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We present a new perspective on the nature of quark and gluon condensates in quantum chromodynamics. We suggest that the spatial support of QCD condensates is restricted to the interiors of hadrons, since these condensates arise due to the…

High Energy Physics - Theory · Physics 2014-11-03 Stanley J. Brodsky , Robert Shrock

We study the quantization of many-body systems in two dimensions in rotating coordinate frames using a gauge invariant formulation of the dynamics. We consider reference frames defined by linear and quadratic gauge conditions. In both cases…

Quantum Physics · Physics 2008-11-26 Jose Mendez Gamboa , Antonio O. Bouzas

Quantum theory of the gauge models in the causal approach leads to some cohomology problems. We investigate these problems in detail.

High Energy Physics - Theory · Physics 2011-03-17 D. R. Grigore

The quark-meson coupling model, based on a mean-field description of non-overlapping nucleon bags bound by the self-consistent exchange of $\sigma$, $\omega$ and $\rho$ mesons, is extended to investigate the change of hadron properties in…

Nuclear Theory · Physics 2008-11-26 K. Saito , K. Tsushima , A. W. Thomas

Gauge invariance is the cornerstone of modern quantum field theory. Recently, it has been shown that the quantum Rabi model, describing the dipolar coupling between a two-level atom and a quantized electromagnetic field, violates this…

Quantum Physics · Physics 2019-06-05 O. Di Stefano , A. Settineri , V. Macrì , L. Garziano , R. Stassi , S. Savasta , F. Nori

A quaternionic version of Quantum Mechanics is constructed using the Schwinger's formulation based on measurements and a Variational Principle. Commutation relations and evolution equations are provided, and the results are compared with…

Quantum Physics · Physics 2014-11-18 C. A. M. de Melo , B. M. Pimentel

The role of the gauge invariance in noncommutative field theory is discussed. A basic introduction to noncommutative geometry and noncommutative field theory is given. Background invariant formulation of Wilson lines is proposed. Duality…

High Energy Physics - Theory · Physics 2007-05-23 Corneliu Sochichiu

Neutron stars and quark stars are not only characterized by their mass and radius, but also by how fast they spin, through their moment of inertia, and how much they can be deformed, through their Love number and quadrupole moment. These…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Kent Yagi , Nicolas Yunes

We reply to the Comment of X. Ji [arXiv:0810.4913] on our paper [PRL 100:232002 (2008)], concerning angular momentum algebra, locality, Lorentz covariance, and measurability of our gauge-invariant description of the spin and orbital angular…

High Energy Physics - Phenomenology · Physics 2008-12-24 Xiang-Song Chen , Xiao-Fu Lü , Wei-Min Sun , Fan Wang , T. Goldman

It is generally assumed that quantum field theory (QFT) is gauge invariant. However it is well known that non-gauge invariant terms appear in various calculations. This problem was examined in Refs. [3] and [4] and it was shown that at the…

Quantum Physics · Physics 2007-09-12 Dan Solomon

Many transport coefficients of the quark-gluon plasma and nuclear structure functions can be written as gauge invariant correlation functions of non-Abelian field strengths dressed with Wilson lines. We discuss the applicability of axial…

High Energy Physics - Phenomenology · Physics 2023-02-09 Bruno Scheihing-Hitschfeld , Xiaojun Yao

The algebraic formulation of the quantum group covariant noncommutative geometry in the framework of the $R$-matrix approach to the theory of quantum groups is given. We consider structure groups taking values in the quantum groups and…

High Energy Physics - Theory · Physics 2011-04-15 A. P. Isaev

This review deals with the structure of hadrons, strongly interacting many-body systems consisting of quarks and gluons. These systems have a size of about 1 fm, which shows up in scattering experiments at low momentum transfers $Q$ in the…

High Energy Physics - Phenomenology · Physics 2009-09-29 Dieter Drechsel , Thomas Walcher

We derive a relation between four-fermion QED Green functions of different covariant gauges which defines the gauge dependence completely. We use the derived gauge dependence to check the gauge invariance of atom-like bound state…

High Energy Physics - Phenomenology · Physics 2016-09-01 Grigorii B. Pivovarov

The properties of nuclear matter and finite nuclei are studied within the quark mean field (QMF) model by taking the effects of pion and gluon into account at the quark level. The nucleon is described as the combination of three constituent…

Nuclear Theory · Physics 2016-11-10 Xueyong Xing , Jinniu Hu , Hong Shen

We review the reasons why one might choose to seriously re-examine the traditional approach to nuclear theory where nucleons are treated as immutable. This examination leads us to argue that the modification of the structure of the nucleon…

Nuclear Theory · Physics 2016-09-21 A. W. Thomas

We construct a quark target model (QTM) to incorporate intrinsic glue into effective low-energy models of QCD, which often contain only quark degrees of freedom. This method guarantees the gauge invariance of observables order-by-order in…

High Energy Physics - Phenomenology · Physics 2021-10-27 C. S. R. Costa , Adam Freese , Ian C. Cloët , Bruno El-Bennich , Gastão Krein , Peter C. Tandy

We review how the identification of gauge theory operators representing string states in the pp-wave/BMN correspondence and their associated anomalous dimension reduces to the determination of the eigenvectors and the eigenvalues of a…

High Energy Physics - Theory · Physics 2007-05-23 C. Kristjansen

A covariant, unitary and gauge invariant theory for pion photoproduction on a single nucleon is presented. To achieve gauge invariance at the operator level one needs to include both the $\pi N$ and $\gamma\pi N$ thresholds. The final…

Nuclear Theory · Physics 2007-05-23 C. H. M. van Antwerpen , I. R. Afnan

The concept of gauge invariance in classical electrodynamics assumes tacitly that Maxwell's equations have unique solutions. By calculating the electromagnetic field of a moving particle both in Lorenz and in Coulomb gauge and directly from…

Classical Physics · Physics 2007-05-23 Wolfgang Engelhardt