Isotropic Lifshitz Scaling in four dimensions

Abstract

The presence of isotropic Lifshitz points for a O(N)-symmetric scalar theory is investigated with the help of the Functional Renormalization Group. In particular, at the supposed lower critical dimension d=4, evidence for a continuous line of fixed points is found for the O(2) theory, and the observed structure presents clear similarities with the properties observed in the 2-dimensional Berezinskii-Kosterlitz-Thouless phase.

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Exact evolution equation for the effective potential
• Inhomogeneous chiral condensates
• Ising exponents from the functional renormalisation group
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• Nonperturbative renormalization group treatment of amplitude fluctuations for $|\phi {|}^4$ topological phase transitions
• Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: irrelevance of amplitude and out-of-plane fluctuations
• Isotropic Lifshitz critical behavior from the functional renormalization group

Cited by in corpus (5)

• Topological phase transitions in four dimensions
• Ultraviolet properties of Lifshitz-type scalar field theories
• Lorentz symmetry violating Lifshitz-type field theories
• On the regularization of Lifshitz-type field theories
• Higher-derivative four-dimensional sine-Gordon model