Continuity, deconfinement, and (super) Yang-Mills theory
By E. Poppitz, T. Schäfer, M. Unsal. 2012
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A bstractWe study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on $ {{\mathbb{R}}^3}\times {{\mathbb{S}}^1} $ as a function of the fermion mass m and the compactification scale L. This theory reduces to thermal pure gauge theory as m → ∞ and to circle-compactified (non-thermal) supersymmetric gluodynamics in the limit m → 0. In the m-L plane, there is a line of center-symmetry changing phase transitions. In the limit m → ∞, this transition takes place at Lc = 1/Tc, where Tc is the critical temperature of the deconfinement transition in pure Yang-Mills theory. We show that near m = 0, the critical compactification scale Lc can be computed using semi-classical methods and that the transition is of second order. This suggests that the deconfining phase transition in pure Yang-Mills theory is continuously connected to a transition that can be studied at weak coupling. The center-symmetry changing phase transition arises from the competition of perturbative contributions and monopole-instantons that destabilize the center, and topological molecules (neutral bions) that stabilize the center. The contribution of molecules can be computed using supersymmetry in the limit m = 0, and via the Bogomolnyi-Zinn-Justin (BZJ) prescription in non-supersymmetric gauge theory. Finally, we also give a detailed discussion of an issue that has not received proper attention in the context of N = 1 theories — the non-cancellation of nonzero-mode determinants around supersymmetric BPS and KK monopole-instanton backgrounds on $ {{\mathbb{R}}^3}\times {{\mathbb{S}}^1} $. We explain why the non-cancellation is required for consistency with holomorphy and supersymmetry and perform an explicit calculation of the one-loop determinant ratio.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/053af87db42dc6b14eccc4388f2731e97a4c1422
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model (2012, background): “This is the same as the role that the neutral bion plays in non-abelian gauge theory [11, 17].”