$.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

A translation invariant Hamiltonian $H$ in the nonrelativistic quantum electrodynamics is studied. This Hamiltonian is decomposed with respect to the total momentum $\tot$: $$H=\int_{\BR} ^\oplus \fri(P) dP,$$ where the self-adjoint fiber…

Mathematical Physics · Physics 2007-05-23 Fumio Hiroshima

We apply (Fractional) Analytic Perturbation Theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function $F_2(x,Q^2)$ in deep inelastic scattering up to the next leading order and compare the results with ones obtained…

High Energy Physics - Phenomenology · Physics 2015-07-30 Cesar Ayala , S. V. Mikhailov

Soft components of the light cone wave-function of a fast moving projectile hadron is computed in perturbation theory to third order in QCD coupling constant. At this order, the Fock space of the soft modes consists of one-gluon, two-gluon,…

High Energy Physics - Phenomenology · Physics 2017-08-23 Michael Lublinsky , Yair Mulian

We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Neubert

The bound state wave functions for a wide class of exactly solvable potentials are found utilizing the quantum Hamilton-Jacobi formalism. It is shown that, exploiting the singularity structure of the quantum momentum function, until now…

Quantum Physics · Physics 2009-11-07 S. Sree Ranjani , K. G. Geojo , A. K. Kapoor , P. K. Panigrahi

We have studied the color dipole picture for the description of the deep inelastic process, mainly the structure functions which are driven directly by the gluon distribution. Estimates for those functions are obtained using the effective…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Gay Ducati , M. V. T. Machado

A new ATSP2K module is presented for evaluating the electron density function of any multiconfiguration Hartree-Fock or configuration interaction wave function in the non relativistic or relativistic Breit-Pauli approximation. It is first…

Atomic Physics · Physics 2015-05-13 A. Borgoo , O. Scharf , G. Gaigalas , M. Godefroid

Recent deep inelastic results from the H1 collaboration are presented. The topics covered include inclusive diffractive physics, the determination of alpha_S using the event shapes, the study of the hadronic final state at low x with single…

High Energy Physics - Experiment · Physics 2009-10-30 Gregorio Bernardi

We calculate the contribution from nonlocal vacuum condensates of quark fields to the hadronic part of the photon structure function $F_2(x)$ in the operator product expansion approach to QCD. The result is a smooth function of $x$ and its…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. P. Bakulev , S. V. Mikhailov

The light-front representation of quantum chromodynamics provides a frame-independent, quantum-mechanical representation of hadrons at the amplitude level, capable of encoding their multi-quark, hidden-color and gluon momentum, helicity,…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky

We provide and discuss complex analytic methods for overcoming the formal character of formal deformation quantization. This is a necessity for returning to physically meaningful statements, and accounts for the fact that the formal…

Complex Variables · Mathematics 2025-04-18 Michael Heins

Recent measurements of unpolarised and polarised nucleon structure functions and F_2(gamma) are reviewed. The implications for QCD and the gluon momentum distribution are discussed. The status of the understanding of the total…

High Energy Physics - Experiment · Physics 2007-05-23 Robin Devenish

We compute the full three-loop coefficient functions for the structure functions F_2 and F_L in massless perturbative QCD. The results for F_L complete the next-to-next-to-leading order description of unpolarized electromagnetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. M. Vermaseren , A. Vogt , S. Moch

After briefly explaining the idea of photon structure functions (\f2gam\ , \flgam) I review the current theoretical and experimental developements in the subject of extraction of \qvph\ from a study of the Deep Inelastic Scattering (DIS). I…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rohini M. Godbole

Hamiltonian systems with functionally dependent constraints (irregular systems), for which the standard Dirac procedure is not directly applicable, are discussed. They are classified according to their behavior in the vicinity of the…

High Energy Physics - Theory · Physics 2009-11-10 Olivera Miskovic , Jorge Zanelli

Using Laplace transform techniques, I calculate the longitudinal structure function $F_{L}(x,Q^{2})$ from the scaling violations of the proton structure function $F_{2}(x,Q^{2})$, and make a critical study of this relationship between the…

High Energy Physics - Phenomenology · Physics 2018-01-31 G. R. Boroun