Mass gap of O(N) sigma models in 2-d: Support for exact results from 1/N expansion - INSPIRE

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Mass gap of O(N) sigma models in 2-d: Support for exact results from 1/N expansion

Henrik Flyvbjerg
(
- Bohr Inst.
)
,
Finn Larsen
(
- Bohr Inst.
)

Apr, 1991

7 pages

Published in:

Phys.Lett.B 266 (1991) 92-98

Published: 1991

DOI:

10.1016/0370-2693(91)90749-G

Report number:

NBI-HE-91-09

View in:

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Abstract: (Elsevier)

The mass gaps of the non-linear σ-models in 2D are given to three leading orders in 1/ N as functions of the bare coupling up to correlation lengths 150. Within the small systematic error introduced by truncating the 1 N -expansion, our results agree with available Monte Carlo results for N ⩾3. At weak coupling, our results agree with recent exact results for the mass gaps based on the Bethe ansatz and the S -matrices of the models, the two sets of results thus lending support to each other. Our calculation features “Fourier accelerated” numerical evaluation of Feynman diagrams, and the use of finite size scaling to obtain infinite volume results from finite volume results.

sigma model: nonlinear
symmetry: O(N)
dimension: 2
mass
scaling: finite size
correlation: length
Feynman graph
numerical calculations
expansion 1/N: higher-order

References(19)

Figures(0)

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