Vacuum Instability and Tachyon Poles in Nonasymptotically Free Field Theories
May 5, 19874 pages
Published in:
- Phys.Lett.B 199 (1987) 489-492
- Published: 1987
Report number:
- DOE-ER-40048-24-N7
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Abstract: (Elsevier)
Soni has recently noted that one-fermion-loop corrections seem to destabilize the translationally-invariant vacuum in simple chiral theories. It is shown that this result holds for all renormalizable theories, and that the inclusion of one-boson-loop corrections eradicates the problem only for asymptotically free field theories. It is also shown that this vacuum instability is indicated by tachyon poles in boson propagators and divergence of the effective coupling constant. This analysis relates the purported “vacuum instability” to well-known problems with Yukawa theories, leading to the simple interpretation that the loop expansion diverges at high momentum in non-asymptotically free field theories.- FIELD THEORY: RENORMALIZABLE
- FIELD THEORY: EFFECTIVE ACTION
- FIELD THEORY: ASYMPTOTIC FREEDOM
- STABILITY: VACUUM STATE
- POSTULATED PARTICLE: TACHYON
- FIELD EQUATIONS: SOLITON
- PERTURBATION THEORY: HIGHER-ORDER
- BOSON: PROPAGATOR
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