Scalar-Scalar Bound State in Non-commutative Space
M. Haghighat, F. Loran
TL;DR
This paper investigates how non-commutative space affects scalar-scalar bound states, revealing that spatial non-commutativity introduces a magnetic dipole moment in the non-relativistic limit.
Contribution
It provides a theoretical analysis of the Bethe-Salpeter equation in non-commutative space, highlighting the emergence of magnetic dipole moments.
Findings
Non-commutative space induces magnetic dipole moments in scalar particles.
The non-relativistic limit reveals effects analogous to magnetic interactions.
The study extends understanding of bound states in non-commutative geometries.
Abstract
Bethe-Salpeter equation in the non-commutative space for a scalar-scalar bound state is considered. It is shown that in the non-relativistic limit, the effect of spatial non-commutativity appears as if there exist a magnetic dipole moment coupled to each particle.
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