Abstract
We consider several ternary algebras relevant to physics. We compare and contrast the quantal versions of the algebras, as realized through associative products of operators, with their classical counterparts, as realized through classical Nambu brackets. In some cases involving infinite algebras, we show the classical limit may be obtained by a contraction of the quantal algebra, and then explicitly realized through classical brackets. We illustrate this classical-contraction method by the Virasoro-Witt example.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 387-392 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 675 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - May 18 2009 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Classical and quantal ternary algebras. / Curtright, Thomas; Fairlie, David; Jin, Xiang; Mezincescu, Alexandru; Zachos, Cosmas.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 675, No. 3-4, 18.05.2009, p. 387-392.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Classical and quantal ternary algebras
AU - Curtright, Thomas
AU - Fairlie, David
AU - Jin, Xiang
AU - Mezincescu, Alexandru
AU - Zachos, Cosmas
PY - 2009/5/18
Y1 - 2009/5/18
N2 - We consider several ternary algebras relevant to physics. We compare and contrast the quantal versions of the algebras, as realized through associative products of operators, with their classical counterparts, as realized through classical Nambu brackets. In some cases involving infinite algebras, we show the classical limit may be obtained by a contraction of the quantal algebra, and then explicitly realized through classical brackets. We illustrate this classical-contraction method by the Virasoro-Witt example.
AB - We consider several ternary algebras relevant to physics. We compare and contrast the quantal versions of the algebras, as realized through associative products of operators, with their classical counterparts, as realized through classical Nambu brackets. In some cases involving infinite algebras, we show the classical limit may be obtained by a contraction of the quantal algebra, and then explicitly realized through classical brackets. We illustrate this classical-contraction method by the Virasoro-Witt example.
UR - http://www.scopus.com/inward/record.url?scp=65349099501&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=65349099501&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2009.04.019
DO - 10.1016/j.physletb.2009.04.019
M3 - Article
AN - SCOPUS:65349099501
VL - 675
SP - 387
EP - 392
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 3-4
ER -