dorsal/arxiv
View SchemaWigner's Spins, Feynman's Partons, and Their Common Ground
| Authors | Y. S. Kim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205018 |
| URL | https://arxiv.org/abs/quant-ph/0205018 |
| DOI | 10.1007/s10582-002-0134-9 |
| Journal | Czech.J.Phys.52:C433-C444,2002 |
Abstract
The connection between spin and symmetry was established by Wigner in his 1939 paper on the Poincar\'e group. For a massive particle at rest, the little group is O(3) from which the concept of spin emerges. The little group for a massless particle is isomorphic to the two-dimensional Euclidean group with one rotational and two translational degrees of freedom. The rotational degree corresponds to the helicity, and the translational degrees to the gauge degree of freedom. The question then is whether these two different symmetries can be united. Another hard-pressing problem is Feynman's parton picture which is valid only for hadrons moving with speed close to that of light. While the hadron at rest is believed to be a bound state of quarks, the question arises whether the parton picture is a Lorentz-boosted bound state of quarks. We study these problems within Einstein's framework in which the energy-momentum relations for slow particles and fast particles are two different manifestations one covariant entity.
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"abstract": "The connection between spin and symmetry was established by Wigner in his\n1939 paper on the Poincar\\\u0027e group. For a massive particle at rest, the little\ngroup is O(3) from which the concept of spin emerges. The little group for a\nmassless particle is isomorphic to the two-dimensional Euclidean group with one\nrotational and two translational degrees of freedom. The rotational degree\ncorresponds to the helicity, and the translational degrees to the gauge degree\nof freedom. The question then is whether these two different symmetries can be\nunited. Another hard-pressing problem is Feynman\u0027s parton picture which is\nvalid only for hadrons moving with speed close to that of light. While the\nhadron at rest is believed to be a bound state of quarks, the question arises\nwhether the parton picture is a Lorentz-boosted bound state of quarks. We study\nthese problems within Einstein\u0027s framework in which the energy-momentum\nrelations for slow particles and fast particles are two different\nmanifestations one covariant entity.",
"arxiv_id": "quant-ph/0205018",
"authors": [
"Y. S. Kim"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-ph",
"hep-th",
"nucl-th"
],
"doi": "10.1007/s10582-002-0134-9",
"journal_ref": "Czech.J.Phys.52:C433-C444,2002",
"title": "Wigner\u0027s Spins, Feynman\u0027s Partons, and Their Common Ground",
"url": "https://arxiv.org/abs/quant-ph/0205018"
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