Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace

Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund

doi:10.1007/jhep06(2017)069

Cited by 82 publications

(209 citation statements)

References 122 publications

(340 reference statements)

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“…Refs. [16,24] appear to require two BRST generators while [23] and [10] require only one. 3 The KMS condition itself only relates W to a time-reversed one, and so does the time reversal symmetry of the microscopic theory.…”

Section: Jhep01(2018)040mentioning

confidence: 99%

Emergent supersymmetry in local equilibrium systems

Gao

Liu

2018

J. High Energ. Phys.

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Many physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger than microscopic molecular collision scales and can be considered as in local thermal equilibrium. In this paper we show that any classical statistical system in local thermal equilibrium has an emergent supersymmetry at low energies. We use the framework of non-equilibrium effective field theory for quantum many-body systems defined on a closed time path contour and consider its classical limit. Unitarity of time evolution requires introducing anti-commuting degrees of freedom and BRST symmetry which survive in the classical limit. The local equilibrium is realized through a Z 2 dynamical KMS symmetry. We show that supersymmetry is equivalent to the combination of BRST and a specific consequence of the dynamical KMS symmetry, to which we refer as the special dynamical KMS condition. In particular, we prove a theorem stating that a system satisfying the special dynamical KMS condition is always supersymmetrizable. We discuss a number of examples explicitly, including model A for dynamical critical phenomena, a hydrodynamic theory of nonlinear diffusion, and fluctuating hydrodynamics for relativistic charged fluids.

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Section: Jhep01(2018)040mentioning

confidence: 99%

Emergent supersymmetry in local equilibrium systems

Gao

Liu

2018

J. High Energ. Phys.

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“…The Schwinger-Keldysh(SK) path integrals have been reviewed in [17,19,[33][34][35][36]. Here we will mention some key features: given a unitary QFT and a initial density matrix ρ(t = t i ) = ρ i , we define the SK path integral via…”

Section: Basics Of Schwinger-keldysh Theorymentioning

confidence: 99%

“…One of the fundamental features of the Veltman rules is a statement called the largest time equation which is fundamental to Veltman's approach to proving perturbative unitarity and cutting rules. The largest time equation is a direct consequence of the definition of SK path integral in equation (1.11) as reviewed in [34]. We will briefly summarise below the argument for the largest time equation and its relation to SK formalism.…”

Section: Basics Of Schwinger-keldysh Theorymentioning

confidence: 99%

“…We will briefly summarise below the argument for the largest time equation and its relation to SK formalism. We will refer the reader to [39] or [34] for more details.…”

Section: Basics Of Schwinger-keldysh Theorymentioning

confidence: 99%

“…The most general action, taking into account CPT symmetry(See for example, [34]) and SK boundary conditions, is given by…”

Section: Introduction To Open Effective Theorymentioning

confidence: 99%

See 2 more Smart Citations

Renormalization in open quantum field theory. Part I. Scalar field theory

Baidya

Jana

Loganayagam

et al. 2017

J. High Energ. Phys.

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While the notion of open quantum systems is itself old, most of the existing studies deal with quantum mechanical systems rather than quantum field theories. After a brief review of field theoretical/path integral tools currently available to deal with open quantum field theories, we go on to apply these tools to an open version of φ 3 + φ 4 theory in four spacetime dimensions and demonstrate its one loop renormalizability (including the renormalizability of the Lindblad structure).

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Holographic Entanglement Entropy

Rangamani

Takayanagi

2017

Lecture Notes in Physics

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350

389

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We review the developments in the past decade on holographic entanglement entropy, a subject that has garnered much attention owing to its potential to teach us about the emergence of spacetime in holography. We provide an introduction to the concept of entanglement entropy in quantum field theories, review the holographic proposals for computing the same, providing some justification for where these proposals arise from in the first two parts. The final part addresses recent developments linking entanglement and geometry. We provide an overview of the various arguments and technical developments that teach us how to use field theory entanglement to detect geometry. Our discussion is by design eclectic; we have chosen to focus on developments that appear to us most promising for further insights into the holographic map. This is a preliminary draft of a few chapters of a book which will appear sometime in the near future, to be published by Springer, as part of their Lecture Notes in Physics series. The book in addition contains a discussion of application of holographic ideas to computation of entanglement entropy in strongly coupled field theories, and discussion of tensor networks and holography, which we have chosen to exclude from the current manuscript. i AcknowledgmentsWe have been extremely fortunate to benefit from the wisdom and deep physical intuition of our wonderful collaborators Veronika Hubeny and Shinsei Ryu who played a pivotal role in helping us develop the basic picture relating quantum entanglement and holography. The importance of their role in shaping the story of holography entanglement entropy cannot be overstated.We have also enjoyed many excellent collaborations in our explorations over the past decade on this subject: thanks to

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Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace

Cited by 82 publications

References 122 publications

Emergent supersymmetry in local equilibrium systems

Emergent supersymmetry in local equilibrium systems

Renormalization in open quantum field theory. Part I. Scalar field theory

Holographic Entanglement Entropy

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