scholarly journals Chern-Simons-fermion vector model with chemical potential

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Shuichi Yokoyama
Keyword(s):  
Chemical Potential ◽  
Vector Model ◽  
Chern Simons

scholarly journals Abelian Chern-Simons vortices at finite chemical potential

2020 ◽  
Vol 2020 (4) ◽  
Author(s):  
S. Prem Kumar ◽  
Stanislav Stratiev
Keyword(s):  
Chemical Potential ◽  
Chern Simons

CHIRAL ANOMALY OF MASSLESS FERMION AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL

2013 ◽  
Vol 28 (06) ◽  
pp. 1350006
Author(s):  
SONG SHI ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Field Theory ◽  
Chemical Potential ◽  
Transformation Property ◽  
Chiral Anomaly ◽  
Imaginary Time ◽  
Massless Fermion ◽  
Fermion Number ◽  
P Transformation ◽  
Physical Effects ◽  
Chern Simons

In this paper, using the imaginary-time temperature field theory, we discuss the possible modification of chiral anomaly of a massless fermion in (3+1)-dimensional QED (QED4) when the temperature and chemical potential effects are included. It is found that the chiral anomaly is independent of the temperature and chemical potential. Meanwhile, we also introduce the chemical potential corresponding to chiral charge, and find that it will induce a Chern–Simons-like term, which has similar C transformation properties (and opposite P transformation property) to the corresponding Chern–Simons term in (2+1)-dimensional QED (QED3). More importantly, we find that when the chemical potential corresponding to the fermion number is space-dependent, it will induce an extra anomaly term. It is expected that this can yield new physical effects.

scholarly journals Large charge sector of 3d parity-violating CFTs

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Gabriel Cuomo ◽  
Luca V. Delacrétaz ◽  
Umang Mehta
Keyword(s):  
Effective Field Theory ◽  
Ground State ◽  
Chemical Potential ◽  
Effective Field ◽  
Weakly Coupled ◽  
Matter Theory ◽  
Derivative Term ◽  
Chern Simons ◽  
Charge Sector ◽  
Large Charge

Abstract Certain CFTs with a global U(1) symmetry become superfluids when coupled to a chemical potential. When this happens, a Goldstone effective field theory controls the spectrum and correlators of the lightest large charge operators. We show that in 3d, this EFT contains a single parity-violating 1-derivative term with quantized coefficient. This term forces the superfluid ground state to have vortices on the sphere, leading to a spectrum of large charge operators that is remarkably richer than in parity-invariant CFTs. We test our predictions in a weakly coupled Chern-Simons matter theory.

scholarly journals Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Shiraz Minwalla ◽  
Amiya Mishra ◽  
Naveen Prabhakar
Keyword(s):  
Chemical Potential ◽  
Occupation Number ◽  
Bose Condensate ◽  
Exclusion Principle ◽  
Hooft Coupling ◽  
Fundamental Matter ◽  
Bose Condensates ◽  
Number Formula ◽  
Bose Einstein ◽  
Chern Simons

Abstract We generalize previously obtained results for the (all orders in the ’t Hooft coupling) thermal free energy of bosonic and fermionic large N Chern-Simons theories with fundamental matter, to values of the chemical potential larger than quasiparticle thermal masses. Building on an analysis by Geracie, Goykhman and Son, we present a simple explicit formula for the occupation number for a quasiparticle state of any given energy and charge as a function of the temperature and chemical potential. This formula is a generalization to finite ’t Hooft coupling of the famous occupation number formula of Bose-Einstein statistics, and implies an exclusion principle for Chern-Simons coupled bosons: the total number of bosons occupying any particular state cannot exceed the Chern-Simons level. Specializing our results to zero temperature we construct the phase diagrams of these theories as a function of chemical potential and the UV parameters. At large enough chemical potential, all the bosonic theories we study transit into a compressible Bose condensed phase in which the runaway instability of free Bose condensates is stabilized by the bosonic exclusion principle. This novel Bose condensate is dual to — and reproduces the thermodynamics of — the fermionic Fermi sea.

scholarly journals Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions

2020 ◽  
Author(s):  
◽  
Stanislav Stratiev
Keyword(s):  
Ground State ◽  
Particle Number ◽  
Chemical Potential ◽  
Vacuum Expectation ◽  
Simons Theory ◽  
Vortex Solutions ◽  
Scalar Potentials ◽  
Chern Simons ◽  
Do So ◽  
Chern Simons Theory

We study several matter Chern-Simons models at finite chemical potential. In the SU(N) theory we discover a colour-flavour locked Bose condensed ground state with vacuum expectation values for both the scalar and gauge fields. We identify this ground state with the non-commutative Chern-Simons description of the quan-tum Hall eect. We compute the quadratic spectrum and discover roton excitations. We find a self-consistent circularly symmetric ansatz for topological non-abelian vortices. 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 symme-try to be accompanied by a constant background charge density/ma-gnetic field. Focusing attention on power law scalar potentials |Φ|2s, s ∈ Z, which do not support vortex configurations in vacuum but do so at finite chemical potential, we numerically study classical vortex solutions for a large winding number |n|  1.

scholarly journals Massive Nambu–Goldstone fermions and bosons for non-relativistic superconformal symmetry: Jackiw–Pi vortices in a trap

