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The non-linear dynamics of long-wavelength cosmological fluctuations may be phrased in terms of an effective classical, but stochastic evolution equation. The stochastic noise represents short-wavelength modes that continually redshift into…

High Energy Physics - Phenomenology · Physics 2022-02-23 Jens O. Andersen , Magdalena Eriksson , Anders Tranberg

QCD evolution equations that naturally include longitudinal (non-propagating) fields and heavy quarks are derived. We start with the integral equations of quantum field kinetics and obtain the master equations, similar to DGLAP evolution…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Makhlin , E. Surdutovich

We study higher-order small-noise fluctuation expansions for the overdamped Langevin dynamics in a quartic double-well potential. Assuming that the initial data admits a suitable expansion structure, we obtain a strong dynamical expansion…

Probability · Mathematics 2026-04-07 Lin Wang , Zhengyan Wu

In a previous work [arXiv:1009.4363], we have studied the evolution of a scalar field with a quartic coupling, driven by a classical source that initializes it to a non-perturbatively large value. At leading order in the coupling, the…

High Energy Physics - Phenomenology · Physics 2015-05-28 T. Epelbaum , F. Gelis

The evolution of non-hydrodynamic slow processes near the QCD critical point is explored with the novel Hydro+ framework, which extends the conventional hydrodynamic description by coupling it to additional explicitly evolving slow modes…

Nuclear Theory · Physics 2020-12-01 Lipei Du , Ulrich Heinz , Krishna Rajagopal , Yi Yin

The evolution of a heavy ion collision passes close to the O(4) critical point of QCD, where fluctuations of the order parameter are expected to be enhanced. Using the appropriate stochastic hydrodynamic equations in mean field near the the…

Nuclear Theory · Physics 2022-02-16 Alexander Soloviev

Enhanced fluctuations and correlations have been observed in the phase transitions of many systems. Their appearance at the predicted QCD phase transition (especially near the expected critical point) may provide insight into the nature of…

Nuclear Experiment · Physics 2015-03-17 Terence J Tarnowsky

Recent progress in understanding general properties of high energy scattering near the unitarity limit, where high density gluon components of the wavefunction are dominant, is reviewed. The similarity of the QCD problem and that of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. H. Mueller

The high-energy quark-quark scattering amplitude is calculated first in the case of scalar QCD, using Fradkin's approach to derive the scalar quark propagator in an external gluon field and computing it in the eikonal approximation. The…

High Energy Physics - Theory · Physics 2007-05-23 Enrico Meggiolaro

We consider the evolution and decay of Q-balls under the influence of quantum fluctuations. We argue that the most important effect resulting from these fluctuations is the modification of the effective potential in which the Q-ball…

High Energy Physics - Phenomenology · Physics 2014-05-06 Anders Tranberg , David J. Weir

The upper bounds for the rate of fluctuation growth of an observable in both open and closed quantum systems have been studied actively recently. In our recent work we showed that the rate of fluctuation growth for an observable in a closed…

Quantum Physics · Physics 2025-12-12 Newshaw Bahreyni , Paul M. Alsing , Carlo Cafaro , Walid Redjem , Christian Corda

We compute the heavy quark momentum diffusion coefficient using effective kinetic theory for a system going through bottom-up isotropization until approximate hydrodynamization. We find that when comparing the nonthermal diffusion…

High Energy Physics - Phenomenology · Physics 2025-06-25 Kirill Boguslavski , Aleksi Kurkela , Tuomas Lappi , Florian Lindenbauer , Jarkko Peuron

Propagating fronts arising from bistable reaction-diffusion equations are a purely deterministic effect. Stochastic reaction-diffusion processes also show front propagation which coincides with the deterministic effect in the limit of small…

Statistical Mechanics · Physics 2015-05-20 E. Khain , Y. T. Lin , L. M. Sander

The primordial nucleosinthesys of the element can be influenced by the transitions of phase that take place after the Big Bang, such as the QCD transition. In order to study the effect of this phase transition, in this work we compute the…

High Energy Physics - Phenomenology · Physics 2015-06-18 G. L. Guardo , V. Greco , M. Ruggieri

It is the aim of this talk to review our understanding of the high-energy limit of QCD, focussing, in particular, on recent theoretical developments. After a brief introduction, I will recall why the true high-energy limit of QCD scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hebecker

Fluctuations and noise may alter the behavior of dynamical systems considerably. For example, oscillations may be sustained by demographic fluctuations in biological systems where a stable fixed point is found in the absence of noise. We…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Richard P. Boland , Tobias Galla , Alan J. McKane

We outline theoretical ideas on the soft and hard dynamics of strong high-energy interactions and discuss promising directions for future high-energy experimental investigations including the ones which would allow one to reveal the…

High Energy Physics - Phenomenology · Physics 2015-06-25 L. Frankfurt , M. Strikman

We consider deeply inelastic scattering at very high energies in the saturation regime. The emerging picture corresponds to the propagation of a dipole, the quark-antiquark pair, in a shock wave color field of the target. We use the…

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

We discuss the interplay of low-x physics and QCD scaling violations by extending the unified approach describing inclusive structure functions and diffractive production in $\gamma* p$ interactions proposed in previous papers, to large…

High Energy Physics - Phenomenology · Physics 2013-05-29 Nestor Armesto , Alexei B. Kaidalov , Carlos A. Salgado , Konrad Tywoniuk

We propose a stochastic particle model in (1+1)-dimensions, with one dimension corresponding to rapidity and the other one to the transverse size of a dipole in QCD, which mimics high-energy evolution and scattering in QCD in the presence…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Iancu , J. T. de Santana Amaral , G. Soyez , D. N. Triantafyllopoulos