2015/06/30 by Francesco Bigazzi, Aldo L. Cotrone, Roberto Sisca · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Critical phenomena #Deconfinement #Glueball #Holographic principle #Holography #Lattice (music) #Observable #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum entanglement #Scalar (mathematics) #Unruh effect #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep08(2015)090
Latex, 33 pages, 3 figures; v2: comments and references added, typos corrected; v3: minor modifications, few comments, conclusions and references added, figure added, typos corrected. Version accepted by JHEP
arxiv created 2015/07/29 · openalex publication_date 2015/08/01 · arxiv updated 2015/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Effects of the θ parameter are studied in Witten’s model of holographic 4d Yang-Mills, where θ is the coefficient of the CP-breaking topological term. First, the gravity background, including the full backreaction of the RR form dual to the θ parameter, is revisited. Then, a number of observables are computed holographically: the ground-state energy density, the string tension, the ’t Hooft loop, the light scalar glueball mass, the baryon mass scale, the critical temperature for deconfinement — and thus the whole (T, θ) phase diagram — and the entanglement entropy. A simple rule is provided to derive the θ corrections to (at least) all the CP-neutral observables of the model. Some of the observables we consider can and have been in fact studied in pure 4d Yang-Mills on the lattice. In that framework the results, obtained in the small θ regime, are given up to very few powers of θ2. The corresponding holographic results agree qualitatively with available lattice data and signal an overall mass scale reduction by θ. Moreover, being exact in θ, they provide a benchmark for higher order corrections in Yang-Mills.