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Fluctuation and dissipation dynamics is examined at all temperature ranges for the general case of a background time evolving scalar field coupled to heavy intermediate quantum fields which in turn are coupled to light quantum fields. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arjun Berera , Ian G. Moss , Rudnei O. Ramos

It has been reported recently that the equipartition theorem is violated in molecular dynamics simulations with periodic boundary condition [Shirts et al, J. Chem. Phys. 125, 164102 (2006)]. This effect is associated with the conservation…

Statistical Mechanics · Physics 2015-06-12 Nima H. Siboni , Dierk Raabe , Fathollah Varnik

A continuum grain boundary model is developed that uses experimentally measured grain boundary energy data as a function of misorientation to simulate idealized grain boundary evolution in a 1-D grain array. The model uses a continuum…

Materials Science · Physics 2024-01-29 Syed Ansari , Amit Acharya , Alankar Alankar

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

The following lectures are an introduction to the phenomena of partonic saturation and nonlinear evolution equations in Quantum Chromodynamics. After a short introduction to the linear evolution, the problems of unitarity bound and parton…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. M. Stasto

We study, to all orders in perturbative QCD, the universal behavior of the saturation momentum $Q_s(L)$ controlling the transverse momentum distribution of a fast parton propagating through a dense QCD medium with large size $L$. Due to the…

High Energy Physics - Phenomenology · Physics 2023-07-26 Paul Caucal , Yacine Mehtar-Tani

We analyze the general nonlinear evolution equations for multi gluon correlators derived in hep-ph/9709432 by restricting ourselves to a double logarithmic region. In this region our evolution equation becomes local in transverse momentum…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jamal Jalilian-Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert

This study explores the impact of cosmic curvature on structure formation through general relativistic first-order perturbation theory. We analyze continuity and Euler equations, incorporating cosmic curvature into Einstein equations.…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-29 Bikash R. Dinda

We apply a previously developed scheme to consistently include the improved saturation model for the unintegrated gluon distribution (UGD) in order to evaluate, in the framework of $k_{t}$ factorization, at small $x$ at the next-to-leading…

High Energy Physics - Phenomenology · Physics 2023-08-29 G. R. Boroun

We study a nonlinear recombination model from population genetics as a combinatorial version of the Kac-Boltzmann equation from kinetic theory. Following Kac's approach, the nonlinear model is approximated by a mean field linear evolution…

Probability · Mathematics 2024-12-24 Pietro Caputo , Daniel Parisi

We discuss the definition and the energy evolution of scattering amplitudes with $C$-odd ("odderon") quantum numbers within the effective theory for the Color Glass Condensate (CGC) endowed with the functional, JIMWLK, evolution equation.…

High Energy Physics - Phenomenology · Physics 2011-01-25 Y. Hatta , E. Iancu , K. Itakura , L. McLerran

QCD jets produced in heavy-ion collisions at LHC or RHIC energies partially evolve inside the produced hot and dense quark gluon plasma, offering unique opportunities to study QCD splitting processes in different backgrounds. Induced…

High Energy Physics - Phenomenology · Physics 2021-06-17 João Barata , Fabio Domínguez , Carlos Salgado , Víctor Vila

The parameter $f_{\textrm{NL}}$ measures the local non-Gaussianity in the primordial energy fluctuations of the Universe, with any deviation from $f_{\textrm{NL}}=0$ providing key constraints on inflationary models. Galaxy clustering is…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-06 Lucia A. Perez , Shy Genel , Elisabeth Krause , Rachel S. Somerville

The physics of gluon saturation and non-linear evolution at small values of parton momentum fraction x in the proton and nucleus is discussed in the context of experimental results at HERA and RHIC. The rich physics potential of low-x QCD…

High Energy Physics - Experiment · Physics 2008-11-26 David d'Enterria

It is known that the unregularized expressions for the stress-energy tensor components corresponding to subhorizon and superhorizon vacuum fluctuations of a massless scalar field in a Friedmann-Robertson-Walker background are characterized…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Ali Kaya

Quantum properties of the state associated to the gluon Green's function in the BFKL approach are studied using a discretization in virtuality space. Considering the coupling constant as imaginary, its density matrix corresponds to a pure…

High Energy Physics - Theory · Physics 2023-12-29 G. Chachamis , M. Hentschinski , A. Sabio Vera

We describe Stochastic Loewner Evolution on arbitrary Riemann surfaces with boundary using Conformal Field Theory methods. We propose in particular a CFT construction for a probability measure on (clouded) paths, and check it against known…

High Energy Physics - Theory · Physics 2010-04-05 Roland Friedrich , Jussi Kalkkinen

Uncertainty quantification is essential in safety-critical settings--from autonomous driving to aviation, finance, and health--where decisions must rely on conservative bounds rather than point estimates. Predictor-level intervals (e.g.,…

Machine Learning · Computer Science 2026-05-18 Ruirui Liu , Xuejie Hou , Yiping Jiang , Hui Ren

We investigate classes of shear-free cosmological dust models with irrotational fluid flows within the framework of $f(T)$ gravity. In particular, we use the $1 + 3$ covariant formalism and present the covariant linearised evolution and…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Heba Sami , Shambel Sahlu , Amare Abebe , Peter K. S. Dunsby

We show that the saturation exponent is more effective than the hard pomeron exponent in the nonlinear terms for the GLR-MQ evolution equations. For the gluon distribution the nonlinear terms are found to play an increasingly important role…

High Energy Physics - Phenomenology · Physics 2023-08-01 G. R. Boroun