| Full text | |
| Author(s): |
dos Reis, Eduardo Antonio
[1]
;
Krein, Gastao
[2]
;
de Paula Netto, Tiberio
[3]
;
Shapiro, Ilya L.
[1, 4, 5]
Total Authors: 4
|
| Affiliation: | [1] Univ Fed Juiz de Fora, ICE, Dept Fis, BR-36036330 Juiz De Fora, MG - Brazil
[2] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz, 271 Bloco 2, BR-01140070 Sao Paulo, SP - Brazil
[3] Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055 - Peoples R China
[4] Tomsk State Pedag Univ, Dept Theoret Phys, Tomsk 634061 - Russia
[5] Natl Res Tomsk State Univ, Tomsk 634050 - Russia
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Physics Letters B; v. 798, NOV 10 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We employ stochastic quantization for a self-interacting nonminimal massive scalar field in curved spacetime. The covariant background field method and local momentum space representation are used to obtain the Euclidean correlation function and evaluate multi-loop quantum corrections through simultaneous expansions in the curvature tensor and its covariant derivatives and in the noise fields. The stochastic correlation function for a quartic self-interaction reproduces the well-known one-loop result by Bunch and Parker and is used to construct the effective potential in curved spacetime in an arbitrary dimension D up to the first order in curvature. Furthermore, we present a sample of numerical simulations for D = 3 in the first order in curvature. We consider the model with spontaneous symmetry breaking and obtain fully nonperturbative solutions for the vacuum expectation value of the scalar field and compare them with one- and two-loop solutions. (C) 2019 The Authors. Published by Elsevier B.V. (AU) | |
| FAPESP's process: | 13/01907-0 - São Paulo Research and Analysis Center |
| Grantee: | Sergio Ferraz Novaes |
| Support Opportunities: | Research Projects - Thematic Grants |