This paper sets out to establish a comparative study between classes of spin- and velocity-dependent potentials for spin-1/2 and spin-1 matter currents/sources in the nonrelativistic regime. Both (neutral massive) scalar and vector particles are considered to mediate the interactions between (pseudo-)scalar sources or (pseudo-)vector currents. Though our discussion is more general, we contemplate specific cases in which our results may describe the electromagnetic interaction with a massive (Proca-type) photon exchanged between two spin-1/2 or two spin-1 carriers. We highlight the similarities and peculiarities of the potentials for the two different types of charged matter and also focus our attention on the comparison between the particular aspects of two different field representations for spin-1 matter particles. We believe that our results may contribute to a further discussion of the relation between charge, spin, and extensibility of elementary particles.
We investigate spin-and velocity-dependent contributions to the gravitational interparticle potential. The methodology adopted here is based on the expansion of the effective action in terms of form factors encoding quantum corrections. Restricting ourselves to corrections up to the level of the graviton propagator, we compute, in terms of general form factors, the nonrelativistic gravitational potential associated with the scattering of spin-0 and-1=2 particles. We discuss comparative aspects concerning different types of scattered particles and we also establish some comparisons with the case of electromagnetic potentials. Moreover, we apply our results to explicit examples of form factors based on nonperturbative approaches for quantum gravity. Finally, the cancellation of Newtonian singularity is analyzed in the presence of terms beyond the monopole-monopole sector.
In this short note we present punctual corrections to the paper "Comparative aspects of spindependent interaction potentials for spin-1/2 and spin-1 matter fields", Adv. High Energy Phys.2016, (2016) 2531436 (arxiv:hep-th/1510.03291v4). Some of the interparticle potentials receive small corrections, mainly as monopole or spin-dependent contact terms. The main conclusions remain basically unaltered.
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