# The coset construction for non-equilibrium systems

@article{Landry2019TheCC, title={The coset construction for non-equilibrium systems}, author={Michael Landry}, journal={Journal of High Energy Physics}, year={2019}, volume={2020}, pages={1-43} }

We propose a systematic coset construction of non-equilibrium effective field theories (EFTs) governing the long-distance and late-time dynamics of relativistic, finite-temperature condensed matter systems. Our non-equilibrium coset construction makes significant advances beyond more standard coset constructions in that it takes advantage of recently-developed techniques, which allow the formulation of non-equilibrium effective actions that account for quantum and thermal fluctuations as well…

## 24 Citations

### Dynamical chemistry: non-equilibrium effective actions for reactive fluids

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

We present two approaches for describing chemical reactions taking place in fluid phase. The first method mirrors the usual derivation of the hydrodynamic equations of motion by relating conserved—or…

### Effective field theory for quasicrystals and phasons dynamics

- Physics
- 2020

We build an effective field theory (EFT) for quasicrystals -- aperiodic incommensurate lattice structures -- at finite temperature, entirely based on symmetry arguments and a well-define action…

### Second sound and non-equilibrium effective field theory

- Physics
- 2020

We investigate the phenomenon of second sound in various states of matter from the perspective of non-equilibrium effective field theory (EFT). In particular, for each state of matter considered, we…

### The coset construction for particles of arbitrary spin

- PhysicsJournal of High Energy Physics
- 2021

When a Poincaré-invariant system spontaneously breaks continuous internal symmetries, Goldstones’ theorem demands the existence of massless, spin-zero excitations in a one-to-one correspondence with…

### Effective field theory for hydrodynamics without boosts

- PhysicsSciPost Physics
- 2021

We formulate the Schwinger-Keldysh effective field theory of
hydrodynamics without boost symmetry. This includes a spacetime covariant
formulation of classical hydrodynamics without boosts with an…

### Hydrodynamics in lattice models with continuous non-Abelian symmetries

- Physics
- 2020

We develop a systematic effective field theory of hydrodynamics for many-body systems on the lattice with global continuous non-Abelian symmetries. Models with continuous non-Abelian symmetries are…

### Magnetophonons & type-B Goldstones from hydrodynamics to holography

- PhysicsJournal of High Energy Physics
- 2020

We perform a detailed analysis of a large class of effective holographic models with broken translations at finite charge density and magnetic field. We exhaustively discuss the dispersion relations…

### Deformations, relaxation, and broken symmetries in liquids, solids, and glasses: A unified topological field theory.

- Physics, EducationPhysical review. E
- 2022

We combine hydrodynamic and field theoretic methods to develop a general theory of phonons as Goldstone bosons in crystals, glasses, and liquids based on nonaffine displacements and the consequent…

### J an 2 02 1 Higher-form symmetries and ’ t Hooft anomalies in non-equilibrium systems

- Physics
- 2021

We investigate the role of higher-form symmetries and two kinds of ’t Hooft anomalies in nonequilibrium systems. To aid our investigation, we extend the coset construction to account for p-form…

### Effective field theory for non-relativistic hydrodynamics

- Physics
- 2020

We write down a Schwinger-Keldysh effective field theory for non-relativistic (Galilean) hydrodynamics. We use the null background construction to covariantly couple Galilean field theories to a set…

## References

SHOWING 1-10 OF 81 REFERENCES

### Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics

- PhysicsProceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)
- 2018

We review recent progress in developing effective field theories (EFTs) for non-equilibrium processes at finite temperature, including a new formulation of fluctuating hydrodynamics, and a new proof…

### Low-energy effective field theory for finite-temperature relativistic superfluids

- Physics
- 2011

We derive the low-energy effective action governing the infrared dynamics of relativistic superfluids at finite temperature. We organize our derivation in an effective field theory fashion-purely in…

### Nonrelativistic Hydrodynamics from Quantum Field Theory: (I) Normal Fluid Composed of Spinless Schrödinger Fields

- PhysicsJournal of Statistical Physics
- 2019

We provide a complete derivation of hydrodynamic equations for nonrelativistic systems based on quantum field theories of spinless Schrödeinger fields, assuming that an initial density operator takes…

### The second law of thermodynamics from symmetry and unitarity

- Physics
- 2016

The second law of thermodynamics states that for a thermally isolated system entropy never decreases. Most physical processes we observe in nature involve variations of macroscopic quantities over…

### Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe present a detailed and self-contained analysis of the universal SchwingerKeldysh effective field theory which describes macroscopic thermal fluctuations of a relativistic field theory,…

### Relativistic fluids, superfluids, solids, and supersolids from a coset construction

- Physics
- 2014

We provide a systematic coset construction of the effective field theories governing the low-energy dynamics of relativistic fluids and solids, and of their "super" counterparts. These effective…

### Constraints on fluid dynamics from equilibrium partition functions

- Physics
- 2012

A bstractWe study the thermal partition function of quantum field theories on arbitrary stationary background spacetime, and with arbitrary stationary background gauge fields, in the long wavelength…

### Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current

- Physics
- 2017

A bstractIn this paper we further develop the fluctuating hydrodynamics proposed in [1] in a number of ways. We first work out in detail the classical limit of the hydrodynamical action, which…

### (Re-)inventing the relativistic wheel: gravity, cosets, and spinning objects

- Physics
- 2014

A bstractSpace-time symmetries are a crucial ingredient of any theoretical model in physics. Unlike internal symmetries, which may or may not be gauged and/or spontaneously broken, space-time…

### On thermal fluctuations and the generating functional in relativistic hydrodynamics

- Physics
- 2015

A bstractWe discuss a real-time generating functional for correlation functions in dis-sipative relativistic hydrodynamics which takes into account thermal fluctuations of thehydrodynamic variables.…