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We study the (in)stability around the dynamical gap solution of the $U(N)$ Chern-Simons gauge theory with fundamental fermions (massless or massive) coupled in $D=3$ at large $N$. Explicit analyses on both the Auxiliary-Field (AF) and the…

High Energy Physics - Theory · Physics 2016-10-04 Chen Zhang

We consider here the Chern-Simons field theory with gauge group SU(N) in the presence of a gravitational background that describes a two-dimensional expanding ``universe". Two special cases are treated here in detail: the spatially flat…

High Energy Physics - Theory · Physics 2009-10-22 Franco Ferrari

We construct an example of supersymmetric Chern-Simons-matter theory with a matter field transforming as a singlet representation of the supersymmetry algebra, where the bosonic and fermionic degrees of freedom do not match. This is…

High Energy Physics - Theory · Physics 2009-04-24 Yu Nakayama , Makoto Sakaguchi , Kentaroh Yoshida

We compute the Chern-Simons current induced by Wilson fermions on a $d=2n+1$ dimensional lattice, making use of a topological interpretation of the momentum space fermion propagator as a map from the torus to the sphere, $T^{d}\to S^{d}$.…

High Energy Physics - Lattice · Physics 2009-10-22 Maarten Golterman , Karl Jansen , David Kaplan

We study a model in $d = 2 + 1$ space-time dimensions with two sectors. One of them, which can be considered as the visible sector, contains just a $U(1)$ gauge field which acts as a probe for the other (hidden) sector, given by a second…

High Energy Physics - Theory · Physics 2020-06-24 Alan Rapoport , Fidel A. Schaposnik

We compute the thermal free energy in large N U(N) Chern-Simons-matter theories with matter fields (scalars and/or fermions) in the fundamental representation, in the large temperature limit. We note that in these theories the eigenvalue…

High Energy Physics - Theory · Physics 2015-06-12 Ofer Aharony , Simone Giombi , Guy Gur-Ari , Juan Maldacena , Ran Yacoby

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating…

High Energy Physics - Phenomenology · Physics 2010-12-23 Christoph P. Hofmann , Alfredo Raya , Saúl Sánchez Madrigal

We study Dyson-Schwinger equations for propagators of Dirac fermions interacting with a massive gauge boson in the ladder approximation. The equations have the form of the coupled nonlinear integral Fredholm equations of the second kind in…

High Energy Physics - Phenomenology · Physics 2009-11-25 Davor Palle

A five-dimensional Chern-Simons gravity theory based on the anti-de Sitter group SO(4,2) is argued to be a useful model in which to understand the details of holography and the relationship between generally covariant and dual local quantum…

High Energy Physics - Theory · Physics 2009-10-31 L. D. Paniak

We quantize Quantum Electrodynamics in $2+1$ dimensions coupled to a Chern-Simons (CS) term and a charged spinor field, in covariant gauges and in the Coulomb gauge. The resulting Maxwell-Chern-Simons (MCS) theory describes charged fermions…

High Energy Physics - Theory · Physics 2015-06-26 Kurt Haller , Edwin Lim-Lombridas

We study the most general renormalizable ${\cal N}=1$ $U(N)$ Chern-Simons gauge theory coupled to a single (generically massive) fundamental matter multiplet. At leading order in the 't Hooft large $N$ limit we present computations and…

High Energy Physics - Theory · Physics 2015-10-29 Karthik Inbasekar , Sachin Jain , Subhajit Mazumdar , Shiraz Minwalla , V. Umesh , Shuichi Yokoyama

In principle, calculation of a full Green's function in any field theory requires knowledge of the infinite set of multi-point Green's functions, unless one can find some way of truncating the corresponding Schwinger-Dyson equations. For…

High Energy Physics - Theory · Physics 2009-07-09 A. Kizilersu , M. R. Pennington

We study the theory of a single fundamental fermion and boson coupled to Chern-Simons theory at leading order in the large $N$ limit. Utilizing recent progress in understanding the Higgsed phase in Chern-Simons-Matter theories, we compute…

High Energy Physics - Theory · Physics 2020-01-29 Anshuman Dey , Indranil Halder , Sachin Jain , Shiraz Minwalla , Naveen Prabhakar

A Chern-Simons gauged Nonlinear Schr\"odinger Equation is derived from the continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets can be analyzed whithin the anyon theory. Thus, we show that static magnetic vortices…

High Energy Physics - Theory · Physics 2009-10-22 L. Martina , O. K. Pashaev , G. Soliani

In three-dimensional QED with a Chern--Simons term we study the phase structure associated with chiral-symmetry breaking in the framework of the Schwinger--Dyson equation. We give detailed analyses on the analytical and numerical solutions…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. --I. Kondo , P. Maris

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter…

High Energy Physics - Theory · Physics 2021-02-03 Amiya Mishra

Mixed dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four-dimensional. Here we investigate dynamical breaking of chiral…

High Energy Physics - Phenomenology · Physics 2020-09-21 Juan Angel Casimiro Olivares , Luis Albino , Ana Julia Mizher , Alfredo Raya

We consider the large N limit of three-dimensional U(N)_k Chern-Simons theory coupled to a Dirac fermion in the fundamental representation. In this limit, we compute several correlators to all orders in the `t Hooft coupling N/k. It was…

High Energy Physics - Theory · Physics 2015-06-12 Guy Gur-Ari , Ran Yacoby

We show that the renormalized U(N) noncommutative Chern-Simons theory can be defined in perturbation theory so that there are no loop corrections to the 1PI functional of the theory in an arbitrary homogeneous axial (time-like, light-like…

High Energy Physics - Theory · Physics 2009-11-07 C. P. Martin

There is significant evidence for a duality between (non-supersymmetric) U(N) Chern-Simons theories at level k coupled to fermions, and U(k) Chern-Simons theories at level N coupled to scalars. Most of the evidence comes from the large N 't…

High Energy Physics - Theory · Physics 2016-03-23 Ofer Aharony