Ksenzov, V. G.; Romanov, A. I. Phase transitions in models with discrete symmetry. (English) Zbl 1305.81092 Mod. Phys. Lett. A 29, No. 38, Article ID 1450200, 9 p. (2014). Summary: We investigate a class of models with a massless fermion and a self-interacting scalar field with the Yukawa interaction between these two fields. The models considered are formulated in two and four spacetime dimensions and possess a discrete symmetry. We calculate the chiral condensates which are calculated in the one-loop approximation. We show that the models have phase transitions as a function of the coupling constants. MSC: 81R40 Symmetry breaking in quantum theory 82B26 Phase transitions (general) in equilibrium statistical mechanics Keywords:phase transition; Yukawa interaction; discrete symmetry × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] DOI: 10.1016/j.physletb.2009.11.017 · doi:10.1016/j.physletb.2009.11.017 [2] DOI: 10.1103/PhysRevD.84.025004 · doi:10.1103/PhysRevD.84.025004 [3] DOI: 10.1016/0550-3213(74)90088-1 · doi:10.1016/0550-3213(74)90088-1 [4] DOI: 10.1103/PhysRevD.53.5821 · doi:10.1103/PhysRevD.53.5821 [5] DOI: 10.1103/PhysRev.122.345 · doi:10.1103/PhysRev.122.345 [6] DOI: 10.1103/PhysRevD.10.3235 · doi:10.1103/PhysRevD.10.3235 [7] DOI: 10.1134/S1063778813020129 · doi:10.1134/S1063778813020129 [8] Polyakov A. M., Pis’ma Zh. Eksp. Teor. Fiz. 12 pp 538– (1970) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.