Supersymmetric approximations to the 3D supersymmetric O(N) model

Journal Article · Sun Jan 01 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.016007· OSTI ID:20774649

Dawson, John F; Berglund, Per ^[1]; Mihaila, Bogdan ^[2]; Cooper, Fred ^[2]

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1. Department of Physics, University of New Hampshire, Durham, New Hampshire 03824 (United States)
2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We develop several nonperturbative approximations for studying the dynamics of a supersymmetric O(N) model which preserve supersymmetry. We study the phase structure of the vacuum in both the leading order in large-N approximation as well as in the Hartree approximation, and derive the finite temperature renormalized effective potential. We derive the exact Schwinger-Dyson equations for the superfield Green functions and develop the machinery for going beyond the next to leading order in large-N approximation using a truncation of these equations which can also be derived from a two-particle irreducible effective action.

• OSTI ID: 20774649
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
GREEN FUNCTION
HARTREE-FOCK METHOD
O GROUPS
POTENTIALS
QUANTUM FIELD THEORY
RENORMALIZATION
SCHWINGER FUNCTIONAL EQUATIONS
SCHWINGER SOURCE THEORY
SUPERSYMMETRY