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We perform a first calculation for the unpolarized parton distribution function of the $\Delta^+$ baryon using lattice QCD simulations within the framework of Large Momentum Effective Theory. Two ensembles of $N_f=2+1+1$ twisted mass…

Soft or collinear photon emission potentially poses numerical problems in the phase-space integration of radiative processes. In this paper, a general subtraction formalism is presented that removes such singularities from the integrand of…

High Energy Physics - Phenomenology · Physics 2010-04-06 Stefan Dittmaier

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Radyushkin

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

Statistical Mechanics · Physics 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

A new approach to group classification problems and more general investigations on transformational properties of classes of differential equations is proposed. It is based on mappings between classes of differential equations, generated by…

Mathematical Physics · Physics 2009-04-22 O. O. Vaneeva , R. O. Popovych , C. Sophocleous

The distribution of individual Dirac eigenvalues is derived by relating them to the density and higher eigenvalue correlation functions. The relations are general and hold for any gauge theory coupled to fermions under certain conditions…

High Energy Physics - Theory · Physics 2009-11-10 G. Akemann , P. H. Damgaard

In the systems of spin $\frac12$ fermions with resonant $S$-wave interactions supporting only weakly bound dimers the antisymmetry forbids recombination of three (or more) fermions at zero energy. However, the fermion-fermion-dimer…

Quantum Gases · Physics 2021-09-02 A. Deltuva

In this paper we continued our research of the uniform electron gas, using the single--momentum path integral Monte Carlo method, and studied the momentum distribution functions and the pair correlation functions in the warm dense matter…

Statistical Mechanics · Physics 2022-03-24 A. S. Larkin , V. S. Filinov , P. R. Levashov

We discuss the nature of phase transitions in self-gravitating systems both in the microcanonical and in the canonical ensemble. We avoid the divergence of the gravitational potential at short distances by considering the case of…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis

This paper introduces four matrix normal distributions on analytic bundles of flag varieties, extending the separable covariance $\varPhi \otimes \varPsi$ with potentially variable-level ($\varPsi$) and/or sample-level ($\varPhi$)…

Algebraic Geometry · Mathematics 2026-04-24 Haoming Wang

We generalize the recently introduced dual fermion (DF) formalism for disordered fermion systems by including the effect of interactions. For an interacting disordered system the contributions to the full vertex function have to be…

Strongly Correlated Electrons · Physics 2014-05-21 S. -X. Yang , P. Haase , H. Terletska , Z. Y. Meng , T. Pruschke , J. Moreno , M. Jarrell

We establish the convergences (with respect to the simulation time $t$; the number of particles $N$; the timestep $\gamma$) of a Moran/Fleming-Viot type particle scheme toward the quasi-stationary distribution of a diffusion on the…

Probability · Mathematics 2020-10-21 Lucas Journel , Pierre Monmarché

We investigate the density and optical responses of a linear triple component fermionic system in both non-interacting and interacting regimes by computing its dynamical polarization function, RPA dielectric function, plasmon mode and long…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Bashab Dey , Tarun Kanti Ghosh

The distribution of the phase angle and the magnitude of the fermion determinant as well as its correlations with the baryon number and the chiral condensate are studied for QCD at non zero quark chemical potential. Results are derived to…

High Energy Physics - Lattice · Physics 2014-11-18 M. P. Lombardo , K. Splittorff , J. J. M. Verbaarschot

The binomial acceptance correction procedure is studied for particle number distributions detected in high energy reactions in finite regions of the momentum space. We present acceptance correction formulas for scaled variance, skewness,…

High Energy Physics - Phenomenology · Physics 2020-03-25 Oleh Savchuk , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Mark I. Gorenstein

A series of detailed quantitative results is established for the family of demi-distributions which is a large extension of the family of usual distributions.

Functional Analysis · Mathematics 2022-07-11 Ronglu Li , Shuhui Zhong , Dohan Kim , Junde Wu

Let $\Mmm$ denote the set of $\mm$ matrices with complex entries, and let $\calG(\partial_1,...,\partial_n)$ be an $\mm$ matrix whose entries are partial differential operators on $\Rn$ with constant complex coefficients. It is proved that…

Analysis of PDEs · Mathematics 2011-12-01 Jan Kisyński

We derive functional equations for distributions of six classical statistics (ascents, descents, left-to-right maxima, right-to-left maxima, left-to-right minima, and right-to-left minima) on separable and irreducible separable…

Combinatorics · Mathematics 2024-04-30 Joanna N. Chen , Sergey Kitaev , Philip B. Zhang

We discuss the chiral symmetry restoration at high temperature and chemical potential for a four-fermion interaction theory in arbitrary dimensions ($2\leq D<4$). To investigate the ground state of the theory we calculate the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomohiro Inagaki

By considering momentum transfer in the Fermi constraint procedure, the stability of the initial nuclei and fragments produced in heavy-ion collisions can be further improved in the quantum molecular dynamics simulations. The case of the…

Nuclear Theory · Physics 2016-05-25 Ning Wang , Tong Wu , Jie Zeng , Yongxu Yang , Li Ou