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
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U2 - 10.1007/JHEP03(2014)109
DO - 10.1007/JHEP03(2014)109
M3 - Article
AN - SCOPUS:84901367902
VL - 2014
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 3
M1 - 109
ER -