scholarly journals Perturbative Chern-Simons theory in the light-cone gauge. The one-loop vacuum polarization tensor in a gauge-invariant formalism

1992 ◽  
Vol 377 (3) ◽  
pp. 593-621 ◽  
Author(s):  
G. Leibbrandt ◽  
C.P. Martin
Keyword(s):  
Light Cone ◽  
Vacuum Polarization ◽  
Simons Theory ◽  
Polarization Tensor ◽  
Gauge Invariant ◽  
Light Cone Gauge ◽  
The One ◽  
Chern Simons ◽  
Vacuum Polarization Tensor ◽  
Chern Simons Theory

scholarly journals Explicit Connection Between Conformal Field Theory and 2+1 Chern–Simons Theory

1997 ◽  
Vol 12 (23) ◽  
pp. 1687-1697
Author(s):  
Daniel C. Cabra ◽  
Gerardo L. Rossini
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Wilson Loop ◽  
Simons Theory ◽  
Gauge Invariant ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons Theory

We give explicit field theoretical representations for the observables of (2+1)-dimensional Chern–Simons theory in terms of gauge-invariant composites of 2-D WZW fields. To test our identification we compute some basic Wilson loop correlators and re-obtain the known results.

scholarly journals STATIC POTENTIAL AND A NEW GENERALIZED CONNECTION IN THREE DIMENSIONS

2004 ◽  
Vol 19 (22) ◽  
pp. 1695-1700 ◽  
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Three Dimensions ◽  
Simons Theory ◽  
Static Potential ◽  
Gauge Invariant ◽  
Confining Potential ◽  
Static Interaction ◽  
Pure Gauge Theory ◽  
Chern Simons ◽  
Chern Simons Theory

For a recently proposed pure gauge theory in three dimensions, without a Chern–Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. As a consequence, a confining potential is obtained. This result displays a marked qualitative departure from the usual Maxwell–Chern–Simons theory.

scholarly journals Yang-Mills theory, 2 + 1 and 3 + 1 dimensions

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2415-2422 ◽  
Author(s):  
V. P. NAIR
Keyword(s):  
String Tension ◽  
Simons Theory ◽  
Nonzero Temperature ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Magnetic Mass ◽  
Chern Simons ◽  
Chern Simons Theory

I review the analysis of (2+1)-dimensional Yang-Mills (YM2+1) theory via the use of gauge-invariant matrix variables. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for YM3+1at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed. A possible extension to 3 + 1 dimensions is also briefly considered.

ON MAXWELL-CHERN-SIMONS THEORY WITH ANOMALOUS MAGNETIC MOMENT

1992 ◽  
Vol 07 (13) ◽  
pp. 1149-1156 ◽  
Author(s):  
Y. GEORGELIN ◽  
J. C. WALLET
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Magnetic Coupling ◽  
Contact Term ◽  
Simons Theory ◽  
Tree Level ◽  
Photon Mass ◽  
The One ◽  
Chern Simons ◽  
Chern Simons Theory

We analyze the Maxwell-Chern-Simons theory with minimal and tree level magnetic coupling to a fermion and a scalar. For a unique value of the magnetic moment, this theory allows one to recover an anyon-like behavior which however differs from the one of ideal anyons by an attractive contact term. For this particular value of the magnetic moment, we find that the physical photon mass does not receive one-loop radiative corrections. We comment this result and some physical aspects of the theory.

Coulomb Gauge Quantization and Renormalization of the Chern–Simons Theory Coupled to Fermions

1997 ◽  
Vol 12 (16) ◽  
pp. 2889-2901 ◽  
Author(s):  
M. Fleck ◽  
A. Foerster ◽  
H. O. Girotti ◽  
M. Gomes ◽  
J. R. S. Nascimento ◽  
...  
Keyword(s):  
Coulomb Gauge ◽  
The Self ◽  
Simons Theory ◽  
Fermion Propagator ◽  
Lorentz Covariance ◽  
Self Energy ◽  
The One ◽  
Chern Simons ◽  
Physical Quantities ◽  
Chern Simons Theory

We study the quantization and the one-loop renormalization of the model resulting from the coupling of charged fermions with a Chern–Simons field, in the Coulomb gauge. A proof of the Lorentz covariance of the physical quantities follows after establishing the Dirac–Schwinger algebra for the Poincaré densities and the transformation properties of the fields under the Poincaré group. The Coulomb gauge one-loop renormalization program is, afterwards, implemented. The noncovariant form of the one-loop fermion propagator, Chern–Simons field propagator and the vertex are explicitly obtained. Finally, the electron anomalous magnetic moment is calculated stressing that, due to the peculiarities of the Coulomb gauge, the contributions from the self-energy diagrams turn out to be essential.

VACUUM POLARIZATION TENSOR IN THREE-DIMENSIONAL QUANTUM ELECTRODYNAMICS

1992 ◽  
Vol 07 (21) ◽  
pp. 5307-5316 ◽  
Author(s):  
B.M. PIMENTEL ◽  
A.T. SUZUKI ◽  
J.L. TOMAZELLI
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Three Dimensional ◽  
Boson Mass ◽  
Polarization Tensor ◽  
Regularization Technique ◽  
Abelian Case ◽  
Gauge Boson Mass ◽  
The One ◽  
Vacuum Polarization Tensor

We evaluate the one-loop vacuum polarization tensor for three-dimensional quantum electrodynamics (QED), using an analytic regularization technique, implemented in a gauge-invariant way. We show thus that a gauge boson mass is generated at this level of radiative correction to the photon propagator. We also point out in our conclusions that the generalization for the non Abelian case is straightforward.

The vacuum polarization in two-dimensional noncommutative QED

2003 ◽  
Vol 81 (8) ◽  
pp. 997-1003 ◽  
Author(s):  
F T Brandt ◽  
D.G.C. McKeon
Keyword(s):  
Vector Field ◽  
Gauge Field ◽  
Vacuum Polarization ◽  
Two Dimensions ◽  
Tree Level ◽  
Polarization Tensor ◽  
Two Dimensional ◽  
First Order ◽  
The One ◽  
Vacuum Polarization Tensor

The one-loop vacuum polarization tensor in noncommutative spinor QED in two dimensions is computed. A first-order formalism is used to simplify the interaction vertices for the vector field. Although the form of the gauge field-spinor interaction is chosen so as to vanish at tree level, as the noncommuting parameter goes to zero, the vacuum polarization is nontrivial in this limit. PACS No.: 12.20.–m

Sign in / Sign up

Export Citation Format

Share Document