1/N expansion for stochastic fields in de Sitter spacetime

G. Moreau; J. Serreau

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1/N expansion for stochastic fields in de Sitter spacetime

机译：De Satter Spacetime中随机田的展开

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We propose a 1 / N expansion of Starobinsky and Yokoyama’s effective stochastic approach for light quantum fields on superhorizon scales in de Sitter spacetime. We explicitly compute the spectrum and the eigenfunctions of the Fokker-Planck operator for a O ( N ) -symmetric theory with quartic self-interaction at leading and next-to-leading orders in this expansion. We obtain simple analytical expressions valid in various nonperturbative regimes in terms of the interaction coupling constant.

机译：我们提出了STAROBINSKY和Yokoyama在De Satter Spacetime中的超级尺度鳞片上的光量子场的有效随机方法的1 / N扩展。我们明确地计算了Fokker-Planck运营商的频谱和特征函数，以在这种扩展中领先的和下一项前导订单中的四分之一的自交互。在交互耦合常数方面，我们获得了在各种非触发制度中有效的简单分析表达式。

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《Physical review, D》 |2020年第12期|共9页
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G. Moreau; J. Serreau;
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1. Stochastic quantization of scalar fields in de Sitter spacetime [J] . de Aguiar TC, Menezes G, Svaiter NF Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2009,第7期

机译：de Sitter时空中标量场的随机量化
2. Stochastic quantization of scalar fields in de Sitter spacetime [J] . de Aguiar TC, Menezes G, Svaiter NF Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2009,第7期

机译：de Sitter时空中标量场的随机量化
3. Analytical Solutions of the Gravitational Field Equations in de Sitter and Anti-de Sitter Spacetimes [J] . R. da Rocha, E. Capelas Oliveira International Journal of Theoretical Physics . 2009,第1期

机译：de Sitter和Anti-de Sitter时空中引力场方程的解析解
4. Quantum effects from boundaries in de Sitter and anti-de Sitter spacetimes [C] . A. A. Saharian International Symposium on the Modern Physics of Compact Stars and Relativistic Gravitiy . 2014

机译：De Matter和Anti-de Satter Spacetims中边界的量子效应
5. Boundary conditions in asymptotically anti-de Sitter spacetime and the Anti-de Sitter/Conformal Field Theory correspondence. [D] . Amsel, Aaron Jesse. 2009

机译：渐近反德西特时空的边界条件和反德西特/保形场理论的对应关系。
6. Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space [O] . Gustav Holzegel, Jonathan Luk, Jacques Smulevici, -1

机译：Anti-de Sitter空间中线性场方程的渐近性质
7. Stochastic Quantization of Scalar Fields in de Sitter Spacetime [O] . T. C. De Aguiar, G. Menezes, N. F. Svaiter 2009

机译：de sitter时空中标量场的随机量化

1/N expansion for stochastic fields in de Sitter spacetime

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