2023/12/21 by Riccardo Ciccone, Lorenzo Di Pietro, Ciccone, Riccardo +3 · 3 citations
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality #Nuclear physics research studies #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2312.13756
openalex publication_date 2023/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the 2d chiral Gross-Neveu model at finite temperature T and chemical potential μ. The analysis is performed by relating the theory to a SU(N)× U(1) Wess-Zumino-Witten model with appropriate levels and global identifications necessary to keep track of the fermion spin structures. At μ=0 we show that a certain ℤ2-valued 't Hooft anomaly forbids the system to be trivially gapped when fermions are periodic along the thermal circle for any N and any T>0. We also study the two-point function of a certain composite fermion operator which allows us to determine the remnants for T>0 of the inhomogeneous chiral phase configuration found at T=0 for any N and any μ. The inhomogeneous configuration decays exponentially at large distances for anti-periodic fermions while it persists for T>0 and any μ for periodic fermions, as expected from anomaly considerations. A large N analysis confirms the above findings.