Erratum: Controversy concerning the definition of quark and gluon angular momentum [Phys. Rev. D83, 096012 (2011)]

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
Elliot Leader
Keyword(s):  
Angular Momentum ◽  
Definition Of

scholarly journals Geometric momentum and angular momentum for charge-monopole system

2018 ◽  
Vol 33 (23) ◽  
pp. 1850125
Author(s):  
S. F. Xiao ◽  
Q. H. Liu
Keyword(s):  
Angular Momentum ◽  
Orbital Angular Momentum ◽  
Spherical Surface ◽  
Intensive Study ◽  
Displacement Operator ◽  
Flux Quantization ◽  
Transverse Part ◽  
Definition Of ◽  
A Charge ◽  
Aharonov Bohm

For a charge-monopole pair, we have another definition of the orbital angular momentum, and the transverse part of the momentum including the vector potential turns out to be the so-called geometric momentum that is under intensive study recently. For the charge on the spherical surface with the monopole at the origin, the commutation relations between all components of both the geometric momentum and the orbital angular momentum satisfy the so(3,[Formula: see text]1) algebra. With construction of the geometrically infinitesimal displacement operator based on the geometric momentum, the so(3,[Formula: see text]1) algebra implies the Aharonov–Bohm phase shift. The related problems such as charge and flux quantization are also addressed.

scholarly journals Post-Newtonian treatise on the rotational motion of a finite body

1986 ◽  
Vol 114 ◽  
pp. 35-40 ◽  
Author(s):  
T. Fukushima
Keyword(s):  
Angular Momentum ◽  
Rigid Body ◽  
Angular Acceleration ◽  
Relative Magnitude ◽  
The Body ◽  
Coordinate Systems ◽  
Functional Forms ◽  
Finite Body ◽  
The Moment ◽  
Definition Of

The definition of the angular momentum of a finite body is given in the post-Newtonian framework. The non-rotating and the rigidly rotating proper reference frame(PRF)s attached to the body are introduced as the basic coordinate systems. The rigid body in the post-Newtonian framework is defined as the body resting in a rigidly rotating PRF of the body. The feasibility of this rigidity is assured by assuming suitable functional forms of the density and the stress tensor of the body. The evaluation of the time variation of the angular momentum in the above two coordinate systems leads to the post-Newtonian Euler's equation of motion of a rigid body. The distinctive feature of this equation is that both the moment of inertia and the torque are functions of the angular velocity and the angular acceleration. The obtained equation is solved for a homogeneous spheroid suffering no torque. The post-Newtonian correction to the Newtonian free precession is a linear combination of the second, fourth and sixth harmonics of the precessional frequency. The relative magnitude of the correction is so small as of order of 10−23 in the case of the Earth.

Quasi-local mass and angular momentum in general relativity

1982 ◽  
Vol 381 (1780) ◽  
pp. 53-63 ◽  
Keyword(s):  
General Relativity ◽  
Angular Momentum ◽  
Twistor Space ◽  
New Approach ◽  
Local Mass ◽  
Bondi Mass ◽  
Definition Of

A new approach to defining energy-momentum and angular momentum in general relativity is presented which avoids some of the difficulties of previous definitions and which can be applied quasi-locally. It depends on the construction of a twistor space T α ( S ) associated with any spacelike topological 2-sphere S . Though several problems of interpretation remain to be solved, the new definition works well at I + , reproducing the Bondi-mass-momentum as four of the ten precisely determined quantities at each cut of I + . The remaining six quantities provide a definition of angular momentum which appears to be new.

scholarly journals Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics

2021 ◽  
Vol 57 (5) ◽  
Author(s):  
Enrico Speranza ◽  
Nora Weickgenannt
Keyword(s):  
Angular Momentum ◽  
Invariant Operator ◽  
Spin Tensor ◽  
Spin Part ◽  
Gauge Transformations ◽  
Nuclear Collisions ◽  
Relativistic Treatment ◽  
Relativistic Nuclear Collisions ◽  
Definition Of ◽  
Cartan Theory

AbstractThe relativistic treatment of spin is a fundamental subject which has an old history. In various physical contexts it is necessary to separate the relativistic total angular momentum into an orbital and spin contribution. However, such decomposition is affected by ambiguities since one can always redefine the orbital and spin part through the so-called pseudo-gauge transformations. We analyze this problem in detail by discussing the most common choices of energy-momentum and spin tensors with an emphasis on their physical implications, and study the spin vector which is a pseudo-gauge invariant operator. We review the angular momentum decomposition as a crucial ingredient for the formulation of relativistic spin hydrodynamics and quantum kinetic theory with a focus on relativistic nuclear collisions, where spin physics has recently attracted significant attention. Furthermore, we point out the connection between pseudo-gauge transformations and the different definitions of the relativistic center of inertia. Finally, we consider the Einstein–Cartan theory, an extension of conventional general relativity, which allows for a natural definition of the spin tensor.

Definition of the Flux of Internal Angular Momentum in a Polyatomic Fluid

1972 ◽  
Vol 56 (6) ◽  
pp. 3177-3178 ◽  
Author(s):  
Peter Gray ◽  
John S. Dahler
Keyword(s):  
Angular Momentum ◽  
Definition Of

The structure of timelike infinity for isolated systems

1982 ◽  
Vol 381 (1781) ◽  
pp. 323-344 ◽  
Keyword(s):  
Angular Momentum ◽  
Initial Value Problem ◽  
Initial Value ◽  
Asymptotic Flatness ◽  
Universal Structure ◽  
Definition Of ◽  
Isolated Systems ◽  
Massive Fields

A definition of asymptotic flatness at timelike infinity for isolated systems is proposed. The universal structure of such AFTI space-times is discussed. This structure is used to define energy and angular momentum for such space-times. A formulation of the initial value problem for massive fields is discussed.

Properties of spin and orbital angular momenta of light

2021 ◽  
Vol 36 (26) ◽  
Author(s):  
Arvind ◽  
S. Chaturvedi ◽  
N. Mukunda
Keyword(s):  
Angular Momentum ◽  
Physical Properties ◽  
Degree Of Freedom ◽  
Polarization Degree ◽  
Quantum Mechanical ◽  
Light Fields ◽  
Spin Part ◽  
Full Account ◽  
Angular Momenta ◽  
Definition Of

This paper analyses the algebraic and physical properties of the spin and orbital angular momenta of light in the quantum mechanical framework. The consequences of the fact that these are not angular momenta in the quantum mechanical sense are worked out in mathematical detail. It turns out that the spin part of the angular momentum has continuous eigenvalues. Particular attention is given to the paraxial limit, and to the definition of Laguerre–Gaussian modes for photons as well as classical light fields taking full account of the polarization degree of freedom.

scholarly journals Quark Orbital Angular Momentum and Final State Interactions

2015 ◽  
Vol 37 ◽  
pp. 1560035 ◽  
Author(s):  
Matthias Burkardt
Keyword(s):  
Angular Momentum ◽  
Orbital Angular Momentum ◽  
Final State ◽  
Spin Asymmetries ◽  
Single Spin ◽  
Wigner Distributions ◽  
Single Spin Asymmetries ◽  
Quark Orbital Angular Momentum ◽  
The Difference ◽  
Definition Of

Definitions of orbital angular momentum based on Wigner distributions are used to discuss the connection between the Ji definition of the quark orbital angular momentum and that of Jaffe and Manohar. The difference between these two definitions can be interpreted as the change in the quark orbital angular momentum as it leaves the target in a DIS experiment. The mechanism responsible for that change is similar to the mechanism that causes transverse single-spin asymmetries in semi-inclusive deep-inelastic scattering.

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