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Related papers: The non-forward BFKL equation and infrared effects

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We consider a `color density matrix' in gauge theory. We argue that it systematically resums large logarithms originating from wide-angle soft radiation, sometimes referred to as non-global logarithms, to all logarithmic orders. We…

High Energy Physics - Phenomenology · Physics 2018-03-06 Simon Caron-Huot

The BFKL dynamics can be successfully tested at the future high energy $e^+e^-$ linear collider. The total $\gamma^*\gamma^*$ cross-section is calculated in the Leading Log QCD dipole picture of BFKL dynamics, and compared with the one from…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Royon

As a continuation of a previous work [B. Horv\'ath et al., Phys. Rev. B {\bf 82}, 165129 (2010)], here we extend the so-called Fluctuation Exchange Approximation (FLEX) to study the non-equilibrium singlet-triplet transition. We show that,…

Strongly Correlated Electrons · Physics 2011-11-30 Bertalan Horváth , Bence Lazarovits , Gergely Zaránd

A review of some theoretical aspects of small x QCD physics is given, with a particular emphasis to the relation between the BFKL and the colour dipole approaches. The nonlinear evolution equations one may construct, as a better…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Vacca

We study cluster perturbation theory [Phys. Rev. Lett. \textbf{84}, 522 (2000)] when auxiliary field quantum Monte Carlo method is used for solving the cluster hamiltonian. As a case study, we calculate the spectral functions of the Hubbard…

Strongly Correlated Electrons · Physics 2007-05-23 Fei Lin , Erik S. Sorensen , Catherine Kallin , A. John Berlinsky

The basic expressions for the differential nuclear bremsstrahlung cross section at high electron energy, as derived under different theoretical approaches and approximations to quantum coherence effects, are compared. The Baier-Katkov…

High Energy Physics - Phenomenology · Physics 2021-12-15 A. Mangiarotti , P. Sona , U. I. Uggerhøj

We propose a new form for the small x effective action in QCD. This form of the effective action is motivated by Wong's equations for classical, colored particles in non-Abelian background fields. We show that the BFKL equation, which sums…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jamal Jalilian-Marian , Sangyong Jeon , Raju Venugopalan

We calculate the leading order BFKL amplitude for the exclusive diffractive process \gamma*_L(Q1^2) \gamma*_L(Q2^2) \to \rho_L^0 \rho_L^0 in the forward direction, which can be studied in future high energy e^+e^- linear colliders. The…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Enberg , B. Pire , L. Szymanowski , S. Wallon

We develop the analytic bootstrap in several directions. First, we discuss the appearance of nonperturbative effects in the Lorentzian inversion formula, which are exponentially suppressed at large spin but important at finite spin. We show…

High Energy Physics - Theory · Physics 2019-09-04 Soner Albayrak , David Meltzer , David Poland

Diagrammatic Monte Carlo approach is applied to a problem of a single spin-down fermion resonantly interacting with the sea of ideal spin-up fermions. On one hand, we develop a generic, sign-problem tolerant, method of exact numerical…

Statistical Mechanics · Physics 2009-11-13 Nikolay Prokof'ev , Boris Svistunov

We describe a new approach for modeling the transport of high energy particles accelerated during flares from the acceleration region in the solar corona until their eventual thermalization in the flare footpoint. Our technique numerically…

Solar and Stellar Astrophysics · Physics 2020-10-14 Joel C. Allred , Meriem Alaoui , Adam F. Kowalski , Graham S. Kerr

We propose a modified Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the summation of large $\ln(1/x)$, $x$ being the Bjorken variable, which contains an extra dependence on momentum transfer $Q$ compared to the conventional BFKL…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jyh-Liong Lim , Hsiang-nan Li

We determine an approximate expression for the O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation, which includes all collinear and anticollinear singular contributions. This is derived using recent results on the relation…

High Energy Physics - Phenomenology · Physics 2010-03-25 Simone Marzani , Richard D. Ball , Pietro Falgari , Stefano Forte

The running BFKL equation gives rise to a series of moving poles in the complex $j$-plane. The first nodes for all subleading solutions (color dipole cross sections) accumulate at $r_1\sim 0.1 fm$.Therefore the processes dominated by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. R. Zoller

Using the Balitsky-Kovchegov (BK) equation as an explicit example, we show that nonlinear QCD evolution leads to an instability in the propagation toward the infrared of the gluon transverse momentum distribution, if one starts with a state…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Enberg , R. Peschanski

The gluon and quark production in the quasi-multi-Regge kinematics is considered. The differential cross section for different helicity states is calculated. The dimensional regularization is used to remove the infrared divergencies in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. S. Fadin , L. N. Lipatov

The pomeron-pomeron interaction is studied in the perturbative approach of BFKL-Bartels. The total pomeron-pomeron cross-section is proportional to $\alpha_{s}^{4}s^{\Delta}/\sqrt {t_{1}t_{2}}$ where $\sqrt{s}$ is the c.m. energy and…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. Armesto , M. A. Braun

A quantum Monte-Carlo is proposed to describe fusion/fission processes when fluctuation and dissipation, with memory effects, are important. The new theory is illustrated for systems with inverted harmonic potentials coupled to a heat-bath.

Nuclear Theory · Physics 2009-09-28 G. Hupin , D. Lacroix

We consider the cross section in Fourier space, conjugate to the outgoing hadron's transverse momentum, where convolutions of transverse momentum dependent parton distribution functions and fragmentation functions become simple products.…

High Energy Physics - Phenomenology · Physics 2015-06-03 Leonard Gamberg , Daniel Boer , Bernhard Musch , Alexei Prokudin

In this paper, we propose a general analysis framework for inexact power iteration, which can be used to efficiently solve high dimensional eigenvalue problems arising from quantum many-body problems. Under the proposed framework, we…

Numerical Analysis · Mathematics 2018-06-29 Jianfeng Lu , Zhe Wang