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Goldstone modes in vacuum decay and first-order phase transitions

Goldstone modes in vacuum decay and first-order phase transitions
Goldstone modes in vacuum decay and first-order phase transitions
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.
0305-4470
1755-1767
Gunther, N J
47b50a8f-0aa0-4b7f-a7ae-411ea03749c8
Nicole, D A
0aca6dd1-833f-4544-b7a4-58fb91c7395a
Wallace, D J
53448d2c-f0a9-48c1-8dcf-7513626a50c4
Gunther, N J
47b50a8f-0aa0-4b7f-a7ae-411ea03749c8
Nicole, D A
0aca6dd1-833f-4544-b7a4-58fb91c7395a
Wallace, D J
53448d2c-f0a9-48c1-8dcf-7513626a50c4

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 General, 13, pp. 1755-1767.

Record type: Article

Abstract

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.

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Published date: 1980
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 251466
URI: http://eprints.soton.ac.uk/id/eprint/251466
ISSN: 0305-4470
PURE UUID: 784905b8-747e-4ba4-8b7a-9e3fee74ac03

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Date deposited: 03 Nov 1999
Last modified: 18 Jul 2017 10:09

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Contributors

Author: N J Gunther
Author: D A Nicole
Author: D J Wallace

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