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In this paper we implement Schwinger-Keldysh closed-time path integral formalism in non-equilibrium QCD to the definition of Collins-Soper fragmentation function. We consider a high p_T parton in QCD medium at initial time t_0 with…

High Energy Physics - Phenomenology · Physics 2014-11-18 Gouranga C Nayak

Systematic use of the infinite-dimensional spin representation simplifies and rigorizes several questions in Quantum Field Theory. This representation permutes ``Gaussian'' elements in the fermion Fock space, and is necessarily projective:…

High Energy Physics - Theory · Physics 2010-11-01 Jose M. Gracia-Bondia , Joseph C. Varilly

We carry out a comprehensive study of the quark-to-meson fragmentation function in the 't Hooft model, i.e., the two-dimensional Quantum Chromodynamics (QCD) in $N_c\to \infty$ limit, following the operator definition pioneered by Collins…

High Energy Physics - Phenomenology · Physics 2023-10-27 Yu Jia , Zhewen Mo , Xiaonu Xiong

In this paper we prove factorization of fragmentation function in non-equilibrium QCD by using Schwinger-Keldysh closed-time path integral formalism. We use the background field method of QCD in a pure gauge in path integral approach to…

High Energy Physics - Phenomenology · Physics 2010-02-11 Gouranga C Nayak

We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a…

Mathematical Physics · Physics 2013-08-26 Jonas de Woul , Edwin Langmann

We demonstrate that a quantum field theory (QFT) in general two-dimensional curved spacetimes can be realized by a system of quantum spins or qubits. We consider a spin-1/2 model on a one-dimensional ring with spatially and temporally…

High Energy Physics - Theory · Physics 2025-05-28 Shunichiro Kinoshita , Keiju Murata , Daisuke Yamamoto , Ryosuke Yoshii

This paper is concerned with exponential moments of integral-of-quadratic functions of quantum processes with canonical commutation relations of position-momentum type. Such quadratic-exponential functionals (QEFs) arise as robust…

Quantum Physics · Physics 2021-03-18 Igor G. Vladimirov , Ian R. Petersen , Matthew R. James

We present a general derivation of semi-fermionic representation for spin operators in terms of a bilinear combination of fermions in real and imaginary time formalisms. The constraint on fermionic occupation numbers is fulfilled by means…

Strongly Correlated Electrons · Physics 2009-11-11 M. N. Kiselev

In this paper, the massless Schwinger model or two dimensional quantum electrodynamics is exactly solved on a Riemann surface. The partition function and the generating functional of the correlation functions involving the fermionic…

High Energy Physics - Theory · Physics 2011-08-11 Franco Ferrari

We demonstrate a method that merges the quantum filter diagonalization (QFD) approach for hybrid quantum/classical solution of the time-independent electronic Schr\"odinger equation with a low-rank double factorization (DF) approach for the…

Quantum Physics · Physics 2022-03-21 Jeffrey Cohn , Mario Motta , Robert M. Parrish

In this paper we use the conformal properties of the spinor field to show how we can obtain the fermion quasi-normal modes for a higher dimensional Schwarzschild black hole. These modes are of interest in so called split fermion models,…

High Energy Physics - Theory · Physics 2008-11-26 H. T. Cho , A. S. Cornell , Jason Doukas , Wade Naylor

We derive a path-integral Schwinger-Keldysh approach for quantum spin systems. This is achieved by means of a semionic representation of spins as fermions with imaginary chemical potential. The major simplifying feature in comparison with…

Strongly Correlated Electrons · Physics 2009-10-31 M. N. Kiselev , R. Oppermann

We use Schwinger's formula, introduced by himself in the early fifties to compute effective actions for QED, and recently applied to the Casimir effect, to obtain the partition functions for both the bosonic and fermionic harmonic…

High Energy Physics - Theory · Physics 2008-02-03 L. C. Albuquerque , C. Farina , S. J. Rabello

The quark determinant in the presence of a background gluon field is calculated in a large quark mass approach within a derivative expansion by considering quark sources. The resulting low-energy QCD Effective Field Theory (EFT) is valid…

High Energy Physics - Phenomenology · Physics 2025-09-03 Igor de M. Froldi , Fabio L. Braghin

We derive the functional Schrodinger equation for quantum fields in curved spacetime in the semiclassical limit of quantum geometrodynamics with a Gaussian incoherent dust acting as a clock field. We perform the semiclassical limit using a…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Marcello Rotondo

We present a variational method for deriving relativistic two-fermion wave equations in a Hamiltonian formulation of QED. A reformulation of QED is performed, in which covariant Green functions are used to solve for the electromagnetic…

High Energy Physics - Theory · Physics 2009-11-10 Andrei G. Terekidi , Jurij W. Darewych

We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations,…

High Energy Physics - Theory · Physics 2009-10-31 David Nolland , Paul Mansfield

We consider a reformulation of QED in which covariant Green functions are used to solve for the electromagnetic field in terms of the fermion fields. The resulting modified Hamiltonian contains the photon propagator directly. A simple…

High Energy Physics - Phenomenology · Physics 2015-06-25 Andrei G. Terekidi , Jurij W. Darewych

Using the Drell-Levy-Yan relation, the pion and kaon elementary fragmentation functions (EFFs) are obtained from their hadron-scale parton distribution functions (DFs). These EFFs serve as driving terms in the hadron cascade equations,…

High Energy Physics - Phenomenology · Physics 2026-03-25 Hui-Yu Xing

In this paper, we try to give a new approach to the quantum mechanics(QM) on the framework of quantum field theory(QFT). Firstly, we make a detail study on the (non-relativistic) Schr\"odinger field theory, obtaining the Schr\"odinger…

General Physics · Physics 2013-02-18 Yulei Feng
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