Chirality Production during Axion Inflation

E.V. Gorbar; A.I. Momot; I.V. Rudenok; O.O. Sobol; S.I. Vilchinskii; I.V. Oleinikova

doi:10.15407/ujpe68.11.717

Автор(и)

E.V. Gorbar Taras Shevchenko National University of Kyiv, Physics Faculty, Bogolyubov Institute for Theoretical Physics
A.I. Momot Taras Shevchenko National University of Kyiv, Physics Faculty
I.V. Rudenok Taras Shevchenko National University of Kyiv, Physics Faculty
O.O. Sobol Institute of Physics, Laboratory of Particle Physics and Cosmology, ´ Ecole Polytechnique F´ed´erale de Lausanne, Taras Shevchenko National University of Kyiv, Physics Faculty
S.I. Vilchinskii Taras Shevchenko National University of Kyiv, Physics Faculty, D´epartement de Physique Th´eorique, Center for Astroparticle Physics, Universit´e de Gen`eve
I.V. Oleinikova Kyiv National University of Technologies and Design

DOI:

https://doi.org/10.15407/ujpe68.11.717

Ключові слова:

аксiонна iнфляцiя, формалiзм градiєнтного розкладу, ефект Швiнгера, хiральна аномалiя, хiральна асиметрiя

Анотація

Ми дослiдили генерацiю хiрального заряду пiд час аксiонної iнфляцiї, де псевдоскалярне поле iнфлатона φ взаємодiє аксiально з електромагнiтним полем через доданок (β/Mp)φ E · B з безрозмiрною константою зв’язку β. Щоб описати еволюцiю електромагнiтного поля та визначити величину ⟨E · B⟩, яка завдяки хiральнiй аномалiї є джерелом хiральної асиметрiї пiд час iнфляцiї, ми використовуємо формалiзм градiєнтного розкладу. Вiн працює з набором вакуумних середнiх вiд бiлiнiйних електромагнiтних функцiй i дозволяє враховувати зворотну реакцiю згенерованих полiв на еволюцiю iнфлатона, а також швiнгерiвське народження заряджених фермiонiв. Крiм того, ми припускаємо, що згенерованi фермiони термалiзуються та внаслiдок хiрального магнiтного ефекту дають внесок до електричного струму, jCME = e²/(2π²)μ₅B, де μ₅ – хiральний хiмiчний потенцiал, який кiлькiсно визначає створену хiральну асиметрiю. Розв’язуючи систему рiвнянь для поля iнфлатона, масштабного фактора, бiлiнiйних функцiй електромагнiтного поля та хiральної густини заряду (хiрального хiмiчного потенцiалу), ми знаходимо, що генерацiя хiральної асиметрiї є досить ефективною, що вiдображається у великих значеннях хiрального хiмiчного потенцiалу в кiнцi аксiонної iнфляцiї.

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