Goldstone modes in vacuum decay and first-order phase transitions

Gunther, N J, Nicole, D A and Wallace, D J (1980) Goldstone modes in vacuum decay and first-order phase transitions. Journal of Physics A: Mathematical and Theoretical, 13, 1755-1767.


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We introduce effective Hamiltonians for Goldstone modes of the Euclidean group, representing fluctuations in the surface of a critical droplet or in the interface between two phases. The Euclidean invariance is non-linearly realised on the Goldstone fields. The Hamiltonians are non-renormalisable in more than one dimension, showing that the disappearance of a phase transition in one dimension for systems with a discrete symmetry may be interpreted in terms of the infrared instabilities induced by these modes. The existence and form of these Hamiltonians indicates the universality of the essential singularity at a first-order phase transition in models with Euclidean invariance.

Item Type: Article
ISSNs: 1751-8113
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Electronic & Software Systems
ePrint ID: 251466
Accepted Date and Publication Date:
Date Deposited: 03 Nov 1999
Last Modified: 31 Mar 2016 13:52
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