Research output: Contribution to journal › Article
Quantum gravitational corrections for spinning particles. / Fröb, Markus B.
In: Journal of High Energy Physics, Vol. 10, 051, 11.10.2016, p. 1-46.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Quantum gravitational corrections for spinning particles
AU - Fröb, Markus B.
N1 - 46 pages, 2 figures © The Authors, 2016
PY - 2016/10/11
Y1 - 2016/10/11
N2 - We calculate the quantum corrections to the gauge-invariant gravitational potentials of spinning particles in flat space, induced by loops of both massive and massless matter fields of various types. While the corrections to the Newtonian potential induced by massless conformal matter for spinless particles are well-known, and the same corrections due to massless minimally coupled scalars [Class. Quant. Grav. 27 (2010) 245008], massless non-conformal scalars [Phys. Rev. D 87 (2013) 104027] and massive scalars, fermions and vector bosons [Phys. Rev. D 91 (2015) 064047] have been recently derived, spinning particles receive additional corrections which are the subject of the present work. We give both fully analytic results valid for all distances from the particle, and present numerical results as well as asymptotic expansions. At large distances from the particle, the corrections due to massive fields are exponentially suppressed in comparison to the corrections from massless fields, as one would expect. However, a surprising result of our analysis is that close to the particle itself, on distances comparable to the Compton wavelength of the massive fields running in the loops, these corrections can be enhanced with respect to the massless case.
AB - We calculate the quantum corrections to the gauge-invariant gravitational potentials of spinning particles in flat space, induced by loops of both massive and massless matter fields of various types. While the corrections to the Newtonian potential induced by massless conformal matter for spinless particles are well-known, and the same corrections due to massless minimally coupled scalars [Class. Quant. Grav. 27 (2010) 245008], massless non-conformal scalars [Phys. Rev. D 87 (2013) 104027] and massive scalars, fermions and vector bosons [Phys. Rev. D 91 (2015) 064047] have been recently derived, spinning particles receive additional corrections which are the subject of the present work. We give both fully analytic results valid for all distances from the particle, and present numerical results as well as asymptotic expansions. At large distances from the particle, the corrections due to massive fields are exponentially suppressed in comparison to the corrections from massless fields, as one would expect. However, a surprising result of our analysis is that close to the particle itself, on distances comparable to the Compton wavelength of the massive fields running in the loops, these corrections can be enhanced with respect to the massless case.
KW - hep-th
KW - gr-qc
U2 - 10.1007/JHEP10(2016)051
DO - 10.1007/JHEP10(2016)051
M3 - Article
VL - 10
SP - 1
EP - 46
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
M1 - 051
ER -