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Effective quantum field theoretical continuum models for graphene are investigated. The models include a complex scalar field and a vector gauge field. Different gauge theories are considered and their gap patterns for the scalar, vector,…

Materials Science · Physics 2011-05-27 O. Oliveira , C. E. Cordeiro , A. Delfino , W. de Paula , T. Frederico

A clear separation of the time scales governing the dynamics of "slow" and "fast" degrees of freedom often serves as a prerequisite for the emergence of an independent low-energy theory. Here, we consider (slow) classical spins exchange…

Mesoscale and Nanoscale Physics · Physics 2022-09-30 Nicolas Lenzing , Alexander I. Lichtenstein , Michael Potthoff

The Hamiltonian formulation of lattice gauge theories plays a central role in quantum simulations of gauge theories, and understanding their spectrum and other properties is expected to become crucial in the upcoming years. The relevant…

High Energy Physics - Lattice · Physics 2026-04-20 Thea Budde , Marina Kristć Marinković , Joao C. Pinto Barros

We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This provides a…

High Energy Physics - Theory · Physics 2010-02-18 Allen Stern

The Seiberg-Witten formalism has been realized as an electrodynamics in phase space (associated to the Dirac equation written in phase space) and this fact is explored here with non-abelian gauge group. First, a physically heuristic…

High Energy Physics - Theory · Physics 2019-09-04 J. S. Cruz-Filho , R. G. G. Amorim , F. C. Khanna , A. E. Santana , A. F. Santos , S. C. Ulhoa

We present a gauge and Lorentz invariant effective field theory model for the interaction of a charged scalar matter field with a magnetic monopole source, described by an external magnetic current. The quantum fluctuations of the monopole…

High Energy Physics - Theory · Physics 2024-01-23 K. Farakos , G. Koutsoumbas , Nick E. Mavromatos

We present the extension of the effective field theory framework to the mildly non-linear scales. The effective field theory approach has been successfully applied to the late time cosmic acceleration phenomenon and it has been shown to be…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Noemi Frusciante , Georgios Papadomanolakis

Building on the principle of combinatorial gauge symmetry, lattice gauge theories can be formulated with only one- and two-body interactions that ensure the exact realization of the symmetry rather than its approximate emergence in a…

Strongly Correlated Electrons · Physics 2024-11-07 Hongji Yu , Dmitry Green , Claudio Chamon

We propose an experimental scheme to realize non-Abelian dynamical gauge field for ultracold fermions, which induces a novel pairing mechanism of topological superfluidity. The dynamical gauge fields arise from nontrivial interplay effect…

Quantum Gases · Physics 2023-09-27 Xin-Chi Zhou , Tian-Hua Yang , Zhi-Yuan Wang , Xiong-Jun Liu

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter or quantum information theory. The recent progress in the control of artificial quantum systems already allows for studying Abelian lattice…

Quantum Physics · Physics 2021-06-30 Valentin Kasper , Torsten V. Zache , Fred Jendrzejewski , Maciej Lewenstein , Erez Zohar

Effective field theories encode the predictions of a quantum field theory at low energy. The effective theory has a fairly low ultraviolet cutoff. As a result, loop corrections are small, at least if the effective action contains a term…

High Energy Physics - Lattice · Physics 2015-06-25 G. Mack , T. Kalkreuter , G. Palma , M. Speh

We suggest an extension of the Yang-Mills theory which includes non-Abelian tensor gauge fields. The invariant Lagrangian is quadratic in the field strength tensors and describes interaction of charged tensor gauge bosons of arbitrary large…

High Energy Physics - Theory · Physics 2009-11-11 G. Savvidy

We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction. The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 A. V. Poshakinskiy , L. E. Golub

We investigate the properties of the Lieb lattice, i.e a face-centered square lattice, subjected to external gauge fields. We show that an Abelian gauge field leads to a peculiar quantum Hall effect, which is a consequence of the single…

Quantum Gases · Physics 2011-06-22 N. Goldman , D. F. Urban , D. Bercioux

The experimental demonstration of pseudo-magnetic fields exceeding 300 T in graphene [2] nanobubbles represents considerable challenge for the present theory connecting the emergence of gauge fields due to strain in the underlying lattice.…

Mesoscale and Nanoscale Physics · Physics 2013-04-01 Victor Atanasov

We discuss real-space lattice models equivalent to gauge theories with a discrete non-Abelian gauge group. We construct the Hamiltonian formalism which is appropriate for their solid-state physics implementation and outline their basic…

Strongly Correlated Electrons · Physics 2010-05-11 B. Doucot , L. B. Ioffe , J. Vidal

The use of coherent optical dressing of atomic levels allows the coupling of ultracold atoms to effective gauge fields. These can be used to generate effective magnetic fields, and have the potential to generate non-Abelian gauge fields. We…

Quantum Gases · Physics 2012-05-17 Stavros Komineas , Nigel R. Cooper

We start by reviewing the concept of gauge invariance in quantum mechanics, for Abelian and Non-Ableian cases. Then we idescribe how the various gauge potential and field can be associated with the geometrical phase acquired by a quantum…

Quantum Gases · Physics 2014-07-07 Sankalpa Ghosh , Rashi Sachdeva

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

Gauge symmetries and Higgs mechanisms are key features of theories describing high-energy particle physics and collective phenomena in statistical and condensed-matter physics. In this review we address the collective behavior of systems of…

Statistical Mechanics · Physics 2025-06-10 Claudio Bonati , Andrea Pelissetto , Ettore Vicari