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Toshiaki Fujimori ◽  
Muneto Nitta ◽  
Keisuke Ohashi
Keyword(s):  
Chemical Potential ◽  
Rotation Velocity ◽  
Supersymmetric Extension ◽  
Superconformal Symmetry ◽  
Fermion Number ◽  
Relativistic Version ◽  
Matter Theory ◽  
Bps States ◽  
Chern Simons ◽  
Goldstone Modes

Abstract We discuss a supersymmetric extension of a non-relativistic Chern–Simons matter theory, known as the supersymmetric Jackiw–Pi model, in a harmonic trap. We show that the non-relativistic version of the superconformal symmetry, called the super-Schrödinger symmetry, is not spoiled by an external field including the harmonic potential. It survives as a modified symmetry whose generators have explicit time dependences determined by the strength of the trap, the rotation velocity of the system, and the fermion number chemical potential. We construct 1/3 Bogomol'nyi–Prasad–Sommerfield (BPS) states of trapped Jackiw–Pi vortices preserving part of the modified superconformal symmetry and discuss fluctuations around static BPS configurations. In addition to the bosonic massive Nambu–Goldstone modes, we find that there exist massive Nambu–Goldstone fermions associated with broken generators of the modified super-Schrödinger symmetry. Furthermore, we find that eigenmodes form supermultiplets of a modified supersymmetry preserved by the static BPS backgrounds. As a consequence of the modified supersymmetry, infinite towers of explicit spectra can be found for eigenmodes corresponding to bosonic and fermionic lowest Landau levels.

scholarly journals Chern-Simons-matter theories at large baryon number

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Masataka Watanabe
Keyword(s):  
Fixed Point ◽  
Quantitative Analysis ◽  
Symmetry Breaking ◽  
Ground State ◽  
Chemical Potential ◽  
Baryon Number ◽  
Classical Analysis ◽  
Chern Simons ◽  
State Configuration ◽  
Large Charge

Abstract We study SU(2) Chern-Simons theories at level k coupled to a scalar on T2 × ℝ at large baryon number. We find a homogeneous but anisotropic ground state configuration for any values of k on the IR fixed-point of those models. This classical analysis is valid as long as we take the baryon number large. As a corollary, by comparing the symmetry breaking pattern at large chemical potential, we find that the theory does not reduce to the singlet sector of the O(4) Wilson-Fisher fixed-point at large-k, as expected from general grounds. This paper will be one primitive step towards quantitative analysis of Chern-Simons-matter dualities using the large charge expansion.

Holographic helical superconductor with higher curvature corrections

2018 ◽  
Vol 33 (01) ◽  
pp. 1850002 ◽  
Author(s):  
Subir Mukhopadhyay ◽  
Chandrima Paul
Keyword(s):  
Black Hole ◽  
Transition Temperature ◽  
Gauge Theory ◽  
Scalar Field ◽  
Chemical Potential ◽  
Critical Value ◽  
Free Energies ◽  
Holographic Superconductor ◽  
Bonnet Gravity ◽  
Chern Simons

We study [Formula: see text] gauge theory with Chern–Simons term, coupled to scalar field in adjoint, in Einstein–Gauss–Bonnet gravity. We explore phases of holographic superconductor in terms of the condensates and free energies in the background of AdS black hole and AdS soliton. In the case of black hole, we find with increasing strength of higher curvature terms, transition temperature decreases. For AdS soliton, the critical value of chemical potential increases as the higher curvature terms dominate.

scholarly journals The 4d superconformal index near roots of unity and 3d Chern-Simons theory

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Arash Arabi Ardehali ◽  
Sameer Murthy
Keyword(s):  
Asymptotic Expansion ◽  
Gauge Theory ◽  
Chemical Potential ◽  
Constant Term ◽  
Casimir Energy ◽  
Functional Integral ◽  
Simons Theory ◽  
Superconformal Index ◽  
Hamiltonian Index ◽  
Chern Simons

Abstract We consider the S3×S1 superconformal index ℐ(τ) of 4d $$ \mathcal{N} $$ N = 1 gauge theories. The Hamiltonian index is defined in a standard manner as the Witten index with a chemical potential τ coupled to a combination of angular momenta on S3 and the U(1) R-charge. We develop the all-order asymptotic expansion of the index as q = e2πiτ approaches a root of unity, i.e. as $$ \overset{\sim }{\tau } $$ τ ~ ≡ mτ+n → 0, with m, n relatively prime integers. The asymptotic expansion of log ℐ(τ) has terms of the form $$ \overset{\sim }{\tau } $$ τ ~ k, k = −2, −1, 0, 1. We determine the coefficients of the k = −2, −1, 1 terms from the gauge theory data, and provide evidence that the k = 0 term is determined by the Chern-Simons partition function on S3/ℤm. We explain these findings from the point of view of the 3d theory obtained by reducing the 4d gauge theory on the S1. The supersymmetric functional integral of the 3d theory takes the form of a matrix integral over the dynamical 3d fields, with an effective action given by supersymmetrized Chern-Simons couplings of background and dynamical gauge fields. The singular terms in the $$ \overset{\sim }{\tau } $$ τ ~ → 0 expansion (dictating the growth of the 4d index) are governed by the background Chern-Simons couplings. The constant term has a background piece as well as a piece given by the localized functional integral over the dynamical 3d gauge multiplet. The linear term arises from the supersymmetric Casimir energy factor needed to go between the functional integral and the Hamiltonian index.

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