Toward dissipative and stoch chastic c effect cts in in the EFT - - PowerPoint PPT Presentation

Toward dissipative and stoch chastic c effect cts in in the EFT T of

• f in

infla flation ion(P (P.03)

Kim Suro Kobe University

(w/ Masaru Hongo@RIKEN, Toshifumi Noumi@Kobe Univ, Atsuhisa Ota@Tokyo Tech)

Condensed matter physics

Open system

Condensed matter physics Active matters

Open system

Condensed matter physics Active matters

Open system

Cosmology

Cosmology

Cosmology

Cosmological Inflation

• Exponential expansion of space in the early universe
• Inflation is identified as de-Sitter stage with slightly

broken time-translation symmetry

• Existence of Horizon

Stochastic inflation(Integrate out the degrees of freedom inside horizon)

• Sectors coupled to Inflaton

Warm inflation Cosmological collider physics(Hidden sectors coupled with Inflaton)

Effective field theory

• Top-down EFT

Imagine that we knew the full Lagrangian of UV theory Construct the effective action for the light fields by integrating out heavy fields

• Bottom-up EFT

Assume about the symmetries of the UV theory Construct the effective action by writing down the most general action consistent with these symmetries

Effective field theory

• Top-down EFT
• Bottom-up EFT

E

• 1. Full Lagrangian of UV theory

2.Lagrangian of IR theory by Integrating out

E

• 2. Write down the most general effective

action consistent with symmetries

• 1. Symmetry structure

Effective field theory

• Top-down EFT
• Bottom-up EFT

E

• 1. Full Lagrangian of UV theory

2.Lagrangian of IR theory by Integrating out

E

• 2. Write down the most general effective

action consistent with symmetries

• 1. Symmetry structure

Effective field theory

• Symmetry structure of Closed-time path integral
• We incorporate dissipative and stochastic effects

into the EFT framework based on such a symmetry structure in flat space

Φ" 𝑌" Φ% 𝑌%

𝑢' → −∞ 𝑢+ → ∞

𝜗- 𝜗-

𝑢

Φ" 𝑌" Φ% 𝑌%

𝜗. 𝜗.

𝑢' → −∞ 𝑢+ → ∞

Broken by dissipative and stochastic effects

𝑢