2006/01/19 by T. Hattori, M Hayashi, M. Hayashi +4 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-ph
paper · pdf · doi:10.1088/0305-4470/39/21/s39
published as J.Phys. A39 (2006) 6441-6444 · 4 pages. To appear in the proceedings of 7th Workshop on Quantum Field Theory Under the Influence of External Conditions (QFEXT 05), Barcelona, Catalonia, Spain, 5-9 Sep 2005. References are add
arxiv created 2006/01/19 · openalex publication_date 2006/05/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the thermal and curvature effects on spontaneous symmetry breaking in ϕ 4 theory. The effective potential is evaluated in the D -dimensional static universe with positive curvature R ⊗ S D −1 or negative curvature R ⊗ H D −1 . It is shown that temperature and positive curvature suppress the symmetry breaking, while negative curvature enhances it. To consider the back-reaction we numerically solve the gap equation and the Einstein equation simultaneously. The solution gives the relationship between the temperature and the scale factor.