中国物理B ›› 2023, Vol. 32 ›› Issue (11): 119801-119801.doi: 10.1088/1674-1056/acea6a

• • 上一篇    

Thermodynamics of warm axionic Abelian gauge inflation

Xi-Bin Li(李喜彬)1,2,† and Yan-Ling Wu(武燕玲)1,2   

  1. 1 College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China;
    2 Inner Mongolia Key Laboratory for Physics and Chemistry of Functional Materials, Inner Mongolia Normal University, Hohhot 010022, China
  • 收稿日期:2023-05-28 修回日期:2023-07-03 接受日期:2023-07-26 出版日期:2023-10-16 发布日期:2023-10-16
  • 通讯作者: Xi-Bin Li E-mail:lxbimnu@imnu.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 11864030 and 62061037), Inner Mongolia Natural Science Foundation (Grant Nos. 2021LHBS01001 and 2020BS02011), and the Scientific Research Funding Project for Introduced High Level Talents of IMNU (Grant No. 2020YJRC001).

Thermodynamics of warm axionic Abelian gauge inflation

Xi-Bin Li(李喜彬)1,2,† and Yan-Ling Wu(武燕玲)1,2   

  1. 1 College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China;
    2 Inner Mongolia Key Laboratory for Physics and Chemistry of Functional Materials, Inner Mongolia Normal University, Hohhot 010022, China
  • Received:2023-05-28 Revised:2023-07-03 Accepted:2023-07-26 Online:2023-10-16 Published:2023-10-16
  • Contact: Xi-Bin Li E-mail:lxbimnu@imnu.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 11864030 and 62061037), Inner Mongolia Natural Science Foundation (Grant Nos. 2021LHBS01001 and 2020BS02011), and the Scientific Research Funding Project for Introduced High Level Talents of IMNU (Grant No. 2020YJRC001).

摘要: Inflationary spectral index from the Langevin equation is calculated under the frame of warm inflationary scenario with inflaton interacting with U(1) gauge fields through the Chern-Simons coupling $\propto\phi F_{\mu\nu}\tilde{F}^{\mu\nu}/f$. Under the strong dissipative condition, the spectral index is calculated in terms of the ratio of Hubble parameter to temperature H/T. Then relation between H/T and other cosmic parameters is analytically expressed, based on which a spectral index related to the Chern-Simons coupling strength is further obtained. Numerical results show that cosmic temperature T closes to a constant during inflation and decreases after inflation without a reheating process. Meanwhile, the ratio H/T tends to a constant if the gauged coupling constant is less than a threshold. This phenomenon shows that cosmic temperature may be an important physical parameter with a special value and adiabatic approximation still holds. We obtain the estimate H/T≤0.3377 during inflation from Planck data and other constraint conditions.

关键词: axion inflation, thermodynamics

Abstract: Inflationary spectral index from the Langevin equation is calculated under the frame of warm inflationary scenario with inflaton interacting with U(1) gauge fields through the Chern-Simons coupling $\propto\phi F_{\mu\nu}\tilde{F}^{\mu\nu}/f$. Under the strong dissipative condition, the spectral index is calculated in terms of the ratio of Hubble parameter to temperature H/T. Then relation between H/T and other cosmic parameters is analytically expressed, based on which a spectral index related to the Chern-Simons coupling strength is further obtained. Numerical results show that cosmic temperature T closes to a constant during inflation and decreases after inflation without a reheating process. Meanwhile, the ratio H/T tends to a constant if the gauged coupling constant is less than a threshold. This phenomenon shows that cosmic temperature may be an important physical parameter with a special value and adiabatic approximation still holds. We obtain the estimate H/T≤0.3377 during inflation from Planck data and other constraint conditions.

Key words: axion inflation, thermodynamics

中图分类号:  (Cosmology)

  • 98.80.-k
98.80.Bp (Origin and formation of the Universe) 98.80.Es (Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)) 05.70.Ce (Thermodynamic functions and equations of state)