Triple point in the $O(2)$ ghost model with higher-order gradient term

Abstract

The phase structure and the infrared behaviour of the Euclidean 3-dimensional $O(2)$ symmetric ghost scalar field $\varphi$ has been investigated in Wegner and Houghton's renormalization group framework, including higher-derivatives in the kinetic term. It is pointed out that higher-derivative coupling provides three phases and leads to a triple point in that RG scheme. The types of the phase transitions have also been identified.

arXiv comment8 pages, 15 figures

References in corpus (17)

• Optimised Renormalisation Group Flows
• Critical Exponents from the Effective Average Action
• Optimization of the derivative expansion in the nonperturbative renormalization group
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Precise determination of critical exponents and equation of state by field theory methods
• Ising exponents from the functional renormalisation group
• Instability Induced Renormalization
• Three dimensional massive scalar field theory and the derivative expansion of the renormalization group
• Optimization of Renormalization Group Flow
• The antiferromagnetic phi4 Model, I. The Mean-field Solution
• Vanishing Beta Function curves from the Functional Renormalisation Group
• Generalized universality in the massive sine-Gordon model
• The antiferromagnetic phi4 Model, II. The one-loop renormalization
• Wilson-Polchinski exact renormalization group equation for O(N) systems: Leading and next-to-leading orders in the derivative expansion
• Anti-Ferromagnetic Condensate in Yang-Mills Theory
• Periodic vacuum and particles in two dimensions
• Phase structure of the $O(2)$ ghost model with higher-order gradient term