| Name: Avijit Sen Majumder |
| Affiliation: Jadavpur University |
| Conference ID: ASI2026_99 |
| Title: Non-relativistic scattering of a massive spin-2 field via graviton exchange with a spin-0 field and the gravitational potential |
| Abstract Type: Poster |
| Abstract Category: High Energy Phenomena, Fundamental Physics and Astronomy |
| Author(s) and Co-Author(s) with Affiliation: Avijit Sen Majumder(Jadavpur University, Kolkata - 700032, India), Sourav Bhattacharya(Jadavpur University, Kolkata - 700032, India) |
| Abstract: Among the four fundamental forces – strong, weak, electromagnetic, and gravitational – the gravitational force is still unquantized. This makes a significant challenge in theoretical physics as the quantum of gravitational force - called the Graviton, a spin-2 Boson, has yet to be detected. But the mathematical framework for the graviton is well-developed and remains a dynamic area of study. In this work, we calculate the graviton mediated scattering amplitude for tree and higher order Feynman diagrams involving a massive spin-2 Fierz-Pauli field interacting with a massive spin-0 Klein-Gordon field and the quantum corrected two body gravitational potential in the non-relativistic limit. The massive spin-2 field does not represent gravity here. Rather, the theory of gravity is described by usual massless general relativity, and the massive spin-2 field is taken as a test quantum field coupled to gravity via the standard minimal prescription. We first compute the tree level 2-2 scattering and the leading Newtonian potential, along with subleading spin dependent terms at O(G). We then analyse the next-to-leading order [O(G^2)] scattering, demonstrating the spin independent, spherically symmetric leading part of the two body gravitational potential. Our analysis shows that the tree level potential is inversely proportional to the distance between massive spin-2 and massive spin-0 particles, which agrees with classical Newtonian results. Further quantum corrections to the potential have been calculated up to the inverse square and cube of the distance. This work attempts to calculate the quantum corrected gravitational potential in higher spin field theory, representing an important step toward understanding quantized gravitational interactions. |
