The stability of the scalar {chi}{sup 2}{phi} interaction

Journal Article · Fri Feb 16 00:00:00 EST 2001 · Physical Review

OSTI ID:775029

Gross, Franz; Savkli, Cetin; Tjon, John

A scalar field theory with a {chi}{dagger}{chi}{phi} interaction is known to be unstable. Yet it has been used frequently without any sign of instability in standard text book examples and research articles. In order to reconcile these seemingly conflicting results, we show that the theory is stable if the Fock space of all intermediate states is limited to a finite number of {chi}{bar {chi}} loops associated with field {chi} that appears quadradically in the interaction, and that instability arises only when intermediate states include these loops to all orders.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 775029
• Report Number(s): JLAB-THY-01-07; DOE/ER/40150-1811; nucl-th/0102041; WM-01-103; TRN: US0200922
• Journal Information: Physical Review, Vol. D, Issue 64; Other Information: No journal information given for this preprint; PBD: 16 Feb 2001; PBD: 16 Feb 2001
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
INSTABILITY
SCALAR FIELDS
SCALARS
STABILITY