30 research outputs found
Higgs-inspired corrections to the RG flow in the finite-temperature 3D Georgi-Glashow model and its SU(N)-generalization
The Berezinsky-Kosterlitz-Thouless (BKT) RG flow in the ensemble of monopoles
existing in the finite-temperature (2+1)D Georgi-Glashow model is explored in
the regime when the Higgs field is not infinitely heavy, but its mass is rather
of the same order of magnitude as the mass of the W-boson. The corrections to
the standard RG flow are derived to the leading order in the inverse mass of
the Higgs boson. According to the obtained RG equations, the scaling of the
free-energy density in the critical region and the value of the critical
temperature of the phase transition are found to be unaffected by the
finiteness of the Higgs-boson mass. The evolution of the Higgs mass itself is
also investigated and shown to be rather weak, that enables one to treat this
parameter as a constant. The same analysis is further performed in the
SU(N)-case at N>2, where the RG invariance is demonstrated to hold only
approximately, in a certain sense. Modulo this approximation, the critical
behaviour of the SU(N)-model turns out to be identical to that of the
SU(2)-one.Comment: 12 pages, LaTeX2e, no figure
Chiral thermodynamics in a magnetic field
We study thermodynamic properties of the QCD vacuum in a magnetic field below
chiral phase transition. The hadronic phase free energy in a constant
homogeneous magnetic field is calculated in the framework of the chiral
perturbation theory at non-zero pionic mass. It is demonstrated that the order
parameter of the chiral phase transition remains constant provided temperature
and magnetic field strength are related through obtained equation (the
phenomenon of ''quark condensate freezing'').Comment: RevTeX4, 9 pages, no figure
BCS-Bose Crossover in Color Superconductivity
It is shown that the onset of the color superconducting phase occurs in the
BCS-BE crossover region.Comment: 5 pages, LaTeX, references adde
Interaction of electric charges in (2+1)D magnetic dipole gas
The interaction of electrically charged particles in a dilute gas of
point--like magnetic dipoles is studied. We show that the interaction potential
at small distances has a linear piece due to overlap of the dipole clouds
gathered near electric sources. At large distances the potential becomes of the
Coulomb type with non-perturbatively renormalized charge of the test particle.
The physical applications of these results are discussed.Comment: 23 pages, 12 EPS figures, RevTeX, uses epsfig.sty; misprints
corrected (to appear in Phys.Rev.D
A lattice study of 3D compact QED at finite temperature
We study the deconfinement phase transition and monopole properties in the
finite temperature 3D compact Abelian gauge model on the lattice. We predict
the critical coupling as function of the lattice size in a simplified model to
describe monopole binding. We demonstrate numerically that the monopoles are
sensitive to the transition. In the deconfinement phase the monopoles appear in
the form of a dilute gas of magnetic dipoles. In the confinement phase both
monopole density and string tension differ from semiclassical estimates if
monopole binding is neglected. However, the analysis of the monopole clusters
shows that the relation between the string tension and the density of monopoles
in charged clusters is in reasonable agreement with those predictions. We study
the cluster structure of the vacuum in both phases of the model.Comment: 18 pages, 14 EPS figures, LaTeX uses epsfig.st
The chicken or the egg; or Who ordered the chiral phase transition?
We draw an analogy between the deconfining transition in the 2+1 dimensional
Georgi-Glashow model and the chiral phase transition in 3+1 dimensional QCD.
Based on the detailed analysis of the former (hep-th/0010201) we suggest that
the chiral symmetry restoration in QCD at high temperature is driven by the
thermal ensemble of baryons and anti-baryons. The chiral symmetry is restored
when roughly half of the volume is occupied by the baryons. Surprisingly
enough, even though baryons are rather heavy, a crude estimate for the critical
temperature gives Mev. In this scenario the binding of the instantons
is not the cause but rather a consequence of the chiral symmetry restoration.Comment: 22 pages, 7 figures, comments about chiral symmetry at finite nuclear
density are adde
Photon propagator, monopoles and the thermal phase transition in 3D compact QED
We investigate the gauge boson propagator in three dimensional compact
Abelian gauge model in the Landau gauge at finite temperature. The presence of
the monopole plasma in the confinement phase leads to appearance of an
anomalous dimension in the momentum dependence of the propagator. The anomalous
dimension as well as an appropriate ratio of photon wave function
renormalization constants with and without monopoles are observed to be order
parameters for the deconfinement phase transition. We discuss the relation
between our results and the confining properties of the gluon propagator in
non--Abelian gauge theories.Comment: 4 pages, 5 EPS figures, RