Buividovich, PV 
ORCID: 0000-0002-9468-898X, Smith, D and von Smekal, L
(2020)
Electric conductivity in finite-density <i>SU</i>(2) lattice gauge theory with dynamical fermions.
PHYSICAL REVIEW D, 102 (9).
094510-.
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Abstract
We study the dependence of the electric conductivity on chemical potential in finite-density $SU(2)$ gauge theory with $N_f = 2$ flavours of rooted staggered sea quarks, in combination with Wilson-Dirac and Domain Wall valence quarks. The pion mass is reasonably small with $m_{\pi}/m_{\rho} \approx 0.4$. 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 $\sigma(T,\mu) = \sigma(T,0) \left(1 + c(T) (\mu/T)^2 + O(\mu^4)\right)$ in powers of $\mu$, which has rather weak temperature dependence and takes its maximal value $c(T) \approx 0.10 \pm 0.07$ around the critical temperature. At larger densities and lower temperatures, the conductivity quickly grows towards 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 $T_c/m_{\pi} \approx 0.4$ at $\mu=0$ is significantly smaller than in real QCD.
| Item Type: | Article |
|---|---|
| Additional Information: | 22 pages, 18 figures, RevTeX; v2: new data on larger lattices added, results updated; published version |
| Uncontrolled Keywords: | hep-lat, hep-lat, hep-ph, hep-th |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 17 Nov 2020 11:55 |
| Last Modified: | 07 Oct 2023 00:22 |
| DOI: | 10.1103/PhysRevD.102.094510 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3107244 |
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