40 research outputs found
Gribov gap equation at finite temperature
In this paper the Gribov gap equation at finite temperature is analyzed. The
solutions of the gap equation (which depend explicitly on the temperature)
determine the structure of the gluon propagator within the semi-classical
Gribov approach. The present analysis is consistent with the standard
confinement scenario for low temperatures, while for high enough temperatures,
deconfinement takes place and a free gluon propagator is obtained. It also
suggests the presence of the so-called semi-quark-gluon-plasma phase in between
the confined and quark-gluon plasma phases.Comment: 22 pages, 9 figures. Comments added, relevant references include
Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
The Moore-Read state is one the most well known non-Abelian fractional
quantum Hall states. It supports non-Abelian Ising anyons in the bulk and a
chiral bosonic and chiral Majorana modes on the boundary. It has been recently
conjectured that these modes are superpartners of each other and described by a
supersymmetric conformal field theory [1]. We propose a non-relativistic
supergeometric theory that is compatible with this picture and gives rise to an
effective spin-3/2 field in the bulk. After breaking supersymmetry through a
Goldstino, the spin-3/2 field becomes massive and can be seen as the neutral
collective mode that characterizes the Moore-Read state. By integrating out
this fermion field, we obtain a purely bosonic topological action that properly
encodes the Hall conductivity, Hall viscosity and gravitational anomaly. Our
work paves the way to the exploration of the fractional quantum Hall effect
through non-relativistic supergeometry.Comment: 7 pages, details added, typos correcte
Extended Nappi-Witten Geometry for the Fractional Quantum Hall Effect
Motivated by the recent progresses in the formulation of geometric theories
for the fractional quantum Hall states, we propose a novel non-relativistic
geometric model for the Laughlin states based on an extension of the
Nappi-Witten geometry. We show that the U(1) gauge sector responsible for the
fractional Hall conductance, the gravitational Chern-Simons action and Wen-Zee
term associated to the Hall viscosity can be derived from a single Chern-Simons
theory with a gauge connection that takes values in the extended Nappi-Witten
algebra. We then provide a new derivation of the chiral boson associated to the
gapless edge states from the Wess-Zumino-Witten model that is induced by the
Chern-Simons theory on the boundary.Comment: 5 page
Meron-like topological solitons in massive Yang-Mills theory and the Skyrme model
We show that gravitating Merons in -dimensional massive Yang-Mills theory
can be mapped to solutions of the Einstein-Skyrme model. The identification of
the solutions relies on the fact that, when considering the Meron ansatz for
the gauge connection , the massive Yang-Mills equations
reduce to the Skyrme equations for the corresponding group element . In the
same way, the energy-momentum tensors of both theories can be identified and
therefore lead to the same Einstein equations. Subsequently, we focus on the
case and show that introducing a mass for the Yang-Mills field
restricts Merons to live on geometries given by the direct product of (or
) and Lorentzian manifolds with constant Ricci scalar. We construct
explicit examples for and . Finally, we comment on possible
generalizations.Comment: 22 pages, typos corrected, references adde
Fracton gauge fields from higher dimensional gravity
We show that the fractonic dipole-conserving algebra can be obtained as an
Aristotelian (and pseudo-Carrollian) contraction of the Poincar\'e algebra in
one dimension higher. Such contraction allows to obtain fracton electrodynamics
from a relativistic higher-dimensional theory upon dimensional reduction. The
contraction procedure produces several scenarios including the some of the
theories already discussed in the literature. A curved space generalization is
given, which is gauge invariant when the Riemann tensor of the background
geometry is harmonic.Comment: 21 page
Gribov ambiguity and degenerate systems
The relation between Gribov ambiguity and degeneracies in the symplectic
structure of physical systems is analyzed. It is shown that, in
finite-dimensional systems, the presence of Gribov ambiguities in regular
constrained systems (those where the constraints are functionally independent)
always leads to a degenerate symplectic structure upon Dirac reduction. The
implications for the Gribov-Zwanziger approach to QCD are discussed.Comment: 26 pages, 6 figures. Comments and references adde