Symanzik's improved lagrangian for lattice gauge theory

We present results for the (color)magnetic and (color)electric screening masses of the Quark-Gluon Plasma in the presence of an external magnetic field. The screening masses are extracted from the correlators of Polyakov loops, determined by lattice QCD simulations at the physical point. We explore temperatures in the range 200 MeV T 330 MeV and magnetic field intensities up to |e|B ∼ 1.3 GeV 2 . We find that both screening masses are increasing functions of the magnetic field and that the dependence on B becomes weaker for larger temperatures. In the case of the magnetic screening mass a slight anisotropy is also observable.

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“…where DU is the functional integration over the SU (3) gauge link variables, S YM stands for the tree-level improved action [48,49]:…”

Section: B Numerical Setupmentioning

confidence: 99%

Screening masses in strong external magnetic fields

et al. 2017

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“…Recently the improvement program was studied in the context of the non-linear sigma model in two dimensions by Symanzik and collaborators [3], by Martinelli et al [4], and in four-dimensional pure Yang-Mills field by Weisz [5] and by Curci et al [6].…”

Section: Introductionmentioning

confidence: 99%

Some predictions for an improved fermion action on the lattice

Hamber

1983

Physics Letters B

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“…is the tree level improved Symanzik gauge action [80,81] and W n×m i;μν stands for the trace of the n × m rectangular parallel transport starting from site i and spanning the μ-ν directions. The rooted staggered Dirac matrix [67], so that the full range of imaginary chemical potentials, up to the first Roberge-Weiss transition line at μ I =T ¼ π=3, is available for analytic continuation.…”

Section: Simulation Detailsmentioning

confidence: 99%

Gauge-invariant screening masses and static quark free energies in Nf=2+1 QCD at nonzero baryon density

et al. 2018

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We discuss the extension of gauge-invariant electric and magnetic screening masses in the quark-gluon plasma to the case of a finite baryon density, defining them in terms of a matrix of Polyakov loop correlators. We present lattice results for N f ¼ 2 þ 1 QCD with physical quark masses, obtained using the imaginary chemical potential approach, which indicate that the screening masses increase as a function of μ B . A separate analysis is carried out for the theoretically interesting case μ B =T ¼ 3iπ, where charge conjugation is not explicitly broken and the usual definition of the screening masses can be used for temperatures below the Roberge-Weiss transition. Finally, we investigate the dependence of the static quark free energy on the baryon chemical potential, showing that it is a decreasing function of μ B , which displays a peculiar behavior as the pseudocritical transition temperature at μ B ¼ 0 is approached.

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Symanzik's improved lagrangian for lattice gauge theory

Cited by 203 publications

References 3 publications

Screening masses in strong external magnetic fields

Screening masses in strong external magnetic fields

Some predictions for an improved fermion action on the lattice

Gauge-invariant screening masses and static quark free energies in Nf=2+1 QCD at nonzero baryon density

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