Chern-Simons number diffusion with hard thermal loops

Moore, Guy D.; Hu, C. R.; Müller, Berndt

doi:10.1103/physrevd.58.045001

Cited by 118 publications

(158 citation statements)

References 58 publications

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“…Moore, and others, have also obtained numerical results for the topological transition rate by using a more microscopic theory (analogous to a lattice version of what we called Theory 1) [31,32]. Moore also attempted to estimate the size of the NLLO correction to Γ by fitting the results of these simulations to the functional form…”

Section: Discussionmentioning

confidence: 99%

Nonperturbative dynamics of hot non-Abelian gauge fields: Beyond the leading log approximation

Arnold

Yaffe

2000

Phys. Rev. D

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Many aspects of high-temperature gauge theories, such as the electroweak baryon number violation rate, color conductivity, and the hard gluon damping rate, have previously been understood only at leading logarithmic order (that is, neglecting effects suppressed only by an inverse logarithm of the gauge coupling). We discuss how to systematically go beyond leading logarithmic order in the analysis of physical quantities. Specifically, we extend to next-to-leading-log order (NLLO) the simple leading-log effective theory due to Bödeker that describes non-perturbative color physics in hot non-Abelian plasmas. A suitable scaling analysis is used to show that no new operators enter the effective theory at next-to-leading-log order. However, a NLLO calculation of the color conductivity is required, and we report the resulting value. Our NLLO result for the color conductivity can be trivially combined with previous numerical work by G. Moore to yield a NLLO result for the hot electroweak baryon number violation rate.

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Section: Discussionmentioning

confidence: 99%

Nonperturbative dynamics of hot non-Abelian gauge fields: Beyond the leading log approximation

Arnold

Yaffe

2000

Phys. Rev. D

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“…(See also Refs. [57,58] for a different lattice implementation of the HTL effects, and Refs. [79,80,81,82] for numerical calculations within purely Yang-Mills classical theory, without HTL's.…”

Section: Effective Theory For Soft and Ultrasoft Excitationsmentioning

confidence: 99%

“…This is relevant only for space-like (ω 2 < p 2 ) external momenta, since it is only for such momenta that the energy denominator ω −v · p can vanish. In that case, the polarization tensor (B.57) develops an imaginary part, 58) which describes the absorption or the emission of a space-like gluon, with four-momentum p µ = (ω, p), by a hard particle (quark or gluon) from the thermal bath (see, fig. 31 for an example).…”

Section: B12 the Ghost And Gluon Loopsmentioning

confidence: 99%

“…(See also Refs. [55,56,57,58,59,60] for related work.) We shall not pursue this line of reasoning however, since we do not find it technically useful (it does not bring any simplifications) and it is physically misleading.…”

Section: 22)mentioning

confidence: 99%

“…Quite remarkably, by using this result within the simplified effective theory (7.61), one obtains an estimate for the hot sphaleron rate which is rather close (within 20%) to the HTL result in Refs. [58,27].…”

Section: The Boltzmann-langevin Equation: Noise and Correlationsmentioning

confidence: 99%

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The quark–gluon plasma: collective dynamics and hard thermal loops

Blaizot¹,

Iancu²

2002

Physics Reports

511

714

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We present a unified description of the high temperature phase of QCD, the so-called quark-gluon plasma, in a regime where the effective gauge coupling g is sufficiently small to allow for weak coupling calculations. The main focuss is the construction of the effective theory for the collective excitations which develop at a typical scale gT , which is well separated from the typical energy of single particle excitations which is the temperature T . We show that the short wavelength thermal fluctuations, i.e., the plasma particles, provide a source for long wavelength oscillations of average fields which carry the quantum numbers of the plasma constituents, the quarks and the gluons. To leading order in g, the plasma particles obey simple gauge-covariant kinetic equations, whose derivation from the general Dyson-Schwinger equations is outlined. By solving these equations, we effectively integrate out the hard degrees of freedom, and are left with an effective theory for the soft collective excitations. As a by-product, the "hard thermal loops" emerge naturally in a physically transparent framework. We show that the collective excitations can be described in terms of classical fields, and develop for these a Hamiltonian formalism. This can be used to estimate the effect of the soft thermal fluctuations on the correlation functions. The effect of collisions among the hard particles is also studied. In particular we discuss how the collisions affect the lifetimes of quasiparticle excitations in a regime where the mean free path is comparable with the range of the relevant interactions. Collisions play also a decisive role in the construction a Member of CNRS. E-mail: blaizot@spht.saclay.cea.fr b Member of CNRS. E-mail: iancu@spht.saclay.cea.fr c Laboratoire de la Direction des Sciences de la Matière du Commissariatà l'Energie Atomique of the effective theory for ultrasoft excitations, with momenta ∼ g 2 T , a topic which is briefly addressed at the end of this paper.

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The sphaleron rate from 4D Euclidean lattices

Mancha

2023

J. High Energ. Phys.

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We develop a new method to determine thermal activation rates, such as for bubble nucleation, topology change, etc., using 4-dimensional Euclidean methods. This allows nonperturbative study on the lattice. We then investigate the strong sphaleron rate in pure-glue QCD at temperatures between 1.3 Tc and 1000 Tc, making contact with previous results but extending them down close to the critical temperature. The extension to full QCD will be straightforward. Limitations of the proposal (the inability to compute a certain dynamical prefactor, puzzling large-volume behavior, and the inability to treat temperatures T < 1.3 Tc) are also discussed.

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Chern-Simons number diffusion with hard thermal loops

Cited by 118 publications

References 58 publications

Nonperturbative dynamics of hot non-Abelian gauge fields: Beyond the leading log approximation

Nonperturbative dynamics of hot non-Abelian gauge fields: Beyond the leading log approximation

The quark–gluon plasma: collective dynamics and hard thermal loops

The sphaleron rate from 4D Euclidean lattices

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