scholarly journals Hadronization and confinement in quantum chromodynamics

1991 ◽  
Vol 69 (6) ◽  
pp. 684-691 ◽  
Author(s):  
V. N. Pervushin ◽  
Nguyen Suan Han
Keyword(s):  
Quantum Chromodynamics ◽  
Gauge Fields ◽  
Destructive Interference ◽  
Quantum Numbers ◽  
Covariant Description

We discuss the consistency of the standard ideas of confinement with the recent phenomenological procedure of measurement of colour quantum numbers. We show that the scheme of quantization of gauge fields, most adequate for the covariant description of hadrons, also contains a confinement mechanism as a destructive interference of phase factors of topological degeneration.

Charmonia production in W → (cc̄)Ds(∗) decays

2021 ◽  
Vol 36 (09) ◽  
pp. 2150058
Author(s):  
A. V. Luchinsky ◽  
A. K. Likhoded
Keyword(s):  
Quantum Chromodynamics ◽  
Light Cone ◽  
Relativistic Quantum ◽  
Branching Fractions ◽  
Color Singlet ◽  
Leading Order ◽  
Paper Production ◽  
Quantum Numbers ◽  
Numerical Predictions ◽  
State Formula

In this paper, production of charmonium state [Formula: see text] in exclusive [Formula: see text] decays is analyzed in the framework of both leading order Non-relativistic Quantum Chromodynamics (NRQCD) and light-cone (LC) expansion models. Analytical and numerical predictions for the branching fractions of these decays in both the approaches are given. The typical value of the branching fractions is [Formula: see text][Formula: see text][Formula: see text] and it turns out that the LC results are significantly larger than NRQCD ones (approximately two or four times increase depending on the quantum numbers of the final particles), so the effect of internal quark motion should be taken into account. Some rough estimates of color-octet contributions are presented and it is shown that these contributions could be comparable with color-singlet results.

INDUCED QUANTUM NUMBERS IN SOME 2 + 1 DIMENSIONAL MODELS

1989 ◽  
Vol 04 (02) ◽  
pp. 493-493
Author(s):  
YI-HONG CHEN ◽  
FRANK WILCZEK
Keyword(s):  
Angular Momentum ◽  
Gauge Fields ◽  
Quantum Numbers ◽  
Local Current ◽  
Current Densities ◽  
Dimensional Models ◽  
Background Fields ◽  
Fermion Current ◽  
Spin And Statistics

The fermion current induced by slow variations in background scalar and gauge fields are computed for a class of 2 + 1 dimensional σ-like models. Local current densities proportional to topological currents in the background fields are found. The coefficient depends discontinuously on certain field ratios. The induced fermion numbers we find, mesh nicely with recent results on induced angular momentum and induced statistics. In particular, the spin and statistics is intimately related to the global parity anomaly. Lattice realizations are suggested.

scholarly journals BARYONS AS SOLITONS IN THREE-DIMENSIONAL QUANTUM CHROMODYNAMICS

1992 ◽  
Vol 07 (32) ◽  
pp. 8001-8019 ◽  
Author(s):  
G. FERRETTI ◽  
S.G. RAJEEV ◽  
Z. YANG
Keyword(s):  
Quantum Chromodynamics ◽  
Quark Model ◽  
Magnetic Moments ◽  
Three Dimensional ◽  
Collective Variables ◽  
Soliton Model ◽  
Quantum Numbers ◽  
Effective Lagrangian ◽  
Quantum Antiferromagnet

We show that baryons of three-dimensional quantum chromodynamics can be understood as solitons of its effective Lagrangian. In the parity-preserving phase we study, these baryons are fermions for odd Nc and bosons for even Nc, never anyons. We quantize the collective variables of the solitons and thereby calculate the flavor quantum numbers. magnetic moments and mass splittings of the baryon. The flavor quantum numbers are in agreement with naive quark model for the low-lying states. The magnetic moments and mass splittings are smaller in the soliton model by a factor of logFπ/Ncmπ. We also show that there is a dibaryon solution that is an analog of the deuteron. These solitons can describe defects in a quantum antiferromagnet.

