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Nonrelativistic fermionic energy gap in the nonabelian gauge systems

Bo-Jie Huang

Institute of Atomic and Molecular Sciences, Academia Sinica, No. 1, Roosevelt Rd., Sec. 4, Taipei 10617, Taiwan

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and

Chyh-Hong Chern

Department of Physics, National Taiwan University, Taipei 10617, Taiwan

E-mail Address: chchern@ntu.edu.tw

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https://doi.org/10.1142/S0217979217501260Cited by:1 (Source: Crossref)

Abstract

We demonstrate that the nonrelativistic fermions open the energy gap when the SU( $N$ ) gauge bosons, mediating the interaction between fermions, acquire the mass. Surprisingly, even though there is the SU( $N$ ) gauge symmetry, there is always one fermionic energy gap which is not degenerate to the rest of the $N - 1$ fermions for $N \geq 3$ in the fundamental representation.

Keywords:

PACS: 11.15.Bt, 11.15.Ex, 74.72.Kf

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