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The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of few atomically thick layers and the corresponding effective (2+1)-dimensional gauge theory is formulated. This dimensionally reduced…

Strongly Correlated Electrons · Physics 2024-06-04 E. V. Gorbar , V. P. Gusynin , M. R. Parymuda

We explicitly derive the duality between a free electronic Dirac cone and quantum electrodynamics in $(2+1)$ dimensions (QED$_3$) with $N = 1$ fermion flavors. The duality proceeds via an exact, non-local mapping from electrons to dual…

Strongly Correlated Electrons · Physics 2016-07-06 David F. Mross , Jason Alicea , Olexei I. Motrunich

We study the electrodynamics of generic charged particles (bosons, fermions, relativistic or not) constrained to move on an infinite plane. An effective gauge theory in 2+1 dimensional spacetime which describes the real electromagnetic…

High Energy Physics - Theory · Physics 2009-10-22 E. C. Marino

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar)…

High Energy Physics - Theory · Physics 2018-04-05 S. Teber , A. V. Kotikov

It is well-known that the tight-binding Hamiltonian of graphene describes the low-energy excitations that appear to be massless chiral Dirac fermions. Thus, in the continuum limit one can analyze the crystal properties using the formalism…

Materials Science · Physics 2012-11-03 P. Kosinski , P. Maslanka , J. Slawinska , I. Zasada

We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger--Dyson equations in rainbow-quenched and unquenched approximations. The (3+1)D gauge-field mass $m$, fine-structure constant $\alpha$,…

High Energy Physics - Theory · Physics 2025-11-18 Helio G. Barroso , Van Sérgio Alves , Leandro O. Nascimento

Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts

This work provides a relativistic, digital quantum simulation scheme for both $2+1$ and $3+1$ dimensional quantum electrodynamics (QED), based on a discrete spacetime formulation of theory. It takes the form of a quantum circuit, infinitely…

Quantum Physics · Physics 2024-10-30 Nathanaël Eon , Giuseppe Di Molfetta , Giuseppe Magnifico , Pablo Arrighi

We describe dynamical symmetry breaking in a system of massless Dirac fermions with both electromagnetic and four-fermion interactions in (2+1) dimensions. The former is described by the Pseudo Quantum Electrodynamics (PQED) and the latter…

Strongly Correlated Electrons · Physics 2017-08-16 Van Sérgio Alves , Reginaldo O. C. Junior , E. C. Marino , Leandro O. Nascimento

In this paper, we explore (2+1)D quantum electrodynamics (QED) at finite density on a quantum computer, including two fermion flavors. Our method employs an efficient gauge-invariant ansatz together with a quantum circuit structure that…

High Energy Physics - Lattice · Physics 2025-09-26 Emil Otis Rosanowski , Arianna Crippa , Lena Funcke , Paulo Vitor Itaborai , Karl Jansen , Simran Singh

We investigate the strong-coupling phases that may arise in 3D Dirac and Weyl semimetals under the effect of the long-range Coulomb interaction, considering the many-body theory of these electron systems as a variant of the conventional…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 J. Gonzalez

We derive two versions of an effective model to describe dynamical effects of the Yukawa interaction among Dirac electrons in the plane. Such short-range interaction is obtained by introducing a mass term for the intermediate particle,…

High Energy Physics - Theory · Physics 2018-05-09 Van Sérgio Alves , Tommaso Macrì , Gabriel C. Magalhães , E. C. Marino , Leandro O. Nascimento

We employ the recent results on the generalization of the $c$-theorem to 2+1-d to derive non-perturbative results for strongly interacting quantum field theories, including QED-3 and the critical theory corresponding to certain quantum…

High Energy Physics - Theory · Physics 2014-04-15 Tarun Grover

We consider reduced quantum electrodynamics (RQED$_{d_\gamma,d_e}$) a model describing fermions in a $d_e$-dimensional space-time and interacting via the exchange of massless bosons in $d_\gamma$-dimensions ($d_e \leq d_\gamma$). We compute…

High Energy Physics - Theory · Physics 2021-10-08 S. Metayer , S. Teber

Quantum electrodynamics (QED) is a cornerstone of particle physics and also finds diverse applications in condensed matter systems. Despite its significance, the dynamics of quantum electrodynamics under a quantum quench remains…

Statistical Mechanics · Physics 2023-12-22 Ming-Rui Li , Shao-Kai Jian

In recent years, two-dimensional Dirac materials patterned with a superlattice structure have emerged as a rich platform for exploring correlated and topological quantum matter. In this work, we propose that by subjecting Dirac electrons to…

Strongly Correlated Electrons · Physics 2023-02-21 Xue-Yang Song , Hart Goldman , Liang Fu

We review several variants of three-dimensional quantum electrodynamics (QED$_3$) with $N_f$ fermion (or boson) flavors including fermionic (or spinorial) QED$_3$, bosonic (or scalar) QED$_3$, $\mathcal{N}=1$ supersymmetric QED and also…

High Energy Physics - Theory · Physics 2023-10-12 S. Metayer , S. Teber

In this work we present the study of the renormalizability of the Generalized Quantum Electrodynamics ($GQED_{4}$). We begin the article by reviewing the on-shell renormalization scheme applied to $GQED_{4}$. Thereafter, we calculate the…

High Energy Physics - Theory · Physics 2012-12-17 R. Bufalo , B. M. Pimentel , G. E. R. Zambrano

We study the out-of-equilibrium properties of $1+1$ dimensional quantum electrodynamics (QED), discretized via the staggered-fermion Schwinger model with an Abelian $\mathbb{Z}_{n}$ gauge group. We look at two relevant phenomena: first, we…

The description of the electromagnetic interaction in two-dimensional Dirac materials, such as graphene and transition-metal dichalcogenides, in which electrons move in the plane and interact via virtual photons in 3d, leads naturally to…

High Energy Physics - Theory · Physics 2021-05-26 Luis Fernández , Van Sérgio Alves , M. Gomes , Leandro O. Nascimento , Francisco Peña
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