2023/05/08 by Pallab Basu, S. R. Haridev, S. R. Haridev +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #Cosmology and Gravitation Theories
paper · pdf · doi:10.1103/physrevd.107.105004
We investigate aspects of spontaneous breakdown of symmetry for the O(N) symmetric linear sigma model in the background of Rindler and anti--de Sitter spacetimes respectively. In the large N limit, by computing the one-loop effective action, we report that in three dimensional Rindler space, there is a phase transition from the disordered phase to an ordered phase past a certain critical Rindler acceleration parameter ``a.'' Connections with finite temperature field theory results are established, thereby further reinforcing the idea that Rindler space can indeed be a proxy for Minkowski spacetime with finite temperature. We extend our calculations to anti-de Sitter space in various dimensions and observe that symmetry is broken in three dimensions, but not in four dimensions. We discuss the implications of our results.