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 (21)

• Quantum Gravity at a Lifshitz Point
• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Exact Renormalisation Group and Approximate Solutions
• Inhomogeneous chiral condensates
• Ising exponents from the functional renormalisation group
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• One-loop renormalization in a toy model of Horava-Lifshitz gravity
• O(N) and O(N) and O(N)
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Nonperturbative renormalization group treatment of amplitude fluctuations for $|\phi {|}^4$ topological phase transitions
• Longitudinal fluctuations in the Berezinskii-Kosterlitz-Thouless phase
• Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: irrelevance of amplitude and out-of-plane fluctuations
• Critical, crossover, and correction-to-scaling exponents for isotropic Lifshitz points to order $(8-\mathbf{d}{)}^2$
• Isotropic Lifshitz point in the O(N) Theory
• Nambu Jona-Lasinio Model of \bar q q Bose Einstein Condensation and pseudogap phase
• Isotropic Lifshitz critical behavior from the functional renormalization group
• Indications of isotropic Lifshitz points in four dimensions
• A Feynman integral in Lifshitz-point and Lorentz-violating theories in $R^D\oplus R^m$

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