TY - JOUR
T1 - On bound-states of the Gross Neveu model with massive fundamental fermions
AU - Frishman, Yitzhak
AU - Sonnenschein, Jacob
N1 - Publisher Copyright:
© 2018, The Author(s).
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In the search for QFT’s that admit boundstates, we reinvestigate the two dimensional Gross-Neveu model, but with massive fermions. By computing the self-energy for the auxiliary boundstate field and the effective potential, we show that there are no bound states around the lowest minimum, but there is a meta-stable bound state around the other minimum, a local one. The latter decays by tunneling. We determine the dependence of its lifetime on the fermion mass and coupling constant.
AB - In the search for QFT’s that admit boundstates, we reinvestigate the two dimensional Gross-Neveu model, but with massive fermions. By computing the self-energy for the auxiliary boundstate field and the effective potential, we show that there are no bound states around the lowest minimum, but there is a meta-stable bound state around the other minimum, a local one. The latter decays by tunneling. We determine the dependence of its lifetime on the fermion mass and coupling constant.
KW - 1/N Expansion
KW - Field Theories in Lower Dimensions
KW - Nonperturbative Effects
UR - http://www.scopus.com/inward/record.url?scp=85040105621&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2018)008
DO - 10.1007/JHEP01(2018)008
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AN - SCOPUS:85040105621
SN - 1126-6708
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 8
ER -