Bethe ansatz for a quantum supercoset sigma model

Journal Article · Sat Oct 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.086002· OSTI ID:20713777

Mann, Nelia ^[1]; Polchinski, Joseph ^[2]

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1. Department of Physics, University of California, Santa Barbara, California 93106 (United States)
2. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 (United States)

We study an integrable conformal OSp(2m+2|2m) supercoset model as an analog to the AdS{sub 5}xS{sup 5} superstring world-sheet theory. Using the known S-matrix for this system, we obtain integral equations for states of large particle number in an SU(2) sector, which are exact in the sigma model coupling constant. As a check, we derive as a limit the general classical Bethe equation of Kazakov, Marshakov, Minahan, and Zarembo. There are two distinct quantum expansions around the well-studied classical limit, the {lambda}{sup -1/2} effects and the 1/J effects. Our approach captures the first type, but not the second.

• OSTI ID: 20713777
• Journal Information: Physical Review. D, Particles Fields, Vol. 72, Issue 8; Other Information: DOI: 10.1103/PhysRevD.72.086002; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BETHE-SALPETER EQUATION
CONFORMAL INVARIANCE
COUPLING CONSTANTS
INTEGRAL CALCULUS
INTEGRAL EQUATIONS
NONLINEAR PROBLEMS
S MATRIX
SIGMA MODEL
SU-2 GROUPS
SUPERSTRING MODELS