20 research outputs found
On the Quantization of the Abelian Chern-Simons Coefficient at Finite Temperature
We show that when the Abelian \CS\ theory coupled to matter fields is
quantized in a vacuum with non vanishing magnetic flux (or electric charge),
the requirement of gauge invariance at finite temperature leads to the
quantization of the \CS\ coefficient and its quantum corrections, in a manner
similar to the non-Abelian case.Comment: 11 pages, LaTeX, no figures, no special macros. Some discussion and
references added. A minor error corrected. Final version to appear in Phys.
Lett.
Thermodynamics of relativistic fermions with Chern-Simons coupling.
We study the thermodynamics of the relativistic quantum field theory of massive fermions in three space-time dimensions coupled to an Abelian Maxwell-Chern-Simons gauge field. We evaluate the specific heat at finite temperature and density and find that the variation with the statistical angle is consistent with the nonrelativistic ideas on generalized statistics.Facultad de Ciencias Exacta
On the center-vortex baryonic area law
We correct an unfortunate error in an earlier work of the author, and show
that in center-vortex QCD (gauge group SU(3)) the baryonic area law is the
so-called law, described by a minimal area with three surfaces spanning the
three quark world lines and meeting at a central Steiner line joining the two
common meeting points of the world lines. (The earlier claim was that this area
law was a so-called law, involving three extremal areas spanning the
three pairs of quark world lines.) We give a preliminary discussion of the
extension of these results to . These results are based on the
(correct) baryonic Stokes' theorem given in the earlier work claiming a
law. The -form area law for SU(3) is in agreement with the most
recent lattice calculations.Comment: 5 pages, RevTeX4, 5 .eps figure
On The Finite Temperature Chern-Simons Coefficient
We compute the exact finite temperature effective action in a 0+1-dimensional
field theory containing a topological Chern-Simons term, which has many
features in common with 2+1-dimensional Chern-Simons theories. This exact
result explains the origin and meaning of puzzling temperature dependent
coefficients found in various naive perturbative computations in the higher
dimensional models.Comment: 11 pages LaTeX; no figure
Induced Parity Breaking Term at Finite Temperature
We compute the exact induced parity-breaking part of the effective action for
2+1 massive fermions in at finite temperature by calculating the
fermion determinant in a particular background. The result confirms that gauge
invariance of the effective action is respected even when large gauge
transformations are considered.Comment: to be published in Physical Review Letters. 5 pages, Revtex, no
figure
Gauge Invariance, Finite Temperature and Parity Anomaly in D=3
The effective gauge field actions generated by charged fermions in
and can be made invariant under both small and large gauge
transformations at any temperature by suitable regularization of the Dirac
operator determinant, at the price of parity anomalies. We resolve the paradox
that the perturbative expansion is not invariant, as manifested by the
temperature dependence of the induced Chern-Simons term, by showing that large
(unlike small) transformations and hence their Ward identities, are not
perturbative order-preserving. Our results are illustrated through concrete
examples of field configurations.Comment: 4 pages, RevTe
Derivative expansion and large gauge invariance at finite temperature
We study the 0+1 dimensional Chern-Simons theory at finite temperature within
the framework of derivative expansion. We obtain various interesting relations,
solve the theory within this framework and argue that the derivative expansion
is not a suitable formalism for a study of the question of large gauge
invariance.Comment: 12 pages, Late
Abelian and Non-Abelian Induced Parity Breaking Terms at Finite Temperature
We compute the exact canonically induced parity breaking part of the
effective action for 2+1 massive fermions in particular Abelian and non Abelian
gauge field backgrounds. The method of computation resorts to the chiral
anomaly of the dimensionally reduced theory.Comment: 13 pages, RevTeX, no figure
Thermodynamic properties of spontaneous magnetization in Chern-Simons QED_3
The spontaneous magnetization in Chern-Simons QED_3 is discussed in a finite
temperature system. The thermodynamical potential is analyzed within the weak
field approximation and in the fermion massless limit. We find that there is a
linear term with respect to the magnetic field with a negative coefficient at
any finite temperature. This implies that the spontaneous magnetic field does
not vanish even at high temperature. In addition, we examine the photon
spectrum in the system. We find that the bare Chern-Simons coefficient is
cancelled by the radiative effects. The photons then become topologically
massless according to the magnetization, though they are massive by finite
temperature effects. Thus the magnetic field is a long-range force without the
screening even at high temperature.Comment: 32 pages, Latex, 4 eps figure
Casimir scaling as a test of QCD vacuum
Recent accurate measurements of static potentials between sources in various
representations of the gauge group SU(3) performed by G.Bali provide a crucial
test of the QCD vacuum models and different approaches to confinement. The
Casimir scaling of the potential observed for all measured distances implies
strong suppression of higher cumulant contributions. The consequences for the
instanton vacuum model and the spectrum of the QCD string are also discussed.Comment: LaTeX, 15 pages, 1 figur