Journal Article

PUBDB-2021-03457

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Electric conductivity in finite-density $SU(2)$ lattice gauge theory with dynamical fermions

Buividovich, P. V. ; Smith, D. ; von Smekal, L.

2020
Inst. Melville, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.102.094510  doi:10.3204/PUBDB-2021-03457

Report No.: arXiv:2007.05639

Abstract: We study the dependence of the electric conductivity on chemical potential in finite-density SU(2) gauge theory with Nf=2 flavors of rooted staggered sea quarks, in combination with Wilson-Dirac and domain-wall valence quarks. The pion mass is reasonably small with mπ/mρ≈0.4. We concentrate in particular on the vicinity of the chiral crossover, where we find the low-frequency electric conductivity to be most sensitive to small changes in fermion density. Working in the low-density QCD-like regime with spontaneously broken chiral symmetry, we obtain an estimate of the first nontrivial coefficient c(T) of the expansion of conductivity σ(T,μ)=σ(T,0)(1+c(T)(μ/T)2+O(μ4)) in powers of μ, which has rather weak temperature dependence and takes its maximal value c(T)≈0.10±0.07 around the critical temperature. At larger densities and lower temperatures, the conductivity quickly grows toward the diquark condensation phase and also becomes closer to the free-quark result. As a by-product of our study we confirm the conclusions of previous studies with heavier pion that for SU(2) gauge theory the ratio of crossover temperature to pion mass Tc/mπ≈0.4 at μ=0 is significantly smaller than in real QCD.

Keyword(s): conductivity: electric ; pi: mass ; potential: chemical ; fermion: density ; quark: valence ; quark: sea ; spontaneous symmetry breaking: chiral ; diquark: condensation ; symmetry: chiral ; SU(2) ; gauge field theory ; temperature ; quantum chromodynamics ; lattice field theory ; critical phenomena ; domain wall ; staggered ; flavor ; Lattice field theories, lattice QCD

Note: 21 pages, 18 figures, RevTeX; v2: new data on larger lattices added, results updated; published version

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Research Program(s):

1. CREMLINplus - Connecting Russian and European Measures for Large-scale Research Infrastructures - plus (871072) (871072)

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