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We use localization to compute the partition function of a four dimensional, supersymmetric, abelian gauge theory on a hemisphere coupled to charged matter on the boundary. Our theory has eight real supercharges in the bulk of which four…

High Energy Physics - Theory · Physics 2020-05-20 Rajesh Kumar Gupta , Christopher P. Herzog , Imtak Jeon

We discuss the canonical quantization of Chern-Simons theory in $2+1$ dimensions, minimally coupled to a Dirac spinor field. Gauss's law and the gauge condition, $A_0 = 0$, are implemented by embedding the formulation in an appropriate…

High Energy Physics - Theory · Physics 2007-05-23 K. Haller , E. Lim-Lombridas

Higher-spin gravity in three dimensions is efficiently formulated as a Chern-Simons gauge-theory, typically with gauge algebra sl(N)+sl(N). The classical and quantum properties of the higher-spin theory depend crucially on the embedding…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler

We examine vortices in Abelian Chern-Simons theory coupled to a relativistic scalar field with a chemical potential for particle number or U(1) charge. The Gauss constraint requires chemical potential for the local symmetry to be…

High Energy Physics - Theory · Physics 2019-12-25 S. Prem Kumar , Stanislav Stratiev

We consider wires near a zero temperature transition between superconducting and metallic states. The critical theory obeys hyperscaling, which leads to a universal frequency, temperature, and length dependence of the conductance; quantum…

Superconductivity · Physics 2007-05-23 Subir Sachdev , Philipp Werner , Matthias Troyer

In this paper, we investigate some electrically charged magnetic solutions of the SU(2) Yang-Mills-Higgs field theory in the net zero topological charge sector. We only examine the case when the Higgs field vanishes at two points along the…

High Energy Physics - Theory · Physics 2015-05-27 Kok-Geng Lim , Rosy Teh , Khai-Ming Wong

We study the behavior of spinless fermions in superconducting state, in which the phases of the superconducting order parameter depend on the direction of the link. We find that the energy of the superconductor depends on the phase…

Strongly Correlated Electrons · Physics 2017-08-04 Igor N. Karnaukhov

By taking into account the effect of the would be Chern-Simons term, we calculate the quantum correction to the Chern-Simons coefficient in supersymmetric Chern-Simons Higgs theories with matter fields in the fundamental representation of…

High Energy Physics - Theory · Physics 2009-10-31 Hsien-chung Kao

We discuss the derivation of the electrodynamics of superconductors coupled to the electromagnetic field from a Lorentz-invariant bosonic model of Cooper pairs. Our results are obtained at zero temperature where, according to the third law…

Superconductivity · Physics 2024-06-27 Luca Salasnich

We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical…

Mathematical Physics · Physics 2024-03-27 Christian Hainzl , Barbara Roos , Robert Seiringer

In this work, we present a topological characterization of superconductivity in a prototype electron fractionalization model for doped Mott insulators. In this model, spinons and holons are coupled via the mutual Chern-Simons gauge fields.…

Superconductivity · Physics 2012-05-30 Peng Ye , Long Zhang , Zheng-Yu Weng

The relation between braid and exclusion statistics is examined in one-dimensional systems, within the framework of Chern-Simons statistical transmutation in gauge invariant form with an appropriate dimensional reduction. If the matter…

Strongly Correlated Electrons · Physics 2017-10-11 Fei Ye , P. A. Marchetti , Z. B. Su , L. Yu

We study the critical behavior of the conductivity $\sigma(\omega)$ at the zero temperature superconductor-Mott insulator transition in $d$ space-time dimensions for a model of bosons with short-range interaction and no disorder. We obtain…

Condensed Matter · Physics 2009-10-28 Rosario Fazio , Dario Zappala`

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

The Ginzburg-Landau-Wilson theory that describes the disordered Fermi liquid - d-wave superconductor phase transition at zero temperature is derived at weak coupling. The theory represents an interacting dissipative system of bosonic Cooper…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

We study the 0+1 dimensional Chern-Simons theory at finite temperature within the framework of derivative expansion. We obtain various interesting relations, solve the theory within this framework and argue that the derivative expansion is…

High Energy Physics - Theory · Physics 2009-10-31 J. Barcelos-Neto , Ashok Das

The chiral phase transition of strong-coupling Abelian gauge theories is investigated in the brane world. It is assumed that gauge boson propagates in an extra dimension, i.e. bulk gauge theories. The phase structure is analytically…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hiroyuki Abe , Kenji Fukazawa , Tomohiro Inagaki

Subject of this work is a class of Chern-Simons field theories with non-semisimple gauge group, which may well be considered as the most straightforward generalization of an Abelian Chern-Simons field theory. As a matter of fact these…

High Energy Physics - Theory · Physics 2014-11-18 Franco Ferrari

We present a model of inflation based on the interaction between a homogeneous and isotropic configuration of a U(1) gauge field and fermionic charge density $\mathcal{J}_{0}$. The regulated fermionic charge density is generated from a…

High Energy Physics - Theory · Physics 2013-05-28 Stephon Alexander , Antonino Marciano , David Spergel

We quantize the abelian Chern-Simons theory coupled to non-relativistic matter field on a torus without invoking the flux quantization. Through a series of canonical transformations which is equivalent to solving the Gauss constraint, we…

High Energy Physics - Theory · Physics 2009-10-22 Kyung-Hyun Cho , Chaiho Rim