We study static magnetic susceptibility $$\chi (T, \mu )$$
χ
(
T
,
μ
)
in SU(2) lattice gauge theory with $$N_f = 2$$
N
f
=
2
light flavours of dynamical fermions at finite chemical potential $$\mu $$
μ
. 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 $$0.727 \le T/T_c \le 2.67$$
0.727
≤
T
/
T
c
≤
2.67
, the first coefficient of the expansion of $$\chi \left( T, \mu \right) $$
χ
T
,
μ
in even powers of $$\mu /T$$
μ
/
T
around $$\mu =0$$
μ
=
0
is close to that of free quarks and lies in the range $$(2, \ldots , 5) \cdot 10^{-3}$$
(
2
,
…
,
5
)
·
10
-
3
. The strongest paramagnetic response is found in the diquark condensation phase at $$\mu >m\pi /2$$
μ
>
m
π
/
2
.