Equilibrium and nonequilibrium formalisms made unified

Chou, Kuang-Chao; Su, Zhixun; Hao, Bailin; Yu, Lu

doi:10.1016/0370-1573(85)90136-x

Cited by 1,072 publications

(777 citation statements)

References 122 publications

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“…These one can argue are obtained by considering linear combinations of correlation functions with insertions on C R and C L respectively. In particular, defining J = 1 2 (J R + J L ) and j = J R −J L we can argue that the causal correlation functions of interest have a single variation with respect to the difference source j [65].…”

Section: Anomalies In the Schwinger-keldysh Formalismmentioning

confidence: 99%

“…The seminal papers by Schwinger and Keldysh are [66,67]. Our discussion will mainly follow the presentation in [65,68,69].…”

Section: F Brief Review Of Schwinger-keldysh Formalism For Hydrodynamicsmentioning

confidence: 99%

“…This becomes particularly important if the Lagrangian L[φ] has some symmetry group G acting on ϕ [65]. Then…”

Section: Jhep03(2014)034mentioning

confidence: 99%

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Effective actions for anomalous hydrodynamics

Haehl

Loganayagam

Rangamani

2014

J. High Energ. Phys.

111

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Abstract:We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies for an arbitrary flavour group, we derive the anomalous constitutive relations in arbitrary even dimensions. We demonstrate that our results agree with the constraints on anomaly governed transport derived hitherto using a local version of the second law of thermodynamics. The construction crucially uses the anomaly inflow mechanism and involves a novel thermofield double construction. In particular, we show that the anomalous Ward identities necessitate non-trivial interaction between the two parts of the Schwinger-Keldysh contour.

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Section: Anomalies In the Schwinger-keldysh Formalismmentioning

confidence: 99%

“…The seminal papers by Schwinger and Keldysh are [66,67]. Our discussion will mainly follow the presentation in [65,68,69].…”

Section: F Brief Review Of Schwinger-keldysh Formalism For Hydrodynamicsmentioning

confidence: 99%

See 1 more Smart Citation

Effective actions for anomalous hydrodynamics

Haehl

Loganayagam

Rangamani

2014

J. High Energ. Phys.

111

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“…The interested reader is referred to the excellent review by Chou et al [17] for a more exhaustive discussion.…”

Section: Some Basics Of Non-equilibrium Quantum Field Theorymentioning

confidence: 99%

“…This doubling of field variables leads to six different real-time propagators on the contour [17]. It is possible to employ fewer than six since they are not independent, but using six simplifies the notation.…”

Section: Some Basics Of Non-equilibrium Quantum Field Theorymentioning

confidence: 99%

Supersymmetric electroweak baryogenesis, non-equilibrium field theory and quantum Boltzmann equations

Riotto

1998

Nuclear Physics B

113

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The closed time-path (CTP) formalism is a powerful Green's function formulation to describe nonequilibrium phenomena in field theory and it leads to a complete nonequilibrium quantum kinetic theory. In this paper we make use of the CTP formalism to write down a set of quantum Boltzmann equations describing the local number density asymmetries of the particles involved in supersymmetric electroweak baryogenesis. These diffusion equations automatically and self-consistently incorporate the CP-violating sources which fuel baryogenesis when transport properties allow the CP-violating charges to diffuse in front of the bubble wall separating the broken from the unbroken phase at the electroweak phase transition. This is a significant improvement with respect to recent approaches where the CP-violating sources are inserted by hand into the diffusion equations. Furthermore, the CP-violating sources and the particle number changing interactions manifest "memory" effects which are typical of the quantum transport theory and are not present in the classical approach. The slowdown of the relaxation processes may keep the system out of equilibrium for longer times and therefore enhance the final baryon asymmetry. We also stress that the classical approximation is not adequate to describe the quantum interference nature of CP-violation and that a quantum approach should be adopted to compute the sources since they are most easily built up by the transmission of low momentum particles.

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Full Counting Statistics of Interacting Electrons

Bagrets¹,

Utsumi

Golubev³

et al. 2007

Elements of Quantum Information

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In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation effects associated with the statistics and effects of entanglement, but it remains a non-trivial task to account for interaction effects. In this article we present two examples: we describe electron transport through quantum dots with strong charging effects beyond perturbation theory in the tunneling, and we analyze current fluctuations in a diffusive interacting conductor.

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Equilibrium and nonequilibrium formalisms made unified

Cited by 1,072 publications

References 122 publications

Effective actions for anomalous hydrodynamics

Effective actions for anomalous hydrodynamics

Supersymmetric electroweak baryogenesis, non-equilibrium field theory and quantum Boltzmann equations

Full Counting Statistics of Interacting Electrons

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