32 citations · 70 across the 7 of their papers we have counts for
7 papers
The gauge invariance of non-perturbative vertex prescriptions
M. E. Carrington, A. R. Frey, B. A. Meggison
We study the gauge invariance of different continuum methods to include non-perturbative effects in gauge theories. We work with three dimensional quantum electrodynamics and imple…
Phase transitions in 3-dimensional Dirac semi-metals using Schwinger-Dyson equations
Margaret E. Carrington, Wade N. Cowie, Brett A. Meggison
We study the semi-metal/insulator quantum phase transition in three-dimensional Dirac semi-metals by solving a set of Schwinger-Dyson equations. We study the effect of an anisotrop…
Effects of different 3D QED vertex ansaetze on critical coupling
M. E. Carrington, A. R. Frey, B. A. Meggison
We study the semi-metal/insulator phase transition in graphene using a Schwinger-Dyson approach. We consider various forms of vertex ansaetze to truncate the hierarchy of Schwinger…
Phase transitions in anisotropic graphene
M. E. Carrington, A. R. Frey, B. A. Meggison
We study the effect of anisotropy on phase transitions in graphene. We work with an low energy effective field theory which is strongly coupled, and solve a coupled set of Schwinge…
The effect of anisotropy on phase transitions in graphene
M. E. Carrington, A. R. Frey, B. A. Meggison
We study the effect of anisotropy (strain) on dynamical gap generation in graphene. We work with a low energy effective theory obtained from a tight-binding Hamiltonian expanded ar…
The 2PI effective theory at next-to-leading order using the functional renormalization group
M. E. Carrington, S. A. Friesen, B. A. Meggison +3
We consider a symmetric scalar theory with quartic coupling in 4-dimensions. We show that the 4 loop 2PI calculation can be done using a renormalization group method. The calculati…
The 2PI effective action at four loop order in theory
M. E. Carrington, B. A. Meggison, D. Pickering
It is well known that perturbative pressure calculations show poor convergence. Calculations using a two particle irreducible (2PI) effective action show improved convergence at th…