SciPost Submission Page
Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
by Yang-yang Tan, Yong-rui Chen, Wei-jie Fu
|As Contributors:||Wei-jie Fu|
|Arxiv Link:||https://arxiv.org/abs/2107.06482v3 (pdf)|
|Date submitted:||2021-10-20 03:59|
|Submitted by:||Fu, Wei-jie|
|Submitted to:||SciPost Physics|
In this paper, the real-time dynamics of the $O(4)$ scalar theory is studied within the functional renormalization group formulated on the Schwinger-Keldysh closed time path. The flow equations for the effective action and its $n$-point correlation functions are derived in terms of the "classical" and "quantum" fields, and a concise diagrammatic representation is presented. An analytic expression for the flow of the four-point vertex is obtained. Spectral functions with different values of temperature and momentum are obtained. Moreover, we calculate the dynamical critical exponent for the phase transition near the critical temperature in the $O(4)$ scalar theory in $3+1$ dimensions, and the value is found to be $z\simeq 2.023$.
Author comments upon resubmission
List of changes
1) Minor modification for the text on page 14 is made.
2) We have modified the discussion in the paragraph below Eq.(21), and a new reference (arXiv: 1611.07301) is added.
Submission & Refereeing History
You are currently on this page
Reports on this Submission
Anonymous Report 1 on 2021-10-21 (Invited Report)
I thank the authors for considering my suggestions.
I am not convinced that the formulation concerning "thermal equilibrium" after Eq. (21) is completely correct, but this issue will probably have to be resolved by additional studies in the future. However, it is now clearly formulated what was done in the manuscript.
I therefore recommend publication without further changes.