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Theta dependence of the deconfining phase transition in pure SU(N_c) Yang-Mills theories
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Recently, it has been conjectured that deconfining phase transition in SU(N_c) pure Yang-Mills theories is continuously connected to a quantum phase transition in softly broken N=1 super Yang-Mills on R^{1,2}*S^1. We exploit this conjecture to study the strength of the transition and deconfining temperature as a function of the vacuum angle theta in pure Yang-Mills. We find that the transition temperature is a decreasing function of theta in [0, \pi), in an excellent agreement with recent lattice simulations. We also predict that the transition becomes stronger for the same range of theta, and comment on the theta dependence in the large N_c limit. More lattice studies are required to test our predictions.
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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).
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