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Phase structure of the $O (2)$ ghost model with higher-order gradient term

Z. Péli, S. Nagy, and K. Sailer

Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H-4010 Debrecen, Hungary

Phys. Rev. D 94, 065021 – Published 15 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.065021

Abstract

The phase structure and the infrared behavior of the Euclidean three-dimensional $O (2)$ symmetric ghost scalar field model with a higher-order derivative term has been investigated in Wegner and Houghton’s renormalization group framework. The symmetric phase in which no ghost condensation occurs and the phase with restored symmetry but with a transient presence of a ghost condensate have been identified. Finiteness of the correlation length at the phase boundary hints to a phase transition of first order. The results are compared with those for the ordinary $O (2)$ symmetric scalar field model.

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