Phases of a strongly coupled four-fermion theory

Abstract

We present ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant four-fermion interaction. As in previous studies of four-fermion and Higgs--Yukawa models with different lattice fermion discretizations, we observe a strong-coupling phase in which the system develops a mass gap without breaking any lattice symmetry. This symmetric strong-coupling phase is separated from the symmetric weak-coupling phase by a narrow region of four-fermi coupling in which the system exhibits long-range correlations.

arXiv commentContribution to the proceedings of Lattice 2017, June 18--24, Granada, Spain

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Cited by in corpus (8)

• Symmetric Mass Generation
• Symmetric Mass Generation in the 1+1 Dimensional Chiral Fermion 3-4-5-0 Model
• $SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions
• Lattice Gauge Theory for Physics Beyond the Standard Model
• Topology and strong four fermion interactions in four dimensions
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Improved coarse-graining methods on two dimensional tensor networks including fermions