Built on

M. Hongo, S. Kim, T. Noumi, and A. Ota, “Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems,” arXiv:1907.08609 [hep-th]
Original
1907
Earlier work this paper cites.
Y. Hidaka and Y. Minami, “Spontaneous symmetry breaking and Nambu-Goldstone modes in open classical and quantum systems,” arXiv:1907.08241 [hep-th]
Original
1907
Earlier work this paper cites.
A. J. Beekman, L. Rademaker, and J. van Wezel, “An Introduction to Spontaneous Symmetry Breaking,” SciPost Phys. Lect. Notes
Original
1909
Earlier work this paper cites.
M. J. Landry, “The coset construction for non-equilibrium systems,” arXiv:1912.12301 [hep-th]
Original
1912
Earlier work this paper cites.
R. Kubo, “Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems,” J. Phys. Soc. Jap
1957
Earlier work this paper cites.
P. C. Martin and J. S. Schwinger, “Theory of many particle systems. 1.,” Phys. Rev
1959
Earlier work this paper cites.
R. P. Feynman and F. L. Vernon, Jr., “The Theory of a general quantum system interacting with a linear dissipative system,” Annals Phys
1963
Earlier work this paper cites.
M. J. G. Veltman, “Unitarity and causality in a renormalizable field theory with unstable particles,” Physica
1963
Earlier work this paper cites.
S. R. Coleman, J. Wess, and B. Zumino, “Structure of phenomenological Lagrangians. 1.,” Phys.Rev
1969
Earlier work this paper cites.
J. Callan, Curtis G., S. R. Coleman, J. Wess, and B. Zumino, “Structure of phenomenological Lagrangians. 2.,” Phys.Rev
1969
Earlier work this paper cites.
B. I. Halperin and P. C. Hohenberg, “Hydrodynamic Theory of Spin Waves,” Phys. Rev
1969
Earlier work this paper cites.
A. B. Harris, D. Kumar, B. I. Halperin, and P. C. Hohenberg, “Dynamics of an Antiferromagnet at Low Temperatures: Spin-Wave Damping and Hydrodynamics,” Phys. Rev. B
1971
Earlier work this paper cites.
D. V. Volkov, “Phenomenological Lagrangians,” Fiz. Elem. Chast. Atom. Yadra
1973
Earlier work this paper cites.
V. I. Ogievetsky, “ Nonlinear Realizations of Internal and Space-time Symmetries ,” Proc. of. X-th Winter. School of Theoretical Physics in Karpacz, Vol. 1, Wroclaw 227 (1974)
1974
Earlier work this paper cites.
A. J. Niemi and G. W. Semenoff, “Thermodynamic Calculations in Relativistic Finite Temperature Quantum Field Theories,” Nucl. Phys. B
1984
Earlier work this paper cites.
A. Niemi and G. Semenoff, “Finite Temperature Quantum Field Theory in Minkowski Space,” Annals Phys
1984
Earlier work this paper cites.
N. Landsman and C. van Weert, “Real and Imaginary Time Field Theory at Finite Temperature and Density,” Phys. Rept
1987
Earlier work this paper cites.
H. Leutwyler, “On the foundations of chiral perturbation theory,” Annals Phys
1994
Earlier work this paper cites.
H. Leutwyler, “Nonrelativistic effective Lagrangians,” Phys. Rev. D
1994
Earlier work this paper cites.

Similar

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S. Weinberg, The quantum theory of fields. Vol. 2: Modern applications · 1996
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1996
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2003
Cited alongside, same era.

Then

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2014
Later among the works it cites.
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L. M. Sieberer, A. Chiocchetta, A. Gambassi, U. C. Täuber, and S. Diehl, “Thermodynamic Equilibrium as a Symmetry of the Schwinger-Keldysh Action,” Phys. Rev. B
Original
2015
Later among the works it cites.
F. M. Haehl, R. Loganayagam, and M. Rangamani, “The eightfold way to dissipation,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
F. M. Haehl, R. Loganayagam, and M. Rangamani, “Adiabatic hydrodynamics: The eightfold way to dissipation,” JHEP

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2023

The Schwinger-Keldysh Coset Construction

Akyuz, Can Onur, Goon, Garrett, Penco, Riccardo

Understand

The coset construction is a tool for systematically building low energy effective actions for Nambu-Goldstone modes.

