Higher-derivative four-dimensional sine-Gordon model

The phase structure of a higher derivative sine-Gordon model in four dimensions is analysed. It is shown that the inclusion of a relevant two-derivative term in the action significantly modifies some of the results obtained by neglecting this operator, and the final picture is substantially differen...

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Bibliographic Details
Published in:arXiv.org 2024-12
Main Authors: Bontorno, Matteo F, Angilella, G G N, Zappala, Dario
Format: Article
Language:English
Subjects:
Flow equations
Microgravity
Operators (mathematics)
Parameter modification
Phase diagrams
Series expansion
Solid phases
Two dimensional analysis
Online Access:Get full text
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Summary:The phase structure of a higher derivative sine-Gordon model in four dimensions is analysed. It is shown that the inclusion of a relevant two-derivative term in the action significantly modifies some of the results obtained by neglecting this operator, and the final picture is substantially different from the one describing the phase diagram associated with the two-dimensional Berezinskii-Kosterlitz-Thouless (BKT) transition. The study is carried out with the help of the Renormalization Group (RG) flow equations, determined for a set of three parameters, and numerically solved both for a truncated series expansion approximation, and for the complete set of equations. In both cases, a continuous line of fixed points, terminating at a particular point presenting universal properties, is found, together with a manifold that separates two phases, roughly characterized by the sign of the coupling \(\widetilde z_k\) associated with this newly included operator. While the phase corresponding to \(\widetilde z_k>0\) shows some pathologies, the one with \(\widetilde z_k
ISSN:2331-8422
DOI:10.48550/arxiv.2407.18794