1996/09/02 by Kenichi L. Ishikawa, Ishikawa, Ken-ichi, Tomohiro Inagaki +4
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.hep-th/9609018
openalex publication_date 1996/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a four-fermion theory as a simple model of dynamical symmetry breaking in flat space with non-trivial topology, motivated from recent studies in similar considerations in curved space. The phase structure is investigated, by developing a useful formalism to evaluate the effective potential in arbitrary compactified flat space in 3- and 4-dimensional spacetime. The phase structure is significantly altered due to the finite volume effect in the compactified space. Interestingly, the effect works in different way depending on the boundary condition of the fermion fields. The physical interpretation of the results and its implication on the dynamical symmetry breaking phenomenon in curved space are discussed.