The Dyson equation for the renormalization of the curvature stiffness by elastic fluctuations into a simple differential equation is transformed and solved iteratively as well as numerically. If the tension parameter falls below some critical value, the inverse two‐point function develops discontinuously a minimum at a nonzero momentum p0. This should be relevant for understanding a transition in elastic membranes.
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Research Article| December 01 1989
Solution of Dyson equation for elastic membranes
H. Kleinert; Solution of Dyson equation for elastic membranes. J. Math. Phys. 1 December 1989; 30 (12): 2991–2993. https://doi.org/10.1063/1.528488
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