Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results

Autor: Chaykov, Spasen, Agarwal, Nishant, Bahrami, Sina, Holman, R.
Rok vydání: 2022
Předmět:
Zdroj: JHEP 02 (2023) 094
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP02(2023)094
Popis: Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different massless self-interacting scalar quantum field theories on a Minkowski background, starting the field evolution at an arbitrary initial time. We find the counterterms that need to be added to UV-renormalize the result, including usual in-out counterterms in the dynamics and additional initial state counterterms that are required to cancel all UV divergences. We find that the late-time limit of the renormalized correlation function exhibits a linear or logarithmic growth in time, depending on whether the interaction strength is dimension-one or dimensionless, respectively. The late-time correlations match those obtained in our companion paper and, as shown there, the divergences do not indicate a real IR issue, consistent with what one would expect in Minkowski.
Comment: 20 pages, 5 figures. Matches published version
Databáze: arXiv