TY - JOUR
T1 - Monopole star products are non-alternative
AU - Bojowald, Martin
AU - Brahma, Suddhasattwa
AU - Büyükçam, Umut
AU - Strobl, Thomas
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/4/1
Y1 - 2017/4/1
N2 - Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered. Using methods of deformation quantization it is shown here, that algebras for such systems cannot be alternative, i.e. their associator cannot be completely anti-symmetric.
AB - Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered. Using methods of deformation quantization it is shown here, that algebras for such systems cannot be alternative, i.e. their associator cannot be completely anti-symmetric.
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U2 - 10.1007/JHEP04(2017)028
DO - 10.1007/JHEP04(2017)028
M3 - Article
AN - SCOPUS:85017204860
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 4
M1 - 28
ER -