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Logarithmic corrections to the entropy of extremal black holes have proven effective in precisely matching the microscopic degeneracies obtained from string-theoretic as well as a non-perturbative quantum correction manifests as an…

High Energy Physics - Theory · Physics 2025-04-23 Ankit Anand

We calculate the QED corrections to deep inelastic scattering with tagged photons at HERA in the leading logarithmic approximation. Due to the special experimental setup, two large scales appear in the calculation that lead to two large…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Anlauf , A. B. Arbuzov , E. A. Kuraev , N. P. Merenkov

The geometric Brownian motion (GBM) is widely employed for modeling stochastic processes, yet its solutions are characterized by the log-normal distribution. This comprises predictive capabilities of GBM mainly in terms of forecasting…

Data Analysis, Statistics and Probability · Physics 2024-03-19 Rishabh Gupta , Ewa A. Drzazga-Szczȩśniak , Sabre Kais , Dominik Szczȩśniak

In this paper, we have constructed quantum effective potentials and used them to study slow-roll inflationary cosmology. We derived the generalised RG equation for the effective potential in the leading logarithmic approximation and applied…

High Energy Physics - Theory · Physics 2023-08-17 D. I. Kazakov , R. M. Iakhibbaev , D. M. Tolkachev

The computation of one-loop corrections to the $\gamma^\star Q_+ q$ and $gR_+g$ effective vertices in the framework of gauge-invariant effective theory for Multi-Regge processes in QCD is reviewed. Due to consistent implementation of the…

High Energy Physics - Phenomenology · Physics 2019-05-29 Maxim Nefedov

We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and…

High Energy Physics - Theory · Physics 2016-12-20 Olivier Blondeau-Fournier , Olalla A. Castro-Alvaredo , Benjamin Doyon

In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Luscher corrections. We derive analytically the integrand using the…

High Energy Physics - Theory · Physics 2015-06-11 Zoltan Bajnok , Romuald A. Janik

We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view.…

High Energy Physics - Theory · Physics 2010-02-03 Alejandra Castro , Joshua L. Davis , Per Kraus , Finn Larsen

We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a…

High Energy Physics - Theory · Physics 2020-09-25 J. Angel-Ramelli , C. Berthiere , V. Giangreco M. Puletti , L. Thorlacius

The Kitaev toric code is widely considered one of the leading candidates for error correction in fault-tolerant quantum computation. However, direct methods to increase its logical dimensions, such as lattice surgery or introducing…

Quantum Physics · Physics 2025-10-09 Zijian Liang , Ke Liu , Hao Song , Yu-An Chen

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results…

Statistical Mechanics · Physics 2015-06-22 J. C. Xavier , F. B. Ramos

We review the current status of perturbative corrections in QCD at four loops for scattering processes with space- and time-like kinematics at colliders, with specific focus on deep-inelastic scattering and electron-positron annihilation.…

High Energy Physics - Phenomenology · Physics 2021-04-19 S. Moch , V. Magerya

Various studies have explored the possibility of explaining the Bekenstein-Hawking (black hole) entropy by way of some suitable state-counting procedure. Notably, many of these treatments have used the well-known Cardy formula as an…

High Energy Physics - Theory · Physics 2009-11-07 A. J. M. Medved

The Loop Quantum Gravity (LQG) program is briefly reviewed and one of its main applications, namely the counting of black hole entropy within the framework is considered. In particular, recent results for Planck size black holes are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Jacobo Diaz-Polo , Enrique Fernandez-Borja

We compute the canonical partition for quantum black holes in the approach of Loop Quantum Gravity (LQG). We argue that any quantum theory of gravity in which the horizon area is built of non-interacting constituents cannot yield…

General Relativity and Quantum Cosmology · Physics 2012-06-25 Kinjalk Lochan , Cenalo Vaz

We define a notion of `quantum entanglement index' with the aim to compute it for black hole horizons in string theory at one-loop order using the stringy replica method. We consider the horizon of BTZ black holes to construct the relevant…

High Energy Physics - Theory · Physics 2026-02-20 Atish Dabholkar , Eleanor Harris , Upamanyu Moitra

Higher order $(\alpha/\pi)^2 (Z \alpha)^6$ logarithmic corrections to the hydrogen Lamb shift are calculated. The results obtained show the two-loop contribution has a very peculiar behavior, and significantly alter the theoretical…

Atomic Physics · Physics 2009-11-06 Krzysztof Pachucki

We study the noncommutative corrections to the entropy of the Reissner-Nordstr\"{o}m black hole using a $\kappa$-deformed scalar probe within the brick-wall framework. The noncommutativity is encoded in an Abelian Drinfeld twist constructed…

High Energy Physics - Theory · Physics 2023-02-14 Kumar S. Gupta , Tajron Jurić , Anđelo Samsarov , Ivica Smolić

We elucidate the mismatch between the $A$-anomaly coefficient and the coefficient of the logarithmic term in the entanglement entropy of a Maxwell field. In contrast to the usual assumptions about the protection of renormalization group…

High Energy Physics - Theory · Physics 2020-04-08 Horacio Casini , Marina Huerta , Javier M. Magan , Diego Pontello

We compute 2-loop QCD corrections to the hard coefficient functions which arise in the factorization formula for B -> X_u l nu decays in the shape-function region. Our calculation provides the last missing piece required for a NNLO analysis…

High Energy Physics - Phenomenology · Physics 2009-02-23 Guido Bell