Spectral, statistical, and vertex functions in scalar quantum field theory far from equilibrium
We compute the far-from-equilibrium dynamics of relativistic scalar quantum fields in 3 + 1 space-time dimensions starting from over-occupied initial conditions. We determine universal scaling exponents and functions for two-point correlators and the four-vertex in a self-similar regime in time and...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
6 March 2020
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| In: |
Physical review
Year: 2020, Volume: 101, Issue: 5, Pages: 056009 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.101.056009 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.101.056009
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| Author Notes: | Linda Shen, Jürgen Berges |
| Summary: | We compute the far-from-equilibrium dynamics of relativistic scalar quantum fields in 3 + 1 space-time dimensions starting from over-occupied initial conditions. We determine universal scaling exponents and functions for two-point correlators and the four-vertex in a self-similar regime in time and space or momenta. The scaling form of the momentum-dependent four-vertex exhibits a dramatic fall-off toward low momenta. Comparing spectral functions (commutators) and statistical correlations (anticommutators) of field operators allows us to detect strong violations of the fluctuation-dissipation relation in this nonperturbative infrared regime. Based on a self-consistent expansion in the number of field components to next-to-leading order, a wide range of interaction strengths is analyzed and compared to weak-coupling estimates in effective kinetic theory and classical-statistical field theory. |
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| Item Description: | Gesehen am 01.04.2020 |
| Physical Description: | Online Resource |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.101.056009 |