Quasigluon lifetime and confinement from first principles

Siringo, Fabio

doi:10.1103/physrevd.96.114020

Cited by 20 publications

(31 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We recall that the Källén-Lehmann spectral integral allows only for branch cuts along the negative real axis, while certain analytical approaches, or fits to lattice data based thereon, entail the presence of e.g. complex conjugate poles, in se incompatible with the Källén-Lehmann spectral structure [17,30,31,32,28,33,34]. As a future improvement of our method, such complex conjugate poles could therefore be included in the inversion method.…”

Section: Resultsmentioning

confidence: 99%

Spectral representation of lattice gluon and ghost propagators at zero temperature

et al. 2020

View full text Add to dashboard Cite

We consider the analytic continuation of Euclidean propagator data obtained from 4D simulations to Minkowski space. In order to perform this continuation, the common approach is to first extract the Källén-Lehmann spectral density of the field. Once this is known, it can be extended to Minkowski space to yield the Minkowski propagator. However, obtaining the Källén-Lehmann spectral density from propagator data is a well known ill-posed numerical problem. To regularize this problem we implement an appropriate version of Tikhonov regularization supplemented with the Morozov discrepancy principle. We will then apply this to various toy model data to demonstrate the conditions of validity for this method, and finally to zero temperature gluon and ghost lattice QCD data. We carefully explain how to deal with the IR singularity of the massless ghost propagator. We also uncover the numerically different performance when using two -mathematically equivalent-versions of the Källén-Lehmann spectral integral.

show abstract

Section: Resultsmentioning

confidence: 99%

Spectral representation of lattice gluon and ghost propagators at zero temperature

et al. 2020

View full text Add to dashboard Cite

show abstract

“…[11]. Reference [35] presents the pole trajectory in the longwavelength limit with varying T in a similar model and reports a crossover of the pole location near the deconfinement temperature. It would be interesting to consider the pole structure and the confinement/Higgs crossover in the finite-temperature, especially in relation to the deconfinement transition, and a comparison with phenomenological quasiparticle models of massive gluon [13].…”

Section: Related Topics and Future Workmentioning

confidence: 99%

Complex poles and spectral function of Yang-Mills theory

Hayashi

Kondo

2019

Phys. Rev. D

View full text Add to dashboard Cite

We derive general relationships between the number of complex poles of a propagator and the sign of the spectral function originating from the branch cut in the Minkowski region under some assumptions on the asymptotic behaviors of the propagator. We apply this relation to the massdeformed Yang-Mills model with one-loop quantum corrections, which is identified with a low-energy effective theory of the Yang-Mills theory, to show that the gluon propagator in this model has a pair of complex conjugate poles or "tachyonic" poles of multiplicity two, in accordance with the fact that the gluon field has a negative spectral function, while the ghost propagator has at most one "unphysical" pole. Finally, we discuss implications of these results for gluon confinement and other nonperturbative aspects of the Yang-Mills theory.

show abstract

“…The method relies on a screened massive expansion, with massive propagators in the internal gluon lines of Feynman graphs, and is derived from the exact Faddeev-Popov Lagrangian of pure Yang-Mills theory, from first principles, without adding any phenomenological parameter. The expansion can be seen to emerge from the Gaussian effective potential [43,45] which provides a simple argument for the dynamical mass generation of the gluon and has been also studied at finite temperature [44,45].…”

Section: Introductionmentioning

confidence: 99%

Gluon propagator in linear covariant Rξ gauges

Siringo

Comitini

2018

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

Explicit analytical expressions are derived for the gluon propagator in a generic linear covariant R ξ gauge, by a screened massive expansion for the exact Faddeev-Popov Lagrangian of pure Yang-Mills theory. At one-loop, if the gauge invariance of the pole structure is enforced, the gluon dressing function is entirely and uniquely determined, without any free parameter or external input. The gluon propagator is found finite in the IR for any ξ, with a slight decrease of its limit value when going from the Landau gauge (ξ ¼ 0) toward the Feynman gauge (ξ ¼ 1). An excellent agreement is found with the lattice in the range 0 < ξ < 0.5 where the data are available.

show abstract

Quasigluon lifetime and confinement from first principles

Cited by 20 publications

References 51 publications

Spectral representation of lattice gluon and ghost propagators at zero temperature

Spectral representation of lattice gluon and ghost propagators at zero temperature

Complex poles and spectral function of Yang-Mills theory

Gluon propagator in linear covariant Rξ gauges

Contact Info

Product

Resources

About