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We investigate hadronic unquenching effects in light quarks and mesons. Within the non-perturbative continuum framework of Schwinger-Dyson and Bethe-Salpeter equations we quantify the strength of the back reaction of the pion onto the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Dominik Nickel , Jochen Wambach

We present a model for the quark-antiquark interaction formulated in Minkowski space using the Covariant Spectator Theory. The quark propagators are dressed with the same kernel that describes the interaction between different quarks. By…

High Energy Physics - Phenomenology · Physics 2016-01-29 Elmar P. Biernat , M. T. Peña , J. E. Ribeiro , Alfred Stadler , Franz Gross

The quark mixing (CKM) matrix is near-diagonal, whereas the lepton mixing (PMNS) matrix is not. We learn that both observations can generically be explained within an ultraviolet completion of the Standard Model with gravity. We find that…

High Energy Physics - Phenomenology · Physics 2025-07-25 Astrid Eichhorn , Zois Gyftopoulos , Aaron Held

This paper gives an overview of $\left(p,q\right)$-adic Fourier theory - the Fourier theory of functions from the $p$-adic numbers to the $q$-adic numbers, where $p$ and $q$ are distinct primes - which we then use to prove a novel…

General Mathematics · Mathematics 2025-06-24 Maxwell C. Siegel

Correlation functions can be described by the corresponding equations, $viz.$, gap equation for quark propagator and the inhomogeneous Bethe-Salpeter equation for vector dressed-fermion-Abelian-gauge-boson vertex in which specific…

High Energy Physics - Phenomenology · Physics 2021-04-07 Lei Chang , Minghui Ding

Quark confinement and the genesis of the constituent quark model are examined in nonperturbative QCD in Coulomb gauge. We employ a self-consistent method to construct a quasiparticle basis and to determine the quasiparticle interaction. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam P. Szczepaniak , Eric S. Swanson

We design exact polynomial expansions of a class of Feynman--Kac particle distributions. These expansions are finite and are parametrized by coalescent trees and other related combinatorial quantities. The accuracy of the expansions at any…

Probability · Mathematics 2009-06-24 Pierre Del Moral , Frédéric Patras , Sylvain Rubenthaler

A physically defined QCD coupling parameter naturally incorporates massive quark flavor thresholds in a gauge invariant, renormalization scale independent and analytical way. In this paper we summarize recent results for the finite-mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

We study the algebraic $K$-theory of smooth schemes over $W_n(\Bbbk)$, where $\Bbbk$ is a perfect field of characteristic $p>0$. For a $p$-adic smooth scheme $X_{\centerdot}$ over $W_{\centerdot}(k)$, we introduce complexes…

Algebraic Geometry · Mathematics 2026-02-24 Xiaowen Hu

Non-perturbative proof is presented of a unique version of Goldstone theorem, that electromagnetism contributes to the masses of spinless particles of quark-antiquark bound states in the form of a commutator of the quark electric matrix and…

High Energy Physics - Phenomenology · Physics 2014-03-14 R. Ling , B. L. Lee , H. S. Zong , J. L. Ping

The Kerman-Klein formulation of the equations of motion for a nuclear shell model and its associated variational principle are reviewed briefly. It is then applied to the derivation of the self-consistent particle-rotor model and of the…

Nuclear Theory · Physics 2009-11-06 Abraham Klein

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

Yang-Mills theories with a gauge group SU(N_c\=3)and quark matter in the fundamental representation share many properties with the theory of strong interactions, QCD with N_c=3. We show that, for N_c even and in the confinement phase, the…

High Energy Physics - Lattice · Physics 2014-11-20 Kurt Langfeld , Bjoern H. Wellegehausen , Andreas Wipf

We discuss certain general features of the pentaquark picture for the theta, its 10bar_F partner, Xi_{3/2}, and possible heavy quark analogues. Models employing spin-dependent interactions based on either effective Goldstone boson exchange…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Maltman

Inspired by the construction of the Gribov-Zwanziger action in the Landau gauge, we introduce a quark model exhibiting both confinement and chiral symmetry aspects. An important feature is the incorporation of spontaneous chiral symmetry…

High Energy Physics - Phenomenology · Physics 2016-01-07 D. Dudal , M. S. Guimaraes , L. F. Palhares , S. P. Sorella

The purpose of the paper is to study the foundations of the main axioms of Quantum Mechanics. From a general study of the mathematical properties of the models used in Physics to represent systems, we prove that the states of a system can…

Mathematical Physics · Physics 2015-07-02 Jean Claude Dutailly

The standard electroweak model with Dirac neutrinos is extended by way of the principles of electroweak quark-lepton symmetry and weak topological-charge confinement to account for quark-lepton charge relations which, if not accidental, are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ernesto A. Matute

We provide a general method to study representations of quivers over abstract stable homotopy theories (e.g. arbitrary rings, schemes, dg algebras, or ring spectra) in terms of Auslander-Reiten diagrams. For a finite acyclic quiver $Q$ and…

Representation Theory · Mathematics 2025-11-05 Álvaro Sánchez

The quark mean field model, which describes the nucleon using the constituent quark model, is applied to investigate the properties of finite nuclei. The couplings of the scalar and vector mesons with quarks are made density dependent…

Nuclear Theory · Physics 2009-11-07 Y. H. Tan , H. Shen , P. Z. Ning

In the framework of the relativistic independent quark model the parameters of the QCD-motivated static potential and the quark masses are calculated on the basis of the $1^{--}$ meson mass spectra. The value of the confining potential…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. V. Khruschev , V. I. Savrin , S. V. Semenov