Abstract
A complete account of a perturbative investigation of ground state instability is presented for a massless theory involving scalar, pseudoscalar, and Majorana spinor fields. The effective potential, dimensional regularization, and renormalization group formalisms are briefly reviewed and then applied in detail to show the semiclassical vacuum of the model is unstable due to radiative corrections when the (pseudo)scalar self-interaction strength, f, is less than the fermion-(pseudo)scalar coupling, g2. Models with stable ground states are found when f ≤ g2, and when f = g2 a supersymmetric theory is obtained. The supersymmetric case is thus encountered as a boundary between stable and unstable models. This results is discussed and is conjectured to be a general feature of supersymmetric theories. All perturbative calculations in the analysis are methodically carried out to the level of two-loop Feynman diagrams, and to this level, a variety of renormalization prescriptions are considered. The correlation of the various ultraviolet divergences for the supersymmetric model is explicitly demonstrated and shown not to hold in the general theory.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 209-278 |
| Number of pages | 70 |
| Journal | Annals of Physics |
| Volume | 106 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1977 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Stability and supersymmetry : General formalism and explicit two-loop applications. / Curtright, Thomas; Ghandour, Ghassan.
In: Annals of Physics, Vol. 106, No. 2, 1977, p. 209-278.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability and supersymmetry
T2 - General formalism and explicit two-loop applications
AU - Curtright, Thomas
AU - Ghandour, Ghassan
PY - 1977
Y1 - 1977
N2 - A complete account of a perturbative investigation of ground state instability is presented for a massless theory involving scalar, pseudoscalar, and Majorana spinor fields. The effective potential, dimensional regularization, and renormalization group formalisms are briefly reviewed and then applied in detail to show the semiclassical vacuum of the model is unstable due to radiative corrections when the (pseudo)scalar self-interaction strength, f, is less than the fermion-(pseudo)scalar coupling, g2. Models with stable ground states are found when f ≤ g2, and when f = g2 a supersymmetric theory is obtained. The supersymmetric case is thus encountered as a boundary between stable and unstable models. This results is discussed and is conjectured to be a general feature of supersymmetric theories. All perturbative calculations in the analysis are methodically carried out to the level of two-loop Feynman diagrams, and to this level, a variety of renormalization prescriptions are considered. The correlation of the various ultraviolet divergences for the supersymmetric model is explicitly demonstrated and shown not to hold in the general theory.
AB - A complete account of a perturbative investigation of ground state instability is presented for a massless theory involving scalar, pseudoscalar, and Majorana spinor fields. The effective potential, dimensional regularization, and renormalization group formalisms are briefly reviewed and then applied in detail to show the semiclassical vacuum of the model is unstable due to radiative corrections when the (pseudo)scalar self-interaction strength, f, is less than the fermion-(pseudo)scalar coupling, g2. Models with stable ground states are found when f ≤ g2, and when f = g2 a supersymmetric theory is obtained. The supersymmetric case is thus encountered as a boundary between stable and unstable models. This results is discussed and is conjectured to be a general feature of supersymmetric theories. All perturbative calculations in the analysis are methodically carried out to the level of two-loop Feynman diagrams, and to this level, a variety of renormalization prescriptions are considered. The correlation of the various ultraviolet divergences for the supersymmetric model is explicitly demonstrated and shown not to hold in the general theory.
UR - http://www.scopus.com/inward/record.url?scp=0039034604&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0039034604&partnerID=8YFLogxK
U2 - 10.1016/0003-4916(77)90312-8
DO - 10.1016/0003-4916(77)90312-8
M3 - Article
AN - SCOPUS:0039034604
VL - 106
SP - 209
EP - 278
JO - Annals of Physics
JF - Annals of Physics
SN - 0003-4916
IS - 2
ER -