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We perform an analysis of the one- and two-loop massive quark form factor in QED in a region expansion, up to next-to-leading power in the quark mass. This yields an extensive set of regional integrals, categorized into three topologies,…

High Energy Physics - Phenomenology · Physics 2024-04-09 Jaco ter Hoeve , Eric Laenen , Coenraad Marinissen , Leonardo Vernazza , Guoxing Wang

In [Fleurat, Salvy 2024], we introduced a model of block-weighted random maps that undergoes a phase transition as the density of separating elements changes. The purpose of this note is to demonstrate that the methodology we developed can…

Probability · Mathematics 2024-06-13 Zéphyr Salvy

Motivated by the search for the QCD critical point, we discuss how to obtain the singular behavior of a thermodynamic system near a critical point, namely the Lee-Yang singularities, from a limited amount of local data generated in a…

High Energy Physics - Theory · Physics 2022-05-18 Gokce Basar , Gerald Dunne , Zelong Yin

We revisit the phase structure and thermodynamics of QCD in the low temperature and high density region, where a strong, first-order phase transition is expected beyond the critical end point. By solving the quark gap equation in the…

High Energy Physics - Phenomenology · Physics 2026-02-10 Yi Lu , Fei Gao , Yu-xin Liu

The cluster distributions of different systems are examined to search for signatures of a continuous phase transition. In a system known to possess such a phase transition, both sensitive and insensitive signatures are present; while in…

Nuclear Experiment · Physics 2009-10-31 J. B. Elliott , the EOS Collaboration

At temperatures well above the transition, QCD admits a thermally reduced version in 3D, which reproduces the long distance physics. We analyze the phase diagram, point out the relevance of Z(3) symmetry in the location of the transition…

High Energy Physics - Lattice · Physics 2007-05-23 Ph. Boucaud , C. P. Korthals Altes

The present knowledge of the QCD phase diagram based on simulations of lattice QCD is summarised. The main questions are whether there is a critical point in the QCD phase diagram and whether it is related to a chiral phase transition. It…

High Energy Physics - Phenomenology · Physics 2011-11-24 Owe Philipsen

We study the phase structure of QCD in the $T-\mu$ plane using a histogram method and the reweighting technique by performing phase quenched simulations of two-flavor QCD with RG-improved gauge action and O($a$) improved Wilson quark…

High Energy Physics - Lattice · Physics 2012-12-06 Yoshiyuki Nakagawa , Sinya Aoki , Shinji Ejiri , Tetsuo Hatsuda , Kazuyuki Kanaya , Hiroshi Ohno , Hana Saito , Takashi Umeda

Lattice QCD with Wilson fermions generically shows the phenomenon of a first order phase transition. We study the phase structure of lattice QCD using Wilson twisted mass fermions and the Wilson plaquette gauge action are used in a range of…

High Energy Physics - Lattice · Physics 2009-11-11 F. Farchioni , K. Jansen , I. Montvay , E. E. Scholz , L. Scorzato , A. Shindler , N. Ukita , C. Urbach , U. Wenger , I. Wetzorke

Quantum chromodymamics (QCD) approach to the problem of multiplicity distributions in high energy particle collisions is described. The solutions of QCD equations for generating functions of the multiplicity distributions in gluon and quark…

High Energy Physics - Phenomenology · Physics 2010-12-17 I. M. Dremin

It is shown that the ratio of factorial cumulant moments to factorial moments for a multiplicity distribution truncated in the tail reveals oscillations in sign similar to those observed in experimental data. It is suggested that this…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Ugoccioni , A. Giovannini , S. Lupia

We study the QCD phase diagram by first principle lattice calculations at so far unreached high densities. For this purpose we employ the density of states method. Unimproved staggered fermions, which describe four quark flavors in the…

High Energy Physics - Lattice · Physics 2010-10-27 Zoltan Fodor , Sandor D. Katz , Christian Schmidt

As part of an ongoing effort to characterize the high temperature phase of QCD, in a numerical simulation using the staggered fermion scheme, we measure the quark baryon density in the vicinity of a fixed test quark at high temperature and…

High Energy Physics - Lattice · Physics 2008-11-26 Claude Bernard , Thomas A. DeGrand , Carleton DeTar , Steven Gottlieb , Alex Krasnitz , Robert L. Sugar , Douglas Toussaint

Using a unified hadron-quark effective model for the QCD equation of state, this paper studies the phase structure of strongly interacting matter in a wide range of temperature and baryonchemical potential. At small potentials the model…

High Energy Physics - Phenomenology · Physics 2013-08-22 Philip Rau , Jan Steinheimer , Stefan Schramm

The organization of high-dimensional probability spaces is a fundamental problem at the intersection of statistical physics and information theory. Here, we analyze the distributions populating level surfaces of the probability simplex…

Statistical Mechanics · Physics 2026-05-12 Bautista Arenaza , Sebastián Risau-Gusman , Inés Samengo , Damián G. Hernández

We apply a random matrix model to the study of the phase diagram of QCD with two colors, two flavors, and a small quark mass. Although the effects of temperature are only included schematically, this model reproduces most of the ground…

High Energy Physics - Phenomenology · Physics 2016-09-06 Benoit Vanderheyden , A. D. Jackson

In preliminary analysis of control charts, one may encounter multiple shifts and/or outliers especially with a large number of observations. The following paper addresses this problem. A statistical model for detecting and estimating…

Applications · Statistics 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

A lattice boson model is used to study ordering phenomena in regular 2D array of superconductive mesoscopic granules, Josephson junctions or pores filled with a superfluid helium. Phase diagram of the system, when quantum fluctuations of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , S. A. Verzakov , Yu. E. Lozovik

We use a simplified model which is based on the same physics as inherent in most statistical models for nuclear multifragmentation. The simplified model allows exact calculations for thermodynamic properties of systems of large number of…

Nuclear Theory · Physics 2008-11-26 S. Das Gupta , A. Z. Mekjian

The phase space of an area-preserving map typically contains infinitely many elliptic islands embedded in a chaotic sea. Orbits near the boundary of a chaotic region have been observed to stick for long times, strongly influencing their…

Chaotic Dynamics · Physics 2016-12-28 Or Alus , Shmuel Fishman , James D. Meiss