Schwinger-Keldysh effective action for a relativistic Brownian particle in the 
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 correspondence

Bu, Yanyan; Zhang, Biye

doi:10.1103/physrevd.104.086002

Cited by 9 publications

(2 citation statements)

References 72 publications

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“…The present work has some similarities with [36]; however, the perspective is quite different. In [36], the AdS/CFT correspondence in Supersymmetric Yang-Mills is taken as a starting point, while, in this work, we tried to be as agnostic as possible about the properties of the medium.…”

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confidence: 78%

An Effective Field Theory Study of Medium Heavy Quark Evolution

Escobedo

2024

Universe

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The evolution of hard probes in a medium is a complex multiscale problem that significantly benefits from the use of Effective Field Theories (EFTs). Within the EFT framework, we aim to define a series of EFTs in a way that addresses each energy scale individually in separate steps. However, studying hard probes in a medium presents challenges. This is because an EFT is typically constructed by formulating the most general Lagrangian compatible with the problem’s symmetries. Nevertheless, medium effects may not always be encoded adequately in an effective action. In this paper, we construct an EFT that is valid for studying the evolution of a heavy quark in a QCD plasma containing few other heavy quarks, where degrees of freedom with an energy of the order of the temperature scale are integrated out. Through this example, we explicitly demonstrate how to handle the doubling of degrees that arise in non-equilibrium field theory. As a result, we derive a Fokker–Planck equation using only symmetry and power counting arguments. The methods introduced in this paper will pave the way for future developments in the study of quarkonium suppression.

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confidence: 78%

An Effective Field Theory Study of Medium Heavy Quark Evolution

Escobedo

2024

Universe

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“…We provide three equivalent formulations of non-Gaussianity: EFT, Langevin equation and Fokker-Planck (FP) equation. There have been growing efforts in understanding the nonlinear effect in stochastic dynamics [9][10][11][12][13][14]. In particular, Langevin equation with one non-Gaussian noise has been realized and renormalization of the corresponding EFT has been discussed in [12].…”

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confidence: 99%

Non-Gaussianity from Nonlinear Effective Field Theory

Lin¹,

Bu²,

Chang³

2023

Preprint

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We have studied nonlinear effect in an effective field theory model. Focusing on the nonlinear terms in the fluctuation field, we have established two stochastic formulations of the effective field theory, with the nonlinear terms manifested as multiple non-Gaussian noises in the Langevin equation and as higher order diffusive terms in the Fokker-Planck equation. The equivalence of the stochastic formulations with the original effective field theory have been checked, for arbitrary nonlinear parameters, with non-trivial examples. The stochastic formulations can be used to study nonequilibrium dynamics more effectively. Our results also suggest the nonlinearity in the fluctuation field is solvable and free of divergence.

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Nearly critical superfluid: effective field theory and holography

Bu,

Gao,

Gao

et al. 2024

J. High Energ. Phys.

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We study a nearly critical superfluid system from two complementary approaches. Within the first approach, we formulate a Schwinger-Keldysh effective field theory (EFT) for the system when it is located slightly above the critical temperature. The dynamical variables in the EFT construction are two scalars: a neutral scalar associated with the conserved U(1) charge, and a complex scalar describing the order parameter. The set of symmetries, particularly the dynamical Kubo-Martin-Schwinger (KMS) symmetry and chemical shift symmetry, strictly constrains the form of EFT action. Within the second approach, using the holographic Schwinger-Keldysh technique, we derive the effective action for a “microscopic” holographic superfluid, confirming the EFT construction. A systematic inclusion of non-Gaussianity is one highlight of present study.

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Schwinger-Keldysh effective action for a relativistic Brownian particle in the AdS/CFT correspondence

Cited by 9 publications

References 72 publications

An Effective Field Theory Study of Medium Heavy Quark Evolution

An Effective Field Theory Study of Medium Heavy Quark Evolution

Non-Gaussianity from Nonlinear Effective Field Theory

Nearly critical superfluid: effective field theory and holography

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