Vertex-resummed kinetic theory of dipole-symmetric bosons from 2PI effective action

Abstract

The formalism of non-equilibrium dynamics for the dipole-symmetric U(N) model involving N-component charged scalar fields is studied on the Schwinger-Keldysh contour by a systematic 1/N expansion of two-particle-irreducible (2PI) effective action to the next-to-leading order (NLO). The differential equations describing non-equilibrium evolution equations of two-point functions and field expectation values related to the symmetry breaking in the dynamics are derived, which encompass scatterings between modes essential in the late-time evolution and thermalization beyond the scope of the mean field. At the late-time regime of the evolution, the leading-order (LO) gradient expansion is performed to construct the vertex-resummed kinetic theory by encoding non-perturbative effects in the vertex through the resummation, which is distinct from the standard kinetic theory written by the weak-coupling expansion.

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BibTeX RIS

BibTeX

@misc{su2026vertexresummed,
  title = {{Vertex-resummed kinetic theory of dipole-symmetric bosons from 2PI effective action}},
  author = {Chun-Wei Su},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04468},
  eprint = {2611.04468},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04468},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Vertex-resummed kinetic theory of dipole-symmetric bosons from 2PI effective action
AU  - Chun-Wei Su
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04468
UR  - https://arxiv.org/abs/2611.04468
AB  - The formalism of non-equilibrium dynamics for the dipole-symmetric U(N) model involving N-component charged scalar fields is studied on the Schwinger-Keldysh contour by a systematic 1/N expansion of two-particle-irreducible (2PI) effective action to the next-to-leading order (NLO). The differential equations describing non-equilibrium evolution equations of two-point functions and field expectation values related to the symmetry breaking in the dynamics are derived, which encompass scatterings between modes essential in the late-time evolution and thermalization beyond the scope of the mean field. At the late-time regime of the evolution, the leading-order (LO) gradient expansion is performed to construct the vertex-resummed kinetic theory by encoding non-perturbative effects in the vertex through the resummation, which is distinct from the standard kinetic theory written by the weak-coupling expansion.
ER  -

Abstract

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