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New approach to computation of canonical partition functions in $N_f=2$ lattice QCD is presented. We compare results obtained by new method with results obtained by known method of hopping parameter expansion. We observe agreement between…

High Energy Physics - Lattice · Physics 2017-04-26 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

After presenting a survey of theoretical results concerning the structure of two-dimensional QCD, we present a numerical study related to the mass eigenstates and the decay amplitudes of higher mesonic states. We discuss in detail the fate…

High Energy Physics - Theory · Physics 2007-05-23 E. Abdalla , N. Alves

We consider the factorization properties of on-shell QCD amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities. The…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Moch , A. Mitov

We review the results of large scale simulations of noncompact quenched $QED$ which use spectrum and Equation of State calculations to determine the theory's phase diagram, critical indices, and continuum limit. The resulting anomalous…

High Energy Physics - Lattice · Physics 2009-10-22 Mp Lombardo , J. B. Kogut , A. Kocic , K. C. Wang

We investigate exclusive nonleptonic $B$ meson decays $B\to\phi K$ in perturbative QCD formalism. It is shown that the end-point (logarithmic and linear) singularities in decay amplitudes do not exist, after $k_T$ and threshold resummations…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chuan-Hung Chen , Yong-Yeon Keum , Hsiang-nan Li

A novel powerful mathematical method is presented, which allows us to find an analytical solution of a simplified version of the statistical multifragmentation model with the restriction that the largest fragment size cannot exceed the…

Nuclear Theory · Physics 2007-05-23 Kyrill A. Bugaev

The entropy per baryon is studied in the strong coupling large dimension $d$ limit of lattice QCD with staggered fermions. The partition function is calculated for non-zero chemical potential and temperature using the $1/d$ expansion. It is…

High Energy Physics - Lattice · Physics 2016-08-31 Neven Bilic , Jean Cleymans

We review the analysis of polarized structure function data using perturbative QCD at next-to-leading order. We use the most recent experimental data to obtain updated results for polarized parton distributions, first moments and the strong…

High Energy Physics - Phenomenology · Physics 2009-07-09 G. Altarelli , R. D. Ball , S. Forte , G. Ridolfi

We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density. We establish existence of weak energy solutions; uniqueness and nonuniqueness is studied as well, according with the behavior…

Analysis of PDEs · Mathematics 2013-02-04 Fabio Punzo , Gabriele Terrone

The distribution of canonical determinants in QCD is determined by means of chiral perturbation theory. For a non-zero quark charge the canonical determinants take complex values. In the dilute pion gas approximation, we compute all moments…

High Energy Physics - Lattice · Physics 2015-04-08 Andrei Alexandru , C. Gattringer , H. -P. Schadler , K. Splittorff , J. J. M. Verbaarschot

We overview recent theoretical developments in the search for QCD critical point at finite temperature and density, including from lattice QCD, effective QCD theories, and proton number cumulants in heavy-ion collisions. We summarize the…

Nuclear Theory · Physics 2023-12-18 Volodymyr Vovchenko

We study the general problem of the behaviour of the continuum function in the presence of non-supercompact strongly compact cardinals.

Logic · Mathematics 2019-01-21 Arthur W. Apter , Stamatis Dimopoulos , Toshimichi Usuba

The parametric error on the QCD-coupling can be a dominant source of uncertainty in several important observables. One way to extract the coupling is to compare high order perturbative computations with lattice evaluated moments of heavy…

High Energy Physics - Lattice · Physics 2023-01-25 Leonardo Chimirri

We develop a formalism for resumming threshold double logarithms that appear in fragmentation functions for production of heavy quarkonia. Threshold singularities appear in fixed-order calculations of quarkonium fragmentation functions in…

High Energy Physics - Phenomenology · Physics 2026-04-29 Hee Sok Chung , U-Rae Kim , Jungil Lee

Perturbative QCD has made significant progress over the last few decades. In the first part, we present an introductory overview of perturbative QCD as seen from a modern viewpoint. We explain the relation between purely perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-22 Y. Sumino

The regularities at large distances of complete gauge invariance in QCD are shown to bear nontrivial consequences for the selection among inequivalent representations of canonical commutation (anticommutation) rules for gauge boson (quark)…

High Energy Physics - Theory · Physics 2012-02-17 Peter Minkowski

Employing large deviation theory, we explore current fluctuations of underdamped Brownian motion for the paradigmatic example of a single particle in a one dimensional periodic potential. Two different approaches to the large deviation…

Statistical Mechanics · Physics 2018-03-12 Lukas P. Fischer , Patrick Pietzonka , Udo Seifert

QCD matter at finite temperature and density is a subject that has witnessed very impressive theoretical developments in the recent years. In this review I will discuss some new insights on the microscopic degrees of freedom of the QCD…

High Energy Physics - Lattice · Physics 2021-09-22 Sayantan Sharma

At sufficiently high temperature and density, quantum chromodynamics (QCD) predicts phase transition from the hadronic phase to the quark-gluon plasma phase. Lattice QCD is the most useful tool to investigate this critical phenomenon, which…

High Energy Physics - Phenomenology · Physics 2017-08-23 Xiang-Qian Luo , Eric B. Gregory , Shuo-Hong Guo , Helmut Kroger

The light-front quantization of gauge theories such as QCD in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky