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Relativistic Hamiltonians, derived from the path integrals, are known to provide a simple and useful formalism for hadrons spectroscopy in QCD. The accuracy of this approach is tested using the QED systems, and the calculated spectrum is…

High Energy Physics - Phenomenology · Physics 2015-06-18 Yu. A. Simonov

The equation of state of QCD at finite temperatures and baryon densities has a wide range of applications in many fields of modern particle and nuclear physics. It is the main ingredient to describe the dynamics of experimental heavy ion…

High Energy Physics - Lattice · Physics 2015-06-05 Owe Philipsen

We present an analytic approach to solving 1+1 dimensional QCD with an adjoint Majorana fermion. In the UV this theory is described by a trivial CFT containing free fermions. The quasi-primary operators of this CFT lead to a discrete basis…

High Energy Physics - Theory · Physics 2015-06-17 Emanuel Katz , Gustavo Marques Tavares , Yiming Xu

N-Reggeized gluon states in Quantum Chromodynamics are described by BKP equation. In order to solve this equation for N>3 particles the Q-Baxter operator method is used. Spectrum of the integrals of motion of the system exhibits a…

High Energy Physics - Theory · Physics 2007-05-23 Jan Kotanski

We examine the Dyson-Schwinger equation for the fermion propagator in quenched QED in three and four dimension based on spectral representation with vertex ansatz which preserves Ward-Takahashi Identity.An appropriate renormalization within…

High Energy Physics - Theory · Physics 2007-05-23 Y. Hoshino

The Bethe-Salpeter equation in non-commutative QED (NCQED) is considered for three-body bound state. We study the non-relativistic limit of this equation in the instantaneous approximation and derive the corresponding Schr\"{o}dinger…

High Energy Physics - Theory · Physics 2009-11-07 M. Haghighat , F. Loran

We summarize recent progress in soft QCD modeling based on the set of Dyson--Schwinger equations truncated to ladder-rainbow level. This covariant approach to hadron physics accommodates quark confinement and implements the QCD one-loop…

Nuclear Theory · Physics 2009-11-10 Peter C. Tandy

We consider a system of ultracold atoms in an optical lattice as a quantum simulator for electron-positron pair production in quantum electrodynamics (QED). For a setup in one spatial dimension, we investigate the nonequilibrium phenomenon…

Quantum Gases · Physics 2016-08-09 V. Kasper , F. Hebenstreit , M. Oberthaler , J. Berges

A thermodynamic T-matrix approach for elastic 2-body interactions is employed to calculate spectral functions of open and hidden heavy-quark systems in the Quark-Gluon Plasma. This enables the evaluation of quarkonium bound-state properties…

High Energy Physics - Phenomenology · Physics 2014-11-21 F. Riek , R. Rapp

We extend to regular QCD the derivation of a confining $ q \bar{q}$ Bethe--Salpeter equation previously given for the simplest model of scalar QCD in which quarks are treated as spinless particles. We start from the same assumptions on the…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Brambilla , E. Montaldi , G. M. Prosperi

We use coherent states as trial states for a variational approach to study a system of a finite number of three-level atoms interacting in a dipolar approximation with a one-mode electromagnetic field. The atoms are treated as…

Quantum Physics · Physics 2018-06-20 L. F. Quezada , E. Nahmad-Achar

We study the QED bound-state problem in a light-front hamiltonian approach. Starting with a bare cutoff QED Hamiltonian, $H_{_{B}}$, with matrix elements between free states of drastically different energies removed, we perform a similarity…

High Energy Physics - Theory · Physics 2009-10-30 Billy D. Jones , Robert J. Perry , Stanislaw D. Glazek

Two-body bound states such as mesons are described by solutions of the Bethe-Salpeter equation. We discuss recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to c\bar{c} bound…

Nuclear Theory · Physics 2009-11-10 A. Krassnigg , P. Maris

In this paper we study the quantum phase properties of {\it "nonlinear coherent states"} and {\it "solvable quantum systems with discrete spectra"} using the Pegg-Barnett formalism in a unified approach. The presented procedure will then be…

Quantum Physics · Physics 2010-11-11 G. R. Honarasa , M. K. Tavassoly , M. Hatami

Achieving self-consistent simultaneous interpretations of pions and kaons as bound states of quark and antiquark and as the (almost) massless boson states related, according to Goldstone's theorem, to the dynamical (and explicit) breakdown…

High Energy Physics - Phenomenology · Physics 2018-03-22 Wolfgang Lucha , Franz F. Schoberl

We study the Schwinger-Dyson equation for the fermion self-energy in massless and massive $QED_2$, in the ladder approximation. When the fermion is massless (and the photon massless or massive), we check the reliability of this…

High Energy Physics - Theory · Physics 2017-12-21 C. D. Fosco , T. Matsuyama

We analyze the excitation spectrum of a three-dimensional(3D) Bose-Fermi mixture with tunable resonant interaction parameters and high hyperfine spin multiplets. We focus on a 3-particle vertex describing fermionic and bosonic atoms which…

Quantum Gases · Physics 2010-09-02 Shimul Akhanjee

We compute the bound state properties of three-dimensional scalar $\phi^4$ theory in the broken phase. To this end, we extend the recently developed technique of spectral Dyson-Schwinger equations to solve the Bethe-Salpeter equation and…

High Energy Physics - Phenomenology · Physics 2023-10-26 Gernot Eichmann , Andrés Gómez , Jan Horak , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink

The time evolution of a finite fermion system towards statistical equilibrium is investigated using analytical solutions of a nonlinear partial differential equation that had been derived earlier from the Boltzmann collision term. The…

Statistical Mechanics · Physics 2018-12-07 T. Bartsch , G. Wolschin

We construct the homogeneous integral equation for the vertex of the bound state in the light front with the kernel approximated to order g^4. We will truncate the hierarchical equations from Green functions to construct dynamical equations…

High Energy Physics - Theory · Physics 2007-05-23 J. H. O. Sales , A. T. Suzuki