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Related papers: Induced Chern-Simons terms

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I point out that the $U(N)$ Chern-Simons $3d$ theory coupled to fermions at finite temperature and at a specific mean field approximation and the $3d$ Gross-Neveu model at finite temperature and imaginary chemical potential can give us the…

High Energy Physics - Theory · Physics 2023-07-18 Evangelos G. Filothodoros

We show that the functional bosonization procedure can be generalized in such a way that, to any field theory with a conserved Abelian charge in (2+1) dimensions, there corresponds a dual Abelian gauge field theory. The properties of this…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , V. E. R. Lemes , L. E. Oxman , S. P. Sorella , O. S. Ventura

We derive the six-dimensional (1,0) effective action arising from F-theory on an elliptically fibered Calabi-Yau threefold with multiple sections. The considered theories admit both non-Abelian and Abelian gauge symmetries. Our derivation…

High Energy Physics - Theory · Physics 2013-05-10 Thomas W. Grimm , Andreas Kapfer , Jan Keitel

Based on a model of the d=3 SU(2) pure gauge theory vacuum as a monopole-vortex condensate, we give a quantitative (if model-dependent) estimate of the relation between the string tension and a gauge-invariant measure of the Chern-Simons…

High Energy Physics - Theory · Physics 2009-10-28 John M. Cornwall , Bryce Yan

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

Axion inflation models coupled to a gauge sector via a Chern-Simons term exhibit an array of interesting phenomenology including a chiral gravitational wave spectrum and primordial black hole production. They may also provide a useful…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-13 Sukannya Bhattacharya , Matteo Fasiello , Alexandros Papageorgiou , Ema Dimastrogiovanni

We study contact terms of conserved currents and the energy-momentum tensor in three-dimensional quantum field theory. They are associated with Chern-Simons terms for background fields. While the integer parts of these contact terms are…

High Energy Physics - Theory · Physics 2015-06-05 Cyril Closset , Thomas T. Dumitrescu , Guido Festuccia , Zohar Komargodski , Nathan Seiberg

We study the low energy phase structure of SU(2) gauge theories in three-dimensional spacetime, at finite baryon density. The pseudoreality of representations of SU(2) permits an analytic study of a real baryon chemical potential, and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gerald V. Dunne , Shinsuke M. Nishigaki

The general conditions for the Chern-Simons action to be induced as a nonuniversal contribution of fermionic determinant are formulated in the finite temperature lattice QCD. The dependence of the corresponding action coefficient on…

High Energy Physics - Lattice · Physics 2009-10-22 O. A. Borisenko , V. K. Petrov , G. M. Zinovjev

We study Chern-Simons Gauge Theory in axial gauge on ${\mathbb R}^3.$ This theory has a quadratic Lagrangian and therefore expectations can be computed nonperturbatively by explicit formulas, giving an (unbounded) linear functional on a…

Differential Geometry · Mathematics 2024-05-28 Jonathan Weitsman

We consider models in which nonrelativistic matter fields interact with gauge fields whose dynamics are governed by the Chern-Simons term. The relevant equations of motion are derived and reduced dimensionally in time or in space.…

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw , So-Young Pi

This paper was originally designated as Comment to the paper by R. Jackiw and V. Alan Kostelecky (hep-ph/9901358). We provide an example of the fermionic system, the superfluid 3He-A, in which the CPT-odd Chern-Simons terms in the effective…

High Energy Physics - Theory · Physics 2009-10-31 G. E. Volovik

The parity-violating topological term in the effective action for 2+1 massive fermions is computed at finite temperature in the presence of a constant background field strength tensor. Gauge invariance of the finite-temperature effective…

High Energy Physics - Theory · Physics 2009-10-30 R. Gonzalez Felipe

An Abelian gauge theory with Chern-Simons term is investigated for a four-component Dirac fermion in 1+2 dimensions. The Ball-Chiu (BC) vertex function is employed to modify the rainbow-ladder approximation for the Schwinger-Dyson (SD)…

High Energy Physics - Phenomenology · Physics 2015-02-11 Yuichi Hoshino , Tomohiro Inagaki , Yuichi Mizutani

A Hamiltonian analysis of Yang-Mills (YM) theory in (2+1) dimensions with a level $k$ Chern-Simons term is carried out using a gauge invariant matrix parametrization of the potentials. The gauge boson states are constructed and the…

High Energy Physics - Theory · Physics 2015-06-26 Dimitra Karabali , Chanju Kim , V. P. Nair

We study an Abelian gauged $O(5)$ Skyrme model in $4+1$ dimensions, featuring the $F^4$ Maxwell and the Chern-Simons terms. Our aim is to expose the mechanism, discovered in the analogous Abelian gauged $O(3)$ Skyrme model in $2+1$…

High Energy Physics - Theory · Physics 2021-01-27 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

I investigate the effects of the Chern-Simons coupling on high-energy behavior in $2+1$ dimensional U(1) gauged $\eta(\phi^\dagger\phi)^3$ theory with a Chern-Simons term. The effective potential and the $\beta$ function for $\eta$ are…

High Energy Physics - Theory · Physics 2009-10-28 S. H. Park

A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for such a functional in appropriate function spaces to prove…

Mathematical Physics · Physics 2024-11-27 Amit Acharya , Janusz Ginster , Ambar N. Sengupta

We present and study a model of 4-dimensional higher Chern-Simons theory, special Chern-Simons (SCS) theory, instances of which have appeared in the string literature, whose symmetry is encoded in a skeletal semistrict Lie 2-algebra…

High Energy Physics - Theory · Physics 2016-05-25 Roberto Zucchini

The properties of the multisoliton solutions of the (2+1)-dimensional Maxwell-Chern-Simons-Skyrme model are investigated numerically. Coupling to the Chern-Simons term allows for existence of the electrically charge solitons which may also…

High Energy Physics - Theory · Physics 2017-02-15 A. Samoilenka , Ya. Shnir