On the infrared behavior of the shear spectral function in hot Yang-Mills theory

Vuorinen, Aleksi; Zhu, Y.

doi:10.1007/jhep03(2015)138

Cited by 7 publications

(5 citation statements)

References 71 publications

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“…In the realm of QCD, examples include e.g. heavy quark observables [327,328], dilepton production rates [120], as well as correlators of the bulk and shear components of the energy momentum tensor [329][330][331]. In these studies, one is typically particularly interested in the IR (ω → 0) structure of the spectral functions, which, as we have seen in Sec.…”

Section: Beyond Bulk Thermodynamics and Qcdmentioning

confidence: 99%

Perturbative Thermal QCD: Formalism and Applications

Ghiglieri,

Kurkela,

Strickland

et al. 2020

Preprint

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In this review article, we discuss the current status and future prospects of perturbation theory as a means of studying the equilibrium thermodynamics of deconfined QCD matter. We begin with a brief introduction to the general topic, after which we review in some detail the foundations and modern techniques of the real-and imaginary-time formalisms of thermal field theory, covering e.g. the different bases used in the real-time formalism, and the resummations required to deal with soft and collinear contributions. After this, we discuss the current status of applications of these techniques, including topics such as electromagnetic rates, transport coefficients, jet quenching, heavy quarks and quarkonia, and the Equations of State of hot quark-gluon plasma as well as cold and dense quark matter. Finally, we conclude with our view of the future directions of the field, i.e. how we anticipate perturbative calculations to contribute to our collective understanding of strongly interacting matter in the coming years.

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Section: Beyond Bulk Thermodynamics and Qcdmentioning

confidence: 99%

Perturbative Thermal QCD: Formalism and Applications

Ghiglieri,

Kurkela,

Strickland

et al. 2020

Preprint

Self Cite

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“…Because of those effects, "cusps" are observed in certain correlators in this region [37], which may be compared to the narrow structures shown in the holographic computation. However, these structures were not observed in the evaluation of the stress-energy tensor spectral function in [38].…”

mentioning

confidence: 91%

Transport Peak in the Thermal Spectral Function of N=4 Supersymmetric Yang-Mills Plasma at Intermediate Coupling

Casalderrey-Solana

Grozdanov

Starinets³

2018

Phys. Rev. Lett.

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We study the structure of thermal spectral function of the stress-energy tensor in N = 4 supersymmetric Yang-Mills theory at intermediate 't Hooft coupling and infinite number of colors. In gauge-string duality, this analysis reduces to the study of classical bulk supergravity with higherderivative corrections, which correspond to (inverse) coupling corrections on the gauge theory side. We extrapolate the analysis of perturbative leading-order corrections to intermediate coupling by non-perturbatively solving the equations of motion of metric fluctuations dual to the stress-energy tensor at zero spatial momentum. We observe the emergence of a separation of scales in the analytic structure of the thermal correlator associated with two types of characteristic relaxation modes. As a consequence of this separation, the associated spectral function exhibits a narrow structure in the small frequency region which controls the dynamics of transport in the theory and may be described as a transport peak typically found in perturbative, weakly interacting thermal field theories. We compare our results with generic expectations drawn from perturbation theory, where such a structure emerges as a consequence of the existence of quasiparticles.

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“…(A somewhat related computation, but for the off-shell kinematics k = 0, ω > ∼ T , has been presented in ref. [60]. )…”

Section: Discussionmentioning

confidence: 98%

Gravitational wave background from Standard Model physics: qualitative features

Ghiglieri

Laine

2015

J. Cosmol. Astropart. Phys.

118

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Because of physical processes ranging from microscopic particle collisions to macroscopic hydrodynamic fluctuations, any plasma in thermal equilibrium emits gravitational waves. For the largest wavelengths the emission rate is proportional to the shear viscosity of the plasma. In the Standard Model at T > 160 GeV, the shear viscosity is dominated by the most weakly interacting particles, right-handed leptons, and is relatively large. We estimate the order of magnitude of the corresponding spectrum of gravitational waves. Even though at small frequencies (corresponding to the sub-Hz range relevant for planned observatories such as eLISA) this background is tiny compared with that from non-equilibrium sources, the total energy carried by the high-frequency part of the spectrum is non-negligible if the production continues for a long time. We suggest that this may constrain (weakly) the highest temperature of the radiation epoch. Observing the high-frequency part directly sets a very ambitious goal for future generations of GHz-range detectors.

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On the infrared behavior of the shear spectral function in hot Yang-Mills theory

Cited by 7 publications

References 71 publications

Perturbative Thermal QCD: Formalism and Applications

Perturbative Thermal QCD: Formalism and Applications

Transport Peak in the Thermal Spectral Function of N=4 Supersymmetric Yang-Mills Plasma at Intermediate Coupling

Gravitational wave background from Standard Model physics: qualitative features

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