This technique is typically used to compute time-ordered correlators appropriate for $S$-matrix computations for systems in their ground state.
In this paper, we extend this technique to the Schwinger-Keldysh formalism, which enables one to calculate a wider variety of correlators and applies also to systems in a mixed state.
We focus our attention on internal symmetries and demonstrate that, after identifying the appropriate symmetry breaking pattern, Schwinger-Keldysh effective actions for Nambu-Goldstone modes can be constructed using the standard rules of the coset construction.

Built on

M. Hongo, S. Kim, T. Noumi, and A. Ota, “Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems,” arXiv:1907.08609 [hep-th]
Original
1907
Earlier work this paper cites.
Y. Hidaka and Y. Minami, “Spontaneous symmetry breaking and Nambu-Goldstone modes in open classical and quantum systems,” arXiv:1907.08241 [hep-th]
Original
1907
Earlier work this paper cites.
A. J. Beekman, L. Rademaker, and J. van Wezel, “An Introduction to Spontaneous Symmetry Breaking,” SciPost Phys. Lect. Notes
Original
1909
Earlier work this paper cites.
M. J. Landry, “The coset construction for non-equilibrium systems,” arXiv:1912.12301 [hep-th]
Original
1912
Earlier work this paper cites.
R. Kubo, “Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems,” J. Phys. Soc. Jap
1957
Earlier work this paper cites.
P. C. Martin and J. S. Schwinger, “Theory of many particle systems. 1.,” Phys. Rev
1959
Earlier work this paper cites.
R. P. Feynman and F. L. Vernon, Jr., “The Theory of a general quantum system interacting with a linear dissipative system,” Annals Phys
1963
Earlier work this paper cites.
M. J. G. Veltman, “Unitarity and causality in a renormalizable field theory with unstable particles,” Physica
1963
Earlier work this paper cites.
S. R. Coleman, J. Wess, and B. Zumino, “Structure of phenomenological Lagrangians. 1.,” Phys.Rev
1969
Earlier work this paper cites.
J. Callan, Curtis G., S. R. Coleman, J. Wess, and B. Zumino, “Structure of phenomenological Lagrangians. 2.,” Phys.Rev
1969
Earlier work this paper cites.
B. I. Halperin and P. C. Hohenberg, “Hydrodynamic Theory of Spin Waves,” Phys. Rev
1969
Earlier work this paper cites.
A. B. Harris, D. Kumar, B. I. Halperin, and P. C. Hohenberg, “Dynamics of an Antiferromagnet at Low Temperatures: Spin-Wave Damping and Hydrodynamics,” Phys. Rev. B
1971
Earlier work this paper cites.
D. V. Volkov, “Phenomenological Lagrangians,” Fiz. Elem. Chast. Atom. Yadra
1973
Earlier work this paper cites.
V. I. Ogievetsky, “ Nonlinear Realizations of Internal and Space-time Symmetries ,” Proc. of. X-th Winter. School of Theoretical Physics in Karpacz, Vol. 1, Wroclaw 227 (1974)
1974
Earlier work this paper cites.
A. J. Niemi and G. W. Semenoff, “Thermodynamic Calculations in Relativistic Finite Temperature Quantum Field Theories,” Nucl. Phys. B
1984
Earlier work this paper cites.
A. Niemi and G. Semenoff, “Finite Temperature Quantum Field Theory in Minkowski Space,” Annals Phys
1984
Earlier work this paper cites.
N. Landsman and C. van Weert, “Real and Imaginary Time Field Theory at Finite Temperature and Density,” Phys. Rept
1987
Earlier work this paper cites.
H. Leutwyler, “On the foundations of chiral perturbation theory,” Annals Phys
1994
Earlier work this paper cites.
H. Leutwyler, “Nonrelativistic effective Lagrangians,” Phys. Rev. D
1994
Earlier work this paper cites.

Similar

Cambridge University Press, 1996
S. Weinberg, The quantum theory of fields. Vol. 2: Modern applications · 1996
Cited alongside, same era.
Y. Takahashi and H. Umezawa, “Thermo field dynamics,” Int. J. Mod. Phys
1996
Cited alongside, same era.
P. Arnold and L. G. Yaffe, “Effective theories for real-time correlations in hot plasmas,” Physical Review D
1998
Cited alongside, same era.
C. P. Burgess, “Goldstone and pseudoGoldstone bosons in nuclear, particle and condensed matter physics,” Phys. Rept
2000
Cited alongside, same era.
A. A. Radovskaya and A. G. Semenov, “Semiclassical approximation meets Keldysh–Schwinger diagrammatic technique: scalar φ 4 \varphi^{4} ,” Eur. Phys. J. C
Original
2003
Cited alongside, same era.