On energy-momentum and spin/helicity of quark and gluon fields
@article{Hehl2014OnEA, title={On energy-momentum and spin/helicity of quark and gluon fields}, author={Friedrich W. Hehl}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2014} }
In special relativity, quantum matter can be classified according to mass-energy and spin. The corresponding field-theoretical notions are the energy-momentum-stress tensor T and the spin angular momentum tensor S. Since each object in physics carries energy and, if fermionic, also spin, the notions of T and S can be spotted in all domains of physics. We discuss the T and S currents in Special Relativity (SR), in General Relativity (GR), and in the Einstein-Cartan theory of gravity (EC). We…
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References
SHOWING 1-10 OF 35 REFERENCES
Thermodynamical inequivalence of quantum stress-energy and spin tensors
- Physics
- 2011
It is shown that different couples of stress-energy and spin tensors of quantum relativistic fields, which would be otherwise equivalent, are in fact inequivalent if the second law of thermodynamics…
On the Gauge Aspects of Gravity
- Physics
- 1995
We give a short outline, in Sec. 2, of the historical development of the gauge idea as applied to internal (U(1), SU(2),...) and external (R 4 , SO(1,3),...) symmetries and stress the fundamental…
Sources of time reversal odd spin asymmetries in QCD
- Physics
- 2003
These spin effects are T-odd but not related to the CP-violation. They are generated by the term in the cross-section proportional to the polarization of one of the spin-1/2 particles. If parity is…
Equivalence Principle and Partition of Angular Momenta in the Nucleon
- Physics
- 2007
The manifestation of equivalence principle (EP) in spin‐gravity interactions, resulting in the nullification of the corresponding analog of Anomalous Magnetic moment is explored. Its tests in the…
Nonequilibrium Thermodynamical Inequivalence of Quantum Stress-energy and Spin Tensors
- Physics
- 2013
It is shown that different pairs of stress-energy and spin tensors of quantum relativistic fields related by a pseudo-gauge transformation, i.e. differing by a divergence, imply different mean values…
Elie Cartan's torsion in geometry and in field theory, an essay
- Physics
- 2007
We review the application of torsion in field theory. First we show how the notion of torsion emerges in differential geometry. In the context of a Cartan circuit, torsion is related to translations…
Gauge Theories Of Gravitation: A Reader With Commentaries
- Physics
- 2013
The Rise of Gauge Theory of Gravity Up to 1961: From Special to General Relativity Theory Analyzing General Relativity Theory A Fresh Start by Yang - Mills and Utiyama Poincare Gauge Theory: Einstein…
The Superfluid Phases Of Helium 3
- Physics
- 1990
A comprehensive treatment of the theory of superfluid helium-3 is presented in this book. This treatment also illustrates many of the principal themes of theoretical condensed matter physics over the…
The angular momentum controversy: What’s it all about and does it matter?
- PhysicsPhysics of Particles and Nuclei
- 2013
A controversy has arisen as to how to define quark and gluon angular momentum, important in understanding the internal structure of the nucleon. For a review of the controversy, see [1]. I survey…
The Meaning of Relativity
- Physics
- 1921
In 1921, five years after the appearance of his comprehensive paper on general relativity and twelve years before he left Europe permanently to join the Institute for Advanced Study, Albert Einstein…