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We study the Yang-Mills-Chern-Simons theory systematically in an effort to generalize the Coleman-Hill result to the non-Abelian case. We show that, while the Chern-Simons coefficient is in general gauge dependent in a non-Abelian theory,…

High Energy Physics - Theory · Physics 2009-10-31 F. T. Brandt , Ashok Das , J. Frenkel

We study quantum Chern-Simons theory as the large mass limit of the limit $D\to 3$ of dimensionally regularized topologically massive Yang-Mills theory. This approach can also be interpreted as a BRS-invariant hybrid regularization of…

High Energy Physics - Theory · Physics 2014-11-18 G. Giavarini , C. P. Martin , F. Ruiz Ruiz

We analyze the structure of noncommutative pure Chern-Simons theory systematically in the axial gauge. We show that there is no IR/UV mixing in this theory in this gauge. In fact, we show, using the usual BRST identities as well as the…

High Energy Physics - Theory · Physics 2009-11-07 Ashok Das , M. M. Sheikh-Jabbari

Perturbative renormalization of a non-Abelian Chern-Simons gauge theory is examined. It is demonstrated by explicit calculation that, in the pure Chern-Simons theory, the beta-function for the coefficient of the Chern-Simons term vanishes…

High Energy Physics - Theory · Physics 2009-10-22 Wei Chen , Gordon W. Semenoff , Yong-Shi Wu

We give a very simple proof that the renormalization of the Chern-Simons coupling in the Wilsonian effective action is exhausted at one-loop. Our proof can apply to arbitrary 2+1-dimensional abelian as well as nonabelian gauge theories…

High Energy Physics - Theory · Physics 2009-10-31 Makoto Sakamoto , Hiroyuki Yamashita

The Coleman-Hill theorem prohibits the appearance of radiative corrections to the topological mass (more precisely, to the parity-odd part of the vacuum polarization tensor at zero momentum) in a wide class of abelian gauge theories in 2+1…

High Energy Physics - Theory · Physics 2009-10-28 Avinash Khare , R. MacKenzie , M. B. Paranjape

In this work, we study the three-dimensional non-Abelian noncommutative supersymmetric Chern-Simons model with the U(N) gauge group. Using a superfield formulation, we prove that, for the pure gauge theory, the Green functions are one-loop…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , A. Yu. Petrov , A. J. da Silva

Topologically massive Yang-Mills theory is studied in the framework of geometric quantization. Since this theory has a mass gap proportional to the topological mass m, Yang-Mills contribution decays exponentially at very large distances…

High Energy Physics - Theory · Physics 2015-02-17 Tuna Yildirim

We analyze an abelian gauge model in 3 dimensions which includes massless scalar matter fields. By controlling the trace anomalies with a local dilatation Ward identity, we show that, in perturbation theory and within the BPHZL scheme, the…

High Energy Physics - Theory · Physics 2009-10-22 Alberto Blasi , Nicola Maggiore , Silvio P. Sorella

We calculate the one loop corrections to the Chern-Simons coefficient $\kappa$ in the Higgs phase of Yang-Mills Chern-Simons Higgs theories. When the gauge group is SU(N), we show, by taking into account the effect of the would be…

High Energy Physics - Theory · Physics 2009-10-30 Hsien-chung Kao

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

In this thesis, topologically massive Yang-Mills theory is studied in the framework of geometric quantization. This theory has a mass gap that is proportional to the topological mass $m$. Thus, Yang-Mills contribution decays exponentially…

High Energy Physics - Theory · Physics 2018-01-18 Tuna Yildirim

We discuss the two-point functions of the U(1) current and energy-momentum tensor in certain gapped three-dimensional field theories, and show that the parity-odd part in both of these correlation functions is one-loop exact. In particular,…

High Energy Physics - Theory · Physics 2015-06-15 Tomer Shacham

The goal of this paper is two-fold: we generalize the arithmetic Chern-Simons theory over totally imaginary number fields studied in [Kim15, CKK+16] to arbitrary number fields (with real places) and provide new examples of non-trivial…

Number Theory · Mathematics 2023-08-23 Jungin Lee , Jeehoon Park

Complex vector fields with Maxwell, Chern-Simons and Proca terms are minimally coupled to an Abelian gauge field. The consistency of the spectrum is analysed and 1-loop quantum corrections to the self-energy are explicitly computed and…

High Energy Physics - Theory · Physics 2009-10-28 O. M. Del Cima , F. A. B. Rabelo de Carvalho

We invoke universal Chern-Simons theory to analytically calculate the exact free energy of the refined topological string on the resolved conifold. In the unrefined limit we reproduce non-perturbative corrections for the resolved conifold…

High Energy Physics - Theory · Physics 2015-06-15 Daniel Krefl , Ruben L. Mkrtchyan

We consider a Lorentz-violating modification to the fermionic Lagrangian of QED that is known to produce a finite Chern-Simons term at leading order. We compute the second order correction to the one-loop photon self-energy in the massless…

High Energy Physics - Theory · Physics 2007-05-23 B. Altschul

We demonstrate explicitly the absence of the quantum corrections to the Carroll-Field-Jackiw (CFJ) term beyond one-loop within the Lorentz-breaking CPT-odd extension of QED. The proof holds within two prescriptions of quantum calculations,…

High Energy Physics - Theory · Physics 2021-03-02 L. C. T. Brito , J. C. C. Felipe , A. Yu. Petrov , A. P. Baêta Scarpelli

We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, we obtain that for values $g=n/2\pi$ of the CS coupling with $n=\pm 1,\pm 2$, the…

Strongly Correlated Electrons · Physics 2007-05-23 E. Smorgrav , J. Smiseth , A. Sudbo , F. S. Nogueira

We study one-loop correction to the Chern-Simons coefficient $\kappa=k/4\pi$ in $N=1,2,3$ supersymmetric Yang-Mills Chern-Simons systems. In the pure bosonic case, the shift of the parameter $k$ is known to be $k\rightarrow k + c_v$, where…

High Energy Physics - Theory · Physics 2017-08-23 Hsien-Chung Kao , Kimyeong Lee , Taejin Lee
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