ANOMALOUS NON-CONSERVATION OF FERMION QUANTUM NUMBERS IN COMPLEX BACKGROUND GAUGE FIELDS: (1 + 1)-DIMENSIONAL ABELIAN HIGGS MODEL

1993 ◽  
Vol 08 (15) ◽  
pp. 1451-1459
Author(s):  
V. A. RUBAKOV ◽  
D. V. SEMIKOZ
Keyword(s):  
High Energy ◽  
Higgs Model ◽  
Gauge Fields ◽  
Level Crossing ◽  
Abelian Higgs Model ◽  
Quantum Numbers ◽  
Complex Background ◽  
Background Fields ◽  
High Energy Scattering ◽  
Topological Number

Zero fermion modes are found explicitly for complex background gauge field configurations on contours in complex time plane relevant to multiparticle high energy scattering processes in (1 + 1)-dimensional Abelian Higgs model. Their number is determined by the topological number in accord with the triangle anomaly. The analog of the fermion level crossing is described. So, the analysis of the non-conservation of fermion quantum numbers is naturally generalized to complex background fields.

ORBITAL ANGULAR MOMENTUM OF GAUGE FIELDS: EXCITATION OF AN ATOM BY TWISTED PHOTONS

2014 ◽  
Vol 25 ◽  
pp. 1460048 ◽  
Author(s):  
ANDREI AFANASEV ◽  
CARL E. CARLSON ◽  
ASMITA MUKHERJEE
Keyword(s):  
Angular Momentum ◽  
Symmetry Axis ◽  
Gauge Fields ◽  
Final States ◽  
Exact Matching ◽  
Angular Momentum Projection ◽  
Selection Rules ◽  
Quantum Numbers ◽  
Photon States ◽  
Atomic States

Twisted photon states, or photon states with large (> ℏ) angular momentum projection in the direction of motion, can photoexcite atomic final states of differing quantum numbers. If the photon symmetry axis coincides with the center of an atom, there are known selection rules that require exact matching between the quantum numbers of the photon and the photoexcited states. The more general case of arbitrarily positioned beams relaxes the selection rules but produces a distribution of quantum numbers of the final atomic states that is novel and distinct from final states produced by plane-wave photons. Numerical calculations are presented using a hydrogen atom as an example.

INDUCED QUANTUM NUMBERS IN SOME 2 + 1 DIMENSIONAL MODELS

1989 ◽  
Vol 03 (01) ◽  
pp. 117-128 ◽  
Author(s):  
YI-HONG CHEN ◽  
FRANK WILCZEK
Keyword(s):  
Angular Momentum ◽  
Gauge Fields ◽  
Quantum Numbers ◽  
Local Current ◽  
Current Densities ◽  
Dimensional Models ◽  
Background Fields ◽  
Fermion Current ◽  
Spin And Statistics

The fermion current induced by slow variations in background scalar and gauge fields are computed for a class of 2 + 1 dimensional σ-like models. Local current densities proportional to topological currents in the background fields are found. The coefficient depends discontinuously on certain field ratios. The induced fermion numbers we find, mesh nicely with recent results on induced angular momentum and induced statistics. In particular, the spin and statistics is intimately related to the global parity anomaly. Lattice realizations are suggested.

scholarly journals Fractal Structure in Gauge Fields

Physics ◽  
2019 ◽  
Vol 1 (1) ◽  
pp. 103-110 ◽  
Author(s):  
Airton Deppman ◽  
Eugenio Megías
Keyword(s):  
Field Theory ◽  
Fractal Dimension ◽  
Quantum Chromodynamics ◽  
Fractal Structure ◽  
High Energy ◽  
Gauge Fields ◽  
Yang Mills ◽  
Fractal Properties ◽  
High Energy Collisions ◽  
Power Law Distributions

In this work, we investigate fractal properties in Yang–Mills fields, in particular their Hausdorff fractal dimension. Fractal properties of quantum chromodynamics (QCD) have been suggested as the origin of power-law distributions in high energy collisions, as well as of non-extensive properties that have been observed experimentally. The fractal dimension obtained here can be calculated directly from the properties of the field theory.

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

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