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PreprintCC BY 4.0arXiv

Nonthermal fixed point for massless scalar field theories

  • Viktoria Noel
  • Chuang Huang
  • Aleksandr N. Mikheev
  • Jürgen Berges
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Abstract

We compute universal scaling exponents and scaling functions for massless scalar field theories far from equilibrium. Using a large-N expansion to next-to-leading order, we investigate the nonperturbative infrared behaviour associated with the transport of a) energy or b) effective particle number towards low frequencies ω and momenta p̅. For massless dispersion ω= p̅, we determine the scaling form of the distribution function whose universal power-law tail fS(p̅) ∼ 1/p̅κ is found to be a) κ= d+1 and b) κ= d in d=3 spatial dimensions. Our results establish that relativistic and nonrelativistic theories do not belong to the same universality class in this case, which opens up new applications to far-from-equilibrium phenomena in high-energy and (quantum) many-body physics with linear dispersions.

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Cite

BibTeXRIS
BibTeX
@misc{noel2026nonthermal,
  title = {{Nonthermal fixed point for massless scalar field theories}},
  author = {Viktoria Noel and Chuang Huang and Aleksandr N. Mikheev and Jürgen Berges},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26491},
  eprint = {2609.26491},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26491},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonthermal fixed point for massless scalar field theories
AU  - Viktoria Noel
AU  - Chuang Huang
AU  - Aleksandr N. Mikheev
AU  - Jürgen Berges
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26491
UR  - https://arxiv.org/abs/2609.26491
AB  - We compute universal scaling exponents and scaling functions for massless scalar field theories far from equilibrium. Using a large-N expansion to next-to-leading order, we investigate the nonperturbative infrared behaviour associated with the transport of a) energy or b) effective particle number towards low frequencies ω and momenta p̅. For massless dispersion ω= p̅, we determine the scaling form of the distribution function whose universal power-law tail f_S(p̅) ∼ 1/p̅^κ is found to be a) κ= d+1 and b) κ= d in d=3 spatial dimensions. Our results establish that relativistic and nonrelativistic theories do not belong to the same universality class in this case, which opens up new applications to far-from-equilibrium phenomena in high-energy and (quantum) many-body physics with linear dispersions.
ER  -