Exact surface and wedge exponents for polymers in two dimensions

Duplantier, B.; Saleur, H.

doi:10.1103/PhysRevLett.57.3179

Exact surface and wedge exponents for polymers in two dimensions

B. Duplantier
(
- SPhN, DAPNIA, Saclay
)
,
H. Saleur
(
- SPhN, DAPNIA, Saclay
)

Dec 22, 1986

3 pages

Published in:

Phys.Rev.Lett. 57 (1986) 3179-3182

DOI:

10.1103/PhysRevLett.57.3179

View in:

AMS MathSciNet

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Abstract: (APS)

Using conformal-invariance arguments in two dimensions, we identify the exact infinite series of basic surface conformal dimensions for polymers, checked by transfer-matrix calculations for the n=0 vector model on a strip. For a self-avoiding branched polymer of arbitrary and fixed topology, near a surface or a wedge, we give the exponent γ in two dimensions as a function of the topology and of the wedge opening angle.

64.60.Fr
61.41.+e
05.70.Jk
05.20.-y

References(19)

Figures(0)

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Exact surface and wedge exponents for polymers in two dimensions

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Critical Behavior of the Nonlinear σ\sigmaσ Model With a Free Surface: The 'Ordinary' Transition in (2+epsilon)-dimensions

Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory

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Critical Behavior of the Nonlinear $\sigma$ Model With a Free Surface: The 'Ordinary' Transition in (2+epsilon)-dimensions

The O( $n$ ) Heisenberg Model Close to $n = d = 2$