Rotational Invariance and the Theory of Directed Polymer Nematics
Randall D. Kamien, Pierre Le Doussal, David R. Nelson
TL;DR
This paper investigates how rotational invariance affects the fluctuation theory of dilute polymer nematics, ensuring the free energy remains invariant and preventing anomalous couplings during renormalization.
Contribution
It clarifies the role of rotational invariance in the fluctuation theory of dilute polymer nematics and corrects previous assumptions about free energy invariance.
Findings
Rotational invariance prevents anomalous couplings in the theory.
A correct rotationally invariant free energy is essential for accurate fluctuation analysis.
The study ensures consistency in the renormalization group calculations.
Abstract
The consequences of rotational invariance in a recent theory of fluctuations in dilute polymer nematics are explored. A correct rotationally invariant free energy insures that anomalous couplings are not generated in a one-loop renormalization group calculation.
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