delta. expansion of the O( N ) times O( N )-invariant. phi. sup 2. chi. sup 2 theory

Journal Article · Wed Apr 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.2911· OSTI ID:7114165

Buckley, I R.C. ^[1]; Gandhi, S K ^[2]

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1. Department of Physics, Imperial College, London SW72BZ (United Kingdom)
2. Department of Physics, Royal Holloway and Bedford New College, Egham, Surrey TW20OEX (United Kingdom)

Using the linear {delta} expansion we calculate the effective potential of the O({ital N}){times}O({ital N})-invariant {phi}{sup 2}{chi}{sup 2} theory, in 3 dimensions, to first order in {delta}. The {phi}{sub {ital a}} and {chi}{sub {ital a}} each represent {ital N} massless fields in the vector representation of O({ital N}). We find that the optimization equations give rise to two effective potentials. In one of these, the radiative corrections move the theory away from criticality; i.e., a mass term is induced by radiative corrections. In the other case the sole effect of the radiative corrections is to remove the valleys in the effective potential without the introduction of any mass term.

• OSTI ID: 7114165
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 45:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FIELD THEORIES
RADIATIVE CORRECTIONS
LAGRANGIAN FUNCTION
MASS FORMULAE
MASSLESS PARTICLES
O GROUPS
OPTIMIZATION
QUANTUM MECHANICS
RENORMALIZATION
THREE-DIMENSIONAL CALCULATIONS
CORRECTIONS
DYNAMICAL GROUPS
ELEMENTARY PARTICLES
FUNCTIONS
LIE GROUPS
MECHANICS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)