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The large density of gluons, which is present shortly after a nuclear collision at very high energies, can lead to the formation of a condensate. We identify a gauge-invariant order parameter for condensation based on elementary…

High Energy Physics - Phenomenology · Physics 2020-08-19 Jürgen Berges , Kirill Boguslavski , Mark Mace , Jan M. Pawlowski

In this lattice QCD study we evaluate the nucleon spin decomposition to quarks and gluons contributions. We employ one gauge ensemble of maximally twisted mass fermions with two degenerate light quarks tuned to approximately reproduce the…

We revisit the gauge-covariant canonical formalism by separating explicitly physical and gauge degrees of freedom. We show in particular that the gauge-invariant linear and angular momentum operators proposed by Chen et al. can consistently…

High Energy Physics - Phenomenology · Physics 2013-11-07 Cédric Lorcé

We examine the conventional picture that gluons carry about half of the nucleon momentum in the asymptotic limit. We reveal that this large fraction is due to an unsuitable definition of the gluon momentum in an interacting theory. If…

High Energy Physics - Phenomenology · Physics 2009-09-02 Xiang-Song Chen , Wei-Min Sun , Xiao-Fu Lü , Fan Wang , T. Goldman

We describe the invariant structure common to abelian fractional quantum Hall systems with spin. It appears in a generalization of the lattice description of the polarized hierarchy that encompasses both partially polarized and unpolarized…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 M. Milovanovic , N. Read

The implications of gauging the Wess-Zumino-Novikov-Witten (WZNW) model using the Gauss decomposition of the group elements are explored. We show that, contrary to standard gauging of WZNW models, this gauging is carried out by minimally…

High Energy Physics - Theory · Physics 2015-06-26 H. Arfaei , Noureddine Mohammedi

A recent paper promises new constructions that may make it possible to achieve covariance in spherically symmetric models of loop quantum gravity. This claim is contrary to the discovery of several stubborn obstacles to covariance uncovered…

General Relativity and Quantum Cosmology · Physics 2023-01-05 Martin Bojowald

The total gluon helicity in a polarized proton, measurable in high-energy scattering, is shown to be the large momentum limit of a gauge-invariant but non-local, frame-dependent gluon spin $\vec{E}\times \vec{A}_\perp$ in QCD. This opens a…

High Energy Physics - Phenomenology · Physics 2013-09-16 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

We generalise a result of Aste and Scharf saying that, under some reasonable assumptions, consistent with renormalisation theory, the non-Abelian gauge theories describes the only possibility of coupling the gluons. The proof is done using…

High Energy Physics - Theory · Physics 2007-05-23 Dan Radu Grigore

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

In the past few years, a lot of evidences have been accumulated, which indicate that the gluon polarization inside the nucleon is likely to be small at least at the low renormalization scales. On the other hand, the recent lattice QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Wakamatsu , Y. Nakakoji

We report the first lattice QCD calculation of the glue spin in the nucleon. The lattice calculation is carried out with valence overlap fermions on 2+1 flavor DWF gauge configurations on four lattice spacings and four volumes including an…

High Energy Physics - Phenomenology · Physics 2017-03-15 Yi-Bo Yang , Raza Sabbir Sufian , Andrei Alexandru , Terrence Draper , Michael J. Glatzmaier , Keh-Fei Liu , Yong Zhao

Spherically symmetric models of loop quantum gravity have been studied recently by different methods that aim to deal with structure functions in the usual constraint algebra of gravitational systems. As noticed by Gambini and Pullin, a…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Martin Bojowald , Suddhasattwa Brahma , Juan D. Reyes

An ambiguity inherent in the partial integration procedure leading to the Bern-Kosower rules is fixed in a way which preserves the complete permutation symmetry in the scattering states. This leads to a canonical version of the Bern-Kosower…

High Energy Physics - Theory · Physics 2014-11-18 Christian Schubert

We deconstruct the non-supersymmetric SU(5) breaking by discrete symmetry on the space-time $M^4\times S^1$ and $M^4\times S^1/(Z_2\times Z_2')$ in the Higgs mechanism deconstruction scenario. And we explain the subtle point on how to…

High Energy Physics - Theory · Physics 2011-09-13 Tianjun Li , Tao Liu

We propose two approaches for extracting the total gluon helicity contribution to proton spin from lattice QCD, one from local operator matrix elements in a fixed gauge accessible on lattice with feasible renormalization, and the other from…

High Energy Physics - Phenomenology · Physics 2024-07-02 Zhuoyi Pang , Fei Yao , Jian-Hui Zhang

Using a generalized polar decomposition of the gauge fields into gauge-rotation and gauge-invariant parts, which Abelianises the Non-Abelian Gauss-law constraints, an unconstrained Hamiltonian formulation of QCD can be achieved. The exact…

High Energy Physics - Theory · Physics 2014-05-09 Hans-Peter Pavel

We present some generalizations of a recently proposed alternative approach to nonabelian gauge theories based on the causal Epstein-Glaser method in perturbative quantum field theory. Nonabelian gauge invariance is defined by a simple…

High Energy Physics - Theory · Physics 2009-10-28 Tobias Hurth

We implement the Hamiltonian treatment of a nonAbelian noncommutative gauge theory, considering with some detail the algebraic structure of the noncommutative symmetry group. The first class constraints and Hamiltonian are obtained and…

High Energy Physics - Theory · Physics 2009-11-07 Ricardo Amorim , Franz A. Farias

The partition of nucleon spin between total angular momenta of quarks and gluons is described by the energy momentum tensor formfactors manifested also in the nucleon scattering by weak classical gravitational field. Natural generalization…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev