M. E. Carrington

Winnipeg Institute for Theoretical Physics

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G. Kunstatter

Winnipeg Institute for Theoretical Physics

Stanisław Mrówczyński

Jan Kochanowski University

R. Kobes

University of Winnipeg

D. Pickering

Brandon University

Defu Hou

Central China Normal University

Katarzyna Deja

National Centre for Nuclear Research

T. Fugleberg

Winnipeg Institute for Theoretical Physics

Christopher D. Phillips

Brandon University

Markus H. Thoma

University of Giessen

Wade N. Cowie

University of Manitoba

Cooperative Institutions

Brandon University

Winnipeg Institute for Theoretical Physics

University of Winnipeg

University of Manitoba

Bryn Mawr College

University of Waterloo

McGill University

Brookhaven National Laboratory

Laboratoire d'Annecy-le-Vieux de Physique Théorique

Centre National de la Recherche Scientifique

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2PI effective action and gauge dependence identities

The European Physical Journal C (2005)

M. E. Carrington G. Kunstatter Haitham Zaraket

BRST quantization

Quantum gauge theory

10.1140/epjc/s2005-02277-x

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Citations (35)

Phase transitions in nonminimally coupled Chern-Simons scalar QED

M. E. Carrington G. Kunstatter

Chern–Simons theory

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Dynamics of the electroweak phase transition

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (1993)

M. E. Carrington Joseph I. Kapusta

We apply recent advances in equilibrium and nonequilibrium finite-temperature field theory to the dynamics of the electroweak phase transition in the early Universe. The equation of state and the parameters that enter the nucleation rate, including the preexponential factor, are calculated in the one-loop plus ring-diagram approximation in the standard model. The velocity of bubble growth is taken from a recent relativistic kinetic theory calculation. We compute the temperature, average bubble size, bubble density, and fraction of space which has been converted from the high-temperature symmetric phase to the low-temperature asymmetric phase as functions of time. Compared to the idealized adiabatic Maxwell construction of phase equilibrium, the start of the phase transition is significantly delayed, but then completes in a much shorter time interval.

10.1103/physrevd.47.5304

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Citations (41)

Renormalization Group Flow Equations from the 4PI Equations of Motion

Acta Physica Polonica B Proceedings Supplement (2014)

M. E. Carrington

The 4PI effective action provides a a hierarchy of integral equations which have the form of Bethe-Salpeter equations.The vertex functions obtained from these equations can be used to truncate the exact renormalization group flow equations.This truncation has the property that the flow is a total derivative with respect to the flow parameter and is equivalent to solving the nPI equations of motion.This result establishes a direct connection between two non-perturbative methods.

10.5506/aphyspolbsupp.7.91

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Boundaries and junctions in two parity-violating models in 2+1 dimensions

Physical review. B, Condensed matter (1995)

Mark Burgess M. E. Carrington

Recently it has been suggested that junctions between materials with different parity violating properties would be characterized by diffusion layers, analogous to those in the p-n junction. This remark is amplified by a fuller investigation of two related parity violating effective Lagrangians, which possess a kind of duality. It is shown that gauge invariance and energy conservation are sufficient to determine the behaviour at the interface. This leads to modifications of normal parity-violating electrodynamics. The coupling of an interface to an external system is a natural solution to the deficiencies of Maxwell-Chern-Simons theory. A heuristic model of a transistor-like device is discussed which relates to recent experiments in device technology. Radiative corrections to Chern-Simons theory induce a local magnetic moment interaction whose lagrangian is everywhere gauge invariant. The effects of this interaction are compared to Maxwell-Chern-Simons theory. The dispersion of classical waves for these models is computed and the laws of reflection and refraction are found to hold despite the lack of $P$ and $T$ invariance. The magnetic moment dispersion is gapless in contrast to the Chern-Simons dispersion except in the case of a scalar field which is covariantly constant. Both models exhibit optical activity (Faraday effect).

Parity (physics)

R-parity

10.1103/physrevb.52.5052

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Spontaneous symmetry breaking for scalar QED with nonminimal Chern-Simons coupling

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (2001)

D. S. Irvine M. E. Carrington G. Kunstatter D. Pickering

We investigate the two-loop effective potential for both minimally and non-minimally coupled Maxwell-Chern-Simons theories. The non-minimal gauge interaction represents the magnetic moment interaction between a charged scalar and the electromagnetic field. In a previous paper we have shown that the two loop effective potential for this model is renormalizable with an appropriate choice of the non-minimal coupling constant. We carry out a detailed analysis of the spontaneous symmetry breaking induced by radiative corrections. As long as the renormalization point for all couplings is chosen to be the true minimum of the effective potential, both models predict the presence of spontaneous symmetry breaking. Two loop corrections are small compared to the one loop result, and thus the symmetry breaking is perturbatively stable.

Chern–Simons theory

10.1103/physrevd.64.045015

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The effect of anisotropy on the formation of heavy quarkonium bound states

arXiv (Cornell University) (2024)

M. E. Carrington G. Kunstatter Arghya Mukherjee

We study the real part of the static potential of a heavy quark-antiquark system in an anisotropic plasma medium. We use a quasi-particle approach where the collective dynamics of the plasma constituents is described using hard-loop perturbation theory. The parton distribution function is characterized by a set of parameters that can accurately describe the anisotropy of the plasma produced in a heavy ion collision. We calculate the potential numerically in strongly anisotropic systems and study the angular dependence of the distortion of the potential relative to the isotropic one. We obtain an analytic expression for the real part of the heavy quark potential in the limit of weak anisotropy using a model that expresses the potential in terms of effective screening masses that depend on the anisotropy parameters and the orientation of the quark-antiquark pair. A 1-dimensional potential is formulated in terms of angle averaged screening masses that incorporate the anisotropy of the medium into a radial coordinate. We solve the corresponding Schr\"odinger equation and show that the magnitude of the binding energy typically increases with anisotropy. Anisotropy can play an important role, especially in states with non-zero angular momentum. This means that the number of bound states that are formed could depend on specific characteristics of the anisotropy of the plasma. Our study suggests that plasma anisotropy plays an important role in the dynamics of heavy quarkonium and motivates further study.

10.48550/arxiv.2405.05622

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Role of frequency dependence in dynamical gap generation in graphene

Physical review. B./Physical review. B (2018)

M. E. Carrington Christian S. Fischer Lorenz von Smekal Markus H. Thoma

We study the frequency dependencies of the fermion and photon dressing functions in dynamical gap generation in graphene. We use a low-energy effective QED-like description, but within this approximation, we include all frequency-dependent effects, including retardation. We obtain the critical coupling by calculating the gap using a nonperturbative Dyson-Schwinger approach. Compared to the results of our previous calculation [M. E. Carrington et al., Phys. Rev. B 94, 125102 (2016)], which used a Lindhard screening approximation instead of including a self-consistently calculated dynamical screening function, the critical coupling is substantially reduced.

10.1103/physrevb.97.115411

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Equilibration in an interacting field theory

Canadian Journal of Physics (2002)

M. E. Carrington R. Kobes G. Kunstatter D. Pickering E. G. L. R. Vaz

We use a combination of perturbation theory and numerical techniques to study the equilibration of two interacting fields that are initially at thermal equilibrium at different temperatures. Using standard rules of quantum field theory, we examine the master equations that describe the time evolution of the distribution functions for the two coupled systems. By making a few reasonable assumptions we reduce the resulting coupled integral/differential equations to a pair of differential equations that can be solved numerically relatively easily and which give physically sensible results. PACS No.: 11.10W

10.1139/p02-065

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Dynamical gap generation in graphene with frequency-dependent renormalization effects

Physical review. B./Physical review. B (2016)

M. E. Carrington Christian S. Fischer Lorenz von Smekal Markus H. Thoma

We study the frequency dependencies in the renormalization of the fermion Green's function for the $\ensuremath{\pi}$-band electrons in graphene and their influence on the dynamical gap generation at sufficiently strong interaction. Adopting the effective QED-like description for the low-energy excitations within the Dirac-cone region, we self-consistently solve the fermion Dyson-Schwinger equation in various approximations for the photon propagator and the vertex function with special emphasis on frequency-dependent Lindhard screening and retardation effects.

Propagator

Self-energy

10.1103/physrevb.94.125102

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Citations (22)