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Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems

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arxiv 1907.08609 v1 pith:O7NHBXMJ submitted 2019-07-19 hep-th cond-mat.quant-gascond-mat.stat-mechhep-phnucl-th

Masaru Hongo , Suro Kim , Toshifumi Noumi , Atsuhisa Ota This is my paper · ORCID
classification hep-thcond-mat.quant-gascond-mat.stat-mechhep-phnucl-th
keywords modessystemsdiffusiveeffectiveopenassociatedlagrangiannambu-goldstone
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We develop the effective field theory of diffusive Nambu-Goldstone (NG) modes associated with spontaneous internal symmetry breaking taking place in nonequilibrium open systems. The effective Lagrangian describing semi-classical dynamics of the NG modes is derived and matching conditions for low-energy coefficients are also investigated. Due to new terms peculiar to open systems, the associated NG modes show diffusive gapless behaviors in contrast to the propagating NG mode in closed systems. We demonstrate two typical situations relevant to the condensed matter physics and high-energy physics, where diffusive type-A or type-B NG modes appear.

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Cited by 5 Pith papers

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  1. Schwinger-Keldysh effective field theory of type-B Goldstone: near-diagonal geometry and Berry term

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    A Schwinger-Keldysh effective field theory for type-B Goldstones is constructed via near-diagonal geometry and a transgression Berry term, with dissipative spectra for the ferromagnet and an SU(2)×U(1) sigma model.

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  4. Schwinger-Keldysh effective action for hydrodynamics with approximate symmetries

    hep-th 2024-11 conditional novelty 6.0 of 10

    The axial charge relaxation coefficient in the Schwinger-Keldysh effective theory of QCD must be of second order in the quark mass, Γ_A = γ_A m_q^2, subleading in the broken phase and leading in the restored phase.

  5. Lectures on Open Systems and Cosmology

    hep-th 2026-07 unverdicted novelty 1.0 of 10

    A pedagogical review that presents the density-matrix/master-equation formalism and the Schwinger–Keldysh path integral in one notation and applies them to inflation; it claims no new result.

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