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We consider discrete random fractal surfaces with negative Hurst exponent $H<0$. A random colouring of the lattice is provided by activating the sites at which the surface height is greater than a given level $h$. The set of activated sites…

Statistical Mechanics · Physics 2020-10-14 Nina Javerzat , Sebastian Grijalva , Alberto Rosso , Raoul Santachiara

We study charmonium correlators at finite temperature in quenched anisotropic lattice QCD. The smearing technique is applied to enhance the low energy part of the correlator. We use two analysis procedures: the maximum entropy method for…

High Energy Physics - Lattice · Physics 2009-11-07 K. Nomura , O. Miyamura , T. Umeda , H. Matsufuru

We analyze high-temperature series expansions of the two-point and four-point correlation-functions in the three-dimensional euclidean lattice scalar field theory with quartic self-coupling, which have been recently extended through…

High Energy Physics - Lattice · Physics 2009-11-11 P. Butera , M. Comi

A detailed investigation of the scaling properties of the fully finite ${\cal O}(n)$ systems with long-range interaction, decaying algebraically with the interparticle distance $r$ like $r^{-d-\sigma}$, below their upper critical dimension…

Statistical Mechanics · Physics 2009-10-31 H. Chamati , N. S. Tonchev

We prove a spectral upper bound for the torsion function of symmetric stable processes that holds for convex domains in $\mathbb{R}^d$. Our bound is explicit and captures the correct order of growth in $d$, improving upon the existing…

Probability · Mathematics 2021-10-19 Hugo Panzo

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin

When a top quark decays there is a large amount of angular correlation, in its rest frame, between its spin orientation and the direction of flight of the charged lepton from its decay. In this letter we investigate the prospects of…

High Energy Physics - Phenomenology · Physics 2009-10-20 Patrick Motylinski

The spectral and localization properties of $\mathcal{PT}$-symmetric optical superlattices, either infinitely extended or truncated at one side, are theoretically investigated, and the criteria that ensure a real energy spectrum are…

Quantum Physics · Physics 2015-06-18 Stefano Longhi

Numerous papers have appeared recently showing fits to transverse momentum ($p_T$) spectra measured at the Large Hadron Collider (LHC) in proton - proton collisions.This talk focuses on the fits extending to very large values of the…

High Energy Physics - Phenomenology · Physics 2017-03-08 J. Cleymans

We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large…

High Energy Physics - Theory · Physics 2021-12-08 Hare Krishna , D. Rodriguez-Gomez

We study heavy-light four-point function by employing Lorentzian inversion formula, where the conformal dimension of heavy operator is as large as central charge $C_T\rightarrow\infty$. We implement the Lorentzian inversion formula back and…

High Energy Physics - Theory · Physics 2020-08-26 Yue-Zhou Li

The transverse momentum spectra and their multiplicity dependence serve as key tools for extracting parameters to be compared with theoretical models. Over the past decade, the scientific community has extensively studied the possibility of…

High Energy Physics - Phenomenology · Physics 2025-06-23 Gábor Bíró , Leonid Serkin , Guy Paić , Gergely Gábor Barnaföldi

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

High Energy Physics - Theory · Physics 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

Using $U_q[SU(2)]$ tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground-state give the two-point correlation functions. The TPSOs are identified as elements of the Temperley-Lieb algebra and a…

High Energy Physics - Theory · Physics 2009-10-22 H. Hinrichsen , P. P. Martin , V. Rittenberg , M. Scheunert

Extensive Monte Carlo study of two-dimensional Ising model is done to investigate the statistical behavior of spin clusters and interfaces as a function of temperature, $T$. We use a \emph{tie-breaking} rule to define interfaces of spin…

Statistical Mechanics · Physics 2009-07-17 A. A. Saberi

Final states in collider experiments are characterized by correlation functions, $\langle E(\vec n_1) \cdots E(\vec n_k) \rangle$, of the energy flow operator $ E(\vec n_i)$. We show that the top quark imprints itself as a peak in the…

High Energy Physics - Phenomenology · Physics 2023-07-18 Jack Holguin , Ian Moult , Aditya Pathak , Massimiliano Procura

We derive, from conformal invariance and quantum gravity, the multifractal spectrum f(alpha,c) of the harmonic measure (or electrostatic potential, or diffusion field) near any conformally invariant fractal in two dimensions, corresponding…

Statistical Mechanics · Physics 2016-08-31 Bertrand Duplantier

The thermal evolution of the spectral densities derivable from the two-point functions of the elementary and the quadratic composite fields of the O(N) model is studied in the isosinglet channel and in the broken symmetry phase at infinite…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Patkos , Zs. Szep , P. Szepfalusy

We present a perturbative calculation of finite-size effects near $T_c$ of the $\phi^4$ lattice model in a $d$-dimensional cubic geometry of size $L$ with periodic boundary conditions for $d > 4$. The structural differences between the…

Statistical Mechanics · Physics 2015-06-25 X. S. Chen , V. Dohm

We analyze the constraints on the general form and the singularity structure of the correlation functions of the symmetric, traceless and conserved stress-energy tensor implied by conformal invariance and higher spin symmetry in four…

High Energy Physics - Theory · Physics 2015-06-16 Yassen S. Stanev
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