Lattice simulations at imaginary theta give evidence for a CP-broken deconfined phase at theta=pi in 4D SU(2) Yang-Mills, with T_CP close to T_dec(0) and T_dec(pi) below T_dec(0).
Witten,Large N Chiral Dynamics,Annals Phys.128 (1980) 363
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Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$
Lattice simulations at imaginary theta give evidence for a CP-broken deconfined phase at theta=pi in 4D SU(2) Yang-Mills, with T_CP close to T_dec(0) and T_dec(pi) below T_dec(0).