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The Center symmetry and its spontaneous breakdown at high temperatures
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We examine the role of the center Z(N) of the gauge group SU(N) in gauge theories. In this pedagogical article, we discuss, among other topics, the center symmetry and confinement and deconfinement in gauge theories and associated finite-temperature phase transitions. We also look at universal properties of domain walls separating distinct confined and deconfined bulk phases, including a description of how QCD color-flux strings can end on color-neutral domain walls, and unusual finite-volume dependence in which quarks in deconfined bulk phase seem to be "confined".
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Cited by 4 Pith papers
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Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.
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Symmetries Beget Symmetries: Ghostly Higher-Form Symmetries and the Descent Equation
Using the BV formalism, the authors show that descent equations turn ordinary higher-form symmetries into families of 'ghostly' symmetries generated by currents of nonzero ghost number.
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Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity
Constructs AKSZ sandwich SymTFTs with stacky target spaces that encode the center symmetries of Chern-Simons, Yang-Mills, and MacDowell-Mansouri gravity.
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Discrete $p$-Form Symmetry and Higher Coulomb Phases
Field theories with ℤ_N p-form symmetry generically admit a Coulomb phase where the infrared theory is Abelian p-form electrodynamics, illustrated via continuum and lattice examples.
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