Abstract
We develop a variational formulation of a particle with spin in a curved spacetime background. The model is based on a singular Lagrangian which provides equations of motion, a fixed value of spin and Frenkel condition on spin-tensor. Comparing our equations with those of Papapetrou we conclude that the Frenkel electron in a gravitational field has the same behavior as a rotating body in the pole-dipole and leading-spin approximation. Due to constraints presented in the formulation, position space is endowed with a noncommutative structure induced by the spin of the particle. Therefore, the model provides a physically interesting example of a noncommutative particle in a curved background. Open Access,
| Original language | English |
|---|---|
| Article number | 109 |
| Journal | Journal of High Energy Physics |
| Volume | 2014 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jan 2014 |
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Keywords
- Classical Theories of Gravity
- Non-Commutative Geometry
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Frenkel electron and a spinning body in a curved background. / Ramírez, Walberto Guzmán; Deriglazov, Alexei A.; Pupasov-Maksimov, Andrey M.
In: Journal of High Energy Physics, Vol. 2014, No. 3, 109, 01.01.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Frenkel electron and a spinning body in a curved background
AU - Ramírez, Walberto Guzmán
AU - Deriglazov, Alexei A.
AU - Pupasov-Maksimov, Andrey M.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We develop a variational formulation of a particle with spin in a curved spacetime background. The model is based on a singular Lagrangian which provides equations of motion, a fixed value of spin and Frenkel condition on spin-tensor. Comparing our equations with those of Papapetrou we conclude that the Frenkel electron in a gravitational field has the same behavior as a rotating body in the pole-dipole and leading-spin approximation. Due to constraints presented in the formulation, position space is endowed with a noncommutative structure induced by the spin of the particle. Therefore, the model provides a physically interesting example of a noncommutative particle in a curved background. Open Access,
AB - We develop a variational formulation of a particle with spin in a curved spacetime background. The model is based on a singular Lagrangian which provides equations of motion, a fixed value of spin and Frenkel condition on spin-tensor. Comparing our equations with those of Papapetrou we conclude that the Frenkel electron in a gravitational field has the same behavior as a rotating body in the pole-dipole and leading-spin approximation. Due to constraints presented in the formulation, position space is endowed with a noncommutative structure induced by the spin of the particle. Therefore, the model provides a physically interesting example of a noncommutative particle in a curved background. Open Access,
KW - Classical Theories of Gravity
KW - Non-Commutative Geometry
UR - http://www.scopus.com/inward/record.url?scp=84901367902&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84901367902&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2014)109
DO - 10.1007/JHEP03(2014)109
M3 - Article
VL - 2014
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 3
M1 - 109
ER -