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We study three-dimensional Chern-Simons theory with complex gauge group SL(2,C), which has many interesting connections with three-dimensional quantum gravity and geometry of hyperbolic 3-manifolds. We show that, in the presence of a single…

High Energy Physics - Theory · Physics 2014-11-18 Sergei Gukov

Following the previous work 1103.3773, we give a more general and systematic discussion on the Chern-Simons effect in the 5-dimensional Maxwell-Gauss-Bonnet gravity. After constructing the first order perturbative black brane solution, we…

High Energy Physics - Theory · Physics 2012-08-07 Ya-Peng Hu , Chanyong Park

The path integral for the partition function of Chern-Simons gauge theory with a compact gauge group is evaluated on a general Seifert 3-manifold. This extends previous results and relies on abelianisation, a background field method and…

High Energy Physics - Theory · Physics 2018-12-31 Matthias Blau , Keita Kaniba Mady , K. S. Narain , George Thompson

We study the effect of a Chern-Simons term on the electrically charged and spinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. These are vortices of complex scalar field theories, both with and without symmetry breaking…

High Energy Physics - Theory · Physics 2017-04-26 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

We consider a perturbation of the Benjamin Ono equation with periodic boundary conditions on a segment. We consider the case where the perturbation is Hamiltonian and the corresponding Hamiltonian vector field is analytic as a map form…

Analysis of PDEs · Mathematics 2023-12-06 Dario Bambusi , Patrick Gérard

We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector field equations, the theory is shown to admit a…

High Energy Physics - Theory · Physics 2018-09-26 D. S. Kaparulin , I. Yu. Karataeva , S. L. Lyakhovich

We develop a Chern-Simons theory to describe a two-dimensional electron gas in intermediate magnetic fields. Within this approach, inhomogeneous states emerge in analogy to the intermediate state of a superconductor. At half filling of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bernd Rosenow , Stefan Scheidl

A detailed analysis of anomalous U(1)'s and their effective couplings is performed both in field theory and string theory. It is motivated by the possible relevance of such couplings in particle physics, as well as a potential signal…

High Energy Physics - Theory · Physics 2009-11-11 P. Anastasopoulos , M. Bianchi , E. Dudas , E. Kiritsis

We argue that the results obtained using the quantum mechanical method of self-adjoint extension of the Schr\"odinger Hamiltonian can also be derived using Feynman perturbation theory in the investigation of the corresponding…

High Energy Physics - Theory · Physics 2009-10-28 G. Amelino-Camelia , D. Bak

We compute the pressure from first principles within perturbative QCD at finite baryon density and very high magnetic fields up to two-loops and with physical quark masses. The region of validity for our framework is given by $m_s \ll \mu_q…

High Energy Physics - Phenomenology · Physics 2024-03-29 Eduardo S. Fraga , Letícia F. Palhares , Tulio E. Restrepo

Present expansion stage of the universe is believed to be mainly governed by the cosmological constant, collisionless dark matter and baryonic matter. The latter two components are often modeled as zero-pressure fluids. In our previous work…

Astrophysics · Physics 2009-06-23 J. Hwang , H. Noh

We initiate a systematic method to calculate both the finite volume energy levels and form factors from the momentum space finite volume two-point function. By expanding the two point function in the volume we extracted the leading…

High Energy Physics - Theory · Physics 2018-08-15 Zoltán Bajnok , János Balog , Márton Lájer , Chao Wu

By taking the hydrodynamic limit we derive, at $T=0$, an explicit solution of the linearized time dependent Gross-Pitaevskii equation for the order parameter of a Bose gas confined in a harmonic trap and interacting with repulsive forces.…

Condensed Matter · Physics 2009-10-28 S. Stringari

We present a formulation of third-order density-functional perturbation theory which is manifestly invariant with respect to unitary transfomations within the occupied-states manifold and is particularly suitable for a practical…

Condensed Matter · Physics 2009-10-22 Alberto Debernardi , Stefano Baroni

This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-12-16 N. Yu. Astrakhantsev , V. V. Braguta , M. I. Katsnelson

The Chern-Simons approach has been widely used to explain fractional quantum Hall states in the framework of trial wave functions. In the present paper, we generalise the concept of Chern-Simons transformations to systems with any number of…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 W. Beugeling , M. O. Goerbig , C. Morais Smith

Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Under suitable conditions the quantum theory becomes…

High Energy Physics - Theory · Physics 2011-06-28 Sendic Estrada-Jimenez , Hugo Garcia-Compean

We introduce topological magnetic field in two-dimensional flat space, which admits a solution of scalar monopole that describes the nontrivial topology. In the Chern-Simons gauge field theory of anyons, we interpret the anyons as the…

High Energy Physics - Theory · Physics 2016-09-06 Zhong Tang , David Finkelstein

We investigate U(N) Chern-Simons theories on noncommutative plane. We show that for the theories to be consistent quantum mechanically, the coefficient of the Chern-Simons term should be quantized $\kappa = n/2\pi$ with an integer $n$. This…

High Energy Physics - Theory · Physics 2009-11-07 Dongsu Bak , Kimyeong Lee , Jeong-Hyuck Park

We study the higher-derivative extensions of the D=3 Abelian Chern--Simons topological invariant that would appear in a perturbative effective action's momentum expansion. The leading, third-derivative, extension I_ECS turns out to be…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , R. Jackiw
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