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As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

We study the Green's function of a gauge invariant fermionic operator in a strongly coupled field theory at nonzero temperature and density using a dual gravity description. The gravity model contains a charged black hole in four…

High Energy Physics - Theory · Physics 2012-06-27 Christopher P. Herzog , Jie Ren

In relativistic quantum field theory particles of half-integer spin must obey Fermi-Dirac statistics. Their quantum operators must anticommute at spacelike separation in contrast to commuting physical observables. We show that Fermi-Dirac…

High Energy Physics - Theory · Physics 2018-08-21 Adam Bednorz

We define the three-body scattering hypervolume $D_F$ for identical spin-polarized fermions in two dimensions, by considering the wave function of three such fermions colliding at zero energy and zero orbital angular momentum. We derive the…

Quantum Gases · Physics 2022-08-31 Zipeng Wang , Shina Tan

We examine the process of Deep Inelastic Scattering (DIS) in the small-x limit, where Pomeron exchange dominates. Using the AdS/CFT correspondence, we study Pomeron exchange in the dual string theory in AdS space, which allows us to study…

High Energy Physics - Phenomenology · Physics 2012-04-03 Richard C. Brower , Marko Djurić , Ina Sarčević , Chung-I Tan

We investigate deep inelastic scattering off the polarized "neutron" using gauge/string duality. The "neutron" corresponds to a supergravity mode of the neutral dilatino. Through introducing the Pauli interaction term into the action in…

High Energy Physics - Phenomenology · Physics 2014-11-20 Jian-Hua Gao , Zong-Gang Mou

In a previous work [arXiv1905.01121] we have derived a quantum master equation for the dynamics of a scalar bosonic particle interacting with a weak, stochastic and classical gravitational field. As standard matter is made of fermions, such…

Quantum Physics · Physics 2021-07-21 Lorenzo Asprea , Giulio Gasbarri

We consider deep inelastic scattering (DIS) on a dense nucleus described as an extremal RN-AdS black hole with holographic quantum fermions in the bulk. We evaluate the 1-loop fermion contribution to the R-current on the charged black hole,…

High Energy Physics - Theory · Physics 2020-03-25 Kiminad A. Mamo , Ismail Zahed

We consider various integrable two-parameter deformations of the $AdS_3 \times S^3 \times T^4$ superstring with quantum group symmetry. Working on the string worldsheet in light-cone gauge and to quadratic order in fermions, we obtain their…

High Energy Physics - Theory · Physics 2021-10-04 Fiona K. Seibold , Stijn J. van Tongeren , Yannik Zimmermann

We review in detail the derivation of the dielectric response function of a noninteracting system of spin-1/2 fermions in the random-phase approximation. Results for the response function of a Fermi gas in one, two and three dimensions can…

Quantum Gases · Physics 2011-11-24 Bogdan Mihaila

Using a perturbative model for diffractive interactions, we derive an expression for the polarized diffractive structure function $g_1^D$ in the high energy limit. This structure function is given by the interference of diffractive…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. Bartels , T. Gehrmann , M. G. Ryskin

We establish the relationship between distribution and fragmentation functions and the structure functions appearing in the cross section of polarized 1-particle inclusive deep-inelastic scattering. We present spectator model evaluations of…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Bacchetta , S. Boffi , R. Jakob

The effects of randomness and dimerization on the spin-1/2 XX chain are studied by a mapping to free fermions. Results are presented for the transverse and longitudinal components of the average and typical spin and string correlation…

Disordered Systems and Neural Networks · Physics 2009-10-30 P. Henelius , S. M. Girvin

The properties of the strongly interacting edge states of two dimensional topological insulators in the presence of two particle backscattering are investigated. We find an anomalous behavior of the density-density correlation functions,…

Strongly Correlated Electrons · Physics 2015-11-18 N. Traverso Ziani , F. Crépin , B. Trauzettel

We study high-energy scattering at fixed angle in the planar limit of non-Abelian gauge field theories from type IIB superstring theory scattering amplitudes. Firstly, we consider four-glueball scattering described in terms of the…

High Energy Physics - Theory · Physics 2024-12-12 Lucas Martin , Martin Parlanti , Martin Schvellinger

We study the Bjorken `x' (or equivalently Nachtmann `xi') dependence of the virtual photon spin asymmetry in polarized deep inelastic scattering of electrons from hadrons. We use an exactly solved relativistic potential model of the hadron,…

Nuclear Theory · Physics 2014-11-18 Vijay R. Pandharipande , Mark W. Paris , Ingo Sick

We consider the nonequilibrium dynamics of an interacting spin-1/2 fermion gas in a one-dimensional optical lattice after switching off the confining potential. In particular, we study the creation and the time evolution of spatially…

Quantum Gases · Physics 2013-05-31 Stefan Kessler , Ian P. McCulloch , Florian Marquardt

In recent work, N=2 supersymmetry has been proposed as a tool for the analysis of itinerant, correlated fermions on a lattice. In this paper we extend these considerations to the case of lattice fermions with spin 1/2 . We introduce a model…

Strongly Correlated Electrons · Physics 2009-11-11 Raoul Santachiara , Kareljan Schoutens

We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In a first part, we calculate the spin-wave velocity, the spin-stiffness, and the magnetic…

Strongly Correlated Electrons · Physics 2009-05-16 Andreas Luscher , Andreas Laeuchli

We present the results of the computation of the third order corrections to the ground state energy of the diluted polarized gas of nonrelativistic spin $1/2$ fermions interacting through a spin-independent repulsive two-body potential. The…

Quantum Gases · Physics 2023-12-06 Piotr H. Chankowski , Jacek Wojtkiewicz , Rashad Bakhshizada