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Static magnetic susceptibility in finite-density SU(2) lattice gauge theory

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arxiv 2104.10012 v2 pith:EQORMUY7 submitted 2021-04-20 hep-lat hep-phhep-th

Static magnetic susceptibility in finite-density SU(2) lattice gauge theory

classification hep-lat hep-phhep-th
keywords theorygaugeparamagneticresponsechemicallatticemagneticpotential
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study static magnetic susceptibility $\chi(T, \mu)$ in $SU(2)$ lattice gauge theory with $N_f = 2$ light flavours of dynamical fermions at finite chemical potential $\mu$. Using linear response theory we find that $SU(2)$ gauge theory exhibits paramagnetic behavior in both the high-temperature deconfined regime and the low-temperature confining regime. Paramagnetic response becomes stronger at higher temperatures and larger values of the chemical potential. For our range of temperatures $0.727 \leq T/T_c \leq 2.67$, the first coefficient of the expansion of $\chi(T, \mu)$ in even powers of $\mu/T$ around $\mu=0$ is close to that of free quarks and lies in the range $(2 \ldots 5) \cdot 10^{-3}$. The strongest paramagnetic response is found in the diquark condensation phase at $\mu > m_{\pi}/2$.

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