Finite fixed points: Rule rather than exception

Kovner, A.; Rosenstein, B.

doi:10.1016/0370-2693(91)91332-P

Finite fixed points: Rule rather than exception

A. Kovner
(
- British Columbia U.
)
,
B. Rosenstein
(
- British Columbia U.
)

Feb 12, 1991

7 pages

Published in:

Phys.Lett.B 261 (1991) 97-103

Published: 1991

DOI:

10.1016/0370-2693(91)91332-P

Report number:

UBCTP-91-002

View in:

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Abstract: (Elsevier)

We calculate anomalous dimensions of composite operators in 2+1 dimensional scalar, Yukawa and QED theories. In the strong coupling regime the anomalous dimensions are large and some composite operators entering the lagrangian become irrelevant. Theories flow to nonperturbative fixed points. The renormalizable theories describing this limit are correspondingly the nonlinear σ-model, the four-Fermi interaction and the “chargeless” QED.

sigma model: nonlinear
symmetry: O(N)
quantum electrodynamics
four-fermion interaction
model: Yukawa
dimension: 3
operator: composite
renormalization
field theory: fixed point
approximation: strong coupling

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