Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity

dos Reis，Eduardo Antonio1; Krein，Gastão2; Netto，Tibério de Paula3; Shapiro，Ilya L.1,4,5

2019-11-10

10.1016/j.physletb.2019.134925

PHYSICS LETTERS B   影响因子和分区

0370-2693

1873-2445

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.

Curved space Nonperturbative methods Stochastic quantization

SCI

英语

通讯

Fundacao de Amparo a Pesquisa de Minas Gerais - FAPEMIG[APQ-01205-16]

Astronomy & Astrophysics ; Physics

Astronomy & Astrophysics ; Physics, Nuclear ; Physics, Particles & Fields

WOS:000494939000049

ELSEVIER

PHYSICS

2-s2.0-85072300516

Scopus

1.Departamento de FísicaICEUniversidade Federal de Juiz de Fora,Juiz de Fora,36036-330,Brazil
2.Instituto de Física TeóricaUniversidade Estadual Paulista,São Paulo,Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II,01140-070,Brazil
3.Department of PhysicsSouthern University of Science and Technology,Shenzhen,518055,China
4.Department of Theoretical PhysicsTomsk State Pedagogical University,Tomsk,634061,Russian Federation
5.National Research Tomsk State University,Tomsk,634050,Russian Federation

dos Reis，Eduardo Antonio,Krein，Gastão,Netto，Tibério de Paula,et al. Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity[J]. PHYSICS LETTERS B,2019,798.

dos Reis，Eduardo Antonio,Krein，Gastão,Netto，Tibério de Paula,&Shapiro，Ilya L..(2019).Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity.PHYSICS LETTERS B,798.

dos Reis，Eduardo Antonio,et al."Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity".PHYSICS LETTERS B 798(2019).