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We study dipole Chern-Simons theory with and without a cosmological constant in $2+1$ dimensions. We write the theory in a second order formulation and show that this leads to a fracton gauge theory coupled to Aristotelian geometry which…

High Energy Physics - Theory · Physics 2024-09-10 Jelle Hartong , Giandomenico Palumbo , Simon Pekar , Alfredo Pérez , Stefan Prohazka

The abelian Chern-Simons theory is perturbed by introducing local gauge-invariant interaction terms depending on the curvature. The computation of the correlation function of two Wilson lines for two smooth closed nonintersecting curves is…

High Energy Physics - Theory · Physics 2009-10-31 V. E. R. Lemes , C. A. Linhares , S. P. Sorella , L. C. Q. Vilar , D. G. G. Sasaki

In this paper, we show how to discretize the abelian Chern-Simons gauge theory on generic planar lattices/graphs (with or without translational symmetries) embedded in arbitrary 2D closed orientable manifolds. We find that, as long as a…

Strongly Correlated Electrons · Physics 2015-10-01 Kai Sun , Krishna Kumar , Eduardo Fradkin

We construct the D=3, N=5 harmonic superspace using the SO(5)/U(1) x U(1) harmonics. Three gauge harmonic superfields satisfy the off-shell constraints of the Grassmann and harmonic analyticities. The corresponding component supermultiplet…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Zupnik

$\gamma_5$ is notoriously difficult to define in $D$ dimensions. The traditional BMHV scheme employs a non-anticommuting $\gamma_5$. Its key advantage is mathematical consistency and the existence of all-order proofs. Its disadvantage is…

High Energy Physics - Phenomenology · Physics 2022-08-05 Hermès Bélusca-Maïto , Amon Ilakovac , Marija Mađor-Božinović , Paul Kühler , Dominik Stöckinger

The problem of Chern-Simons-like term induction via quantum corrections in four-dimensions is investigated in two different cases. In the first case, we consider two distinct approaches to deal with the exact fermion propagator of the…

High Energy Physics - Theory · Physics 2024-03-04 E. Passos , K. E. L. de farias , M. A. Anacleto , E. Maciel , C. A. G. Almeida

Recently it has been suggested that junctions between materials with different parity violating properties would be characterized by diffusion layers, analogous to those in the p-n junction. This remark is amplified by a fuller…

Condensed Matter · Physics 2016-08-31 Mark Burgess , Margaret Carrington

Taking as starting point a Lorentz and CPT non-invariant Chern-Simons-like model defined in 1+3 dimensions, we proceed realizing its dimensional reduction to D=1+2. One then obtains a new planar model, composed by the Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2014-11-18 H. Belich , M. M. Ferreira , J. A. Helayel-Neto , M. T. D. Orlando

We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum over topologically distinct gauge…

High Energy Physics - Theory · Physics 2018-05-02 Clay Cordova , Po-Shen Hsin , Nathan Seiberg

In this work the generation of generalized Chern-Simons terms in three dimensional quantum electrodynamics with high spatial derivatives is studied. We analyze the self-energy corrections to the gauge field propagator by considering an…

High Energy Physics - Theory · Physics 2013-10-03 Van Sérgio Alves , B. Charneski , M. Gomes , Leonardo Nascimento , Francisco Peña

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

We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian…

High Energy Physics - Theory · Physics 2009-10-31 M. L. Ciccolini , C. D. Fosco , F. A. Schaposnik

We derive an equivalence between the (2,0) superconformal M5-brane field theory dimensionally reduced on a squashed three-sphere, and Chern-Simons theory with complex gauge group. In the reduction, the massless fermions obtain an action…

High Energy Physics - Theory · Physics 2013-05-14 Clay Cordova , Daniel L. Jafferis

We consider a $U(1)$ Maxwell-Chern-Simons theory in $5$-dimensions, and analyze the vector perturbations around a classical charged black-brane background. We solve the equations of motion for these perturbations in a derivative expansion.…

High Energy Physics - Theory · Physics 2022-08-11 Jewel K. Ghosh , M. Arshad Momen

A Chern--Simons system in $2+1$ dimensions invariant under local Lorentz rotations, $SU(2)$ gauge transformations, and local $\mathcal{N}=2$ supersymmetry transformations is proposed. The field content is that of $(2+1)$-gravity plus an…

High Energy Physics - Theory · Physics 2015-08-26 Pedro D. Alvarez , Pablo Pais , Eduardo Rodríguez , Patricio Salgado-Rebolledo , Jorge Zanelli

For background gauge field configurations reducible to the form Amu = (A3, A(x)) where A3 is a constant, we provide an elementary derivation of the recently obtained result for the exact induced Chern-Simons (CS) effective action in QED3 at…

High Energy Physics - Theory · Physics 2009-10-30 I. J. R. Aitchison , C. D. Fosco

We consider quantum electrodynamics with additional coupling of spinor fields to the space-time independent axial vector violating both Lorentz and CPT symmetries. The Fock-Schwinger proper time method is used to calculate the one-loop…

High Energy Physics - Theory · Physics 2011-07-19 Yu. A. Sitenko , K. Yu. Rulik

General relativity is extended by promoting the three-dimensional gravitational Chern-Simons term to four dimensions. This entails choosing an embedding coordinate v_\mu -- an external quantity, which we fix to be a non-vanishing constant…

General Relativity and Quantum Cosmology · Physics 2014-11-17 R. Jackiw , S. -Y. Pi

It is argued that the derivative expansion is a suitable method to deal with finite temperature field theory, if it is restricted to spatial derivatives only. Using this method, a simple and direct calculation is presented for the…

High Energy Physics - Theory · Physics 2009-11-07 L. L. Salcedo

In this work, we study the behavior of the nonabelian five-dimensional Chern-Simons term at finite temperature regime in order to verify the possible nonanalyticity. We employ two methods, a perturbative and a non-perturbative one. No…

High Energy Physics - Theory · Physics 2021-08-03 J. F. Assunção , J. Furtado , T. Mariz