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We consider the planar limit of Chern-Simons theories coupled to a scalar $\phi$ in the fundamental representation of a $U(N)_k$ gauge group, at both the regular and Wilson-Fisher conformal points. These theories have one single-trace…

High Energy Physics - Theory · Physics 2018-05-31 Ran Yacoby

The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions,…

High Energy Physics - Theory · Physics 2009-10-09 J. Polchinski , L. Thorlacius

In this study, we investigate three-dimensional torsional Newton-Cartan (TNC) gravity by gauging the su$(1,2)\oplus$u$(1)$ algebra and construct its action using the Chern-Simons theory. This TNC exhibits novel features, including the fact…

High Energy Physics - Theory · Physics 2025-09-08 Yang Lei , Dong Zhang

In an abelian topologically massive gauge theory, any eigenstate of the Hamiltonian can be decomposed into a factor describing massive propagating gauge bosons and a Chern-Simons wave function describing a set of nonpropagating…

High Energy Physics - Theory · Physics 2010-04-28 M. Asorey , S. Carlip , F. Falceto

Motivated by developments in vectorlike holography, we study SU(N) Chern-Simons theory coupled to matter fields in the fundamental representation on various spatial manifolds. On the spatial torus T^2, we find light states at small `t Hooft…

High Energy Physics - Theory · Physics 2017-02-21 Shamik Banerjee , Simeon Hellerman , Jonathan Maltz , Stephen H. Shenker

The boundary effects in the screening of an applied magnetic field in a finite temperature 2+1 dimensional model of charged fermions minimally coupled to Maxwell and Chern-Simons fields are investigated. It is found that in a sample with…

High Energy Physics - Theory · Physics 2009-10-30 E. J. Ferrer , V. de la Incera

In the Maxwell--Chern-Simons theory coupled to $N_f$ flavors of 4-component fermions (or even number of 2-component fermions) we construct the gauge-covariant effective potential written in terms of two order parameters which are able to…

High Energy Physics - Phenomenology · Physics 2015-06-25 Kei-Ichi Kondo

Dualities provide deep insight into physics by relating two seemingly distinct theories. Here we consider a duality between lattice fermions and bosons in (2+1) spacetime dimensions, relating free massive Dirac fermions to Abelian…

High Energy Physics - Theory · Physics 2020-10-28 Oguz Turker , Jeroen van den Brink , Tobias Meng , Flavio S. Nogueira

In (2+1)-dimensional QED with a Chern-Simons term, we show that spontaneous magnetization occurs in the context of finite density vacua, which are the lowest Landau levels fully or half occupied by fermions. Charge condensation is shown to…

High Energy Physics - Theory · Physics 2011-06-16 Taichi Itoh , Hiroshi Kato

Gauge theories compose a large class of interacting conformal field theories in 3d, among which an outstanding category is critical Chern-Simons-matter theories. In this paper, we focus on one of the simplest instances: one complex critical…

Strongly Correlated Electrons · Physics 2025-08-20 Zheng Zhou , Chong Wang , Yin-Chen He

Based on the realization of three-algebras in terms of algebra of matrices and four-brackets [arXiv:0807.1570] we present the notion of u(N)-based extended three-algebras, which for N=2 reproduces the Bagger-Lambert three-algebra. Using…

High Energy Physics - Theory · Physics 2009-01-22 M. M. Sheikh-Jabbari

We perform lattice studies of meson mass spectra and decay constants of the $Sp(4)$ gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter field content, transforming in the 2-index antisymmetric…

A method for solving Schwinger-Dyson equations for the Green function generating functional of non-Abelian gauge theory is proposed. The method is based on an approximation of Schwinger-Dyson equations by exactly soluble equations. For the…

High Energy Physics - Theory · Physics 2008-11-26 V. E. Rochev

Sp($2N$) gauge theories with fermonic matter provide an ideal laboratory to build extensions of the standard model based on novel composite dynamics. Examples include composite Higgs along with top partial compositeness and composite dark…

High Energy Physics - Lattice · Physics 2023-01-11 Jong-Wan Lee , Ed Bennett , Deog Ki Hong , Ho Hsiao , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We develop a systematic method to treat the effect of non-linearity in the energy dispersion on the usual bosonization result for the single-particle Green's function of fermions in arbitrary dimension. The leading corrections due to the…

Condensed Matter · Physics 2009-01-23 Peter Kopietz , Guillermo E. Castilla

We analyze (2+1)-dimensional gravity with a Chern--Simons term and a negative cosmological constant, primarily at the weak field level. The full theory is expressible as the sum of two higher derivative SL(2,R) "vector" Chern-Simons terms,…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

Gravitational effective theories are essential for characterizing the space of deviations from General Relativity (GR). Testing these theories against fundamental principles, such as causality and unitarity, can yield constraints on the…

High Energy Physics - Theory · Physics 2026-04-09 Alexander Cassem , Mark P. Hertzberg

Starting from Wigner's symmetry representation theorem, we give a general account of discrete symmetries (parity P, charge conjugation C, time-reversal T), focusing on fermions in Quantum Field Theory. We provide the rules of transformation…

High Energy Physics - Phenomenology · Physics 2014-11-18 Quentin Duret , Bruno Machet

In this work, we investigate radiative corrections in the higher-order extension of the Maxwell-Chern-Simons model coupled to standard spinor matter in $2+1$ dimensions. We begin analyzing the higher-order gauge sector, where we find the…

High Energy Physics - Theory · Physics 2025-09-01 Ricardo Avila , Albert Yu. Petrov , Carlos M. Reyes , César Riquelme , Angel Sanchez

Large $N$ quasifermionic ($QF$) Chern-Simons-matter theories exhibit weakly-broken higher-spin symmetry and contain an infinite-dimensional algebra of almost-conserved higher-spin currents. By analyzing local higher-spin Ward identities, we…

High Energy Physics - Theory · Physics 2024-12-10 Trivko Kukolj
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