Journal
PHYSICAL REVIEW D
Volume 95, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.95.065001
Keywords
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Funding
- JSPS KAKENHI [JP15K17719, JP16H00985]
- Rikkyo University
- MEXT
- Grants-in-Aid for Scientific Research [16H00985, 15K17719] Funding Source: KAKEN
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We introduce a lattice fermion model in one spatial dimension with supersymmetry (SUSY) but without particle number conservation. The Hamiltonian is defined as the anticommutator of two nilpotent supercharges Q and Q(dagger). Each supercharge is built solely from spinless fermion operators and depends on a parameter g. The system is strongly interacting for small g, and in the extreme limit g = 0, the number of zero-energy ground states grows exponentially with the system size. By contrast, in the large-g limit, the system is noninteracting and SUSY is broken spontaneously. We study the model for modest values of g and show that under certain conditions spontaneous SUSY breaking occurs in both finite and infinite chains. We analyze the low-energy excitations both analytically and numerically. Our analysis suggests that the Nambu-Goldstone fermions accompanying the spontaneous SUSY breaking have cubic dispersion at low energies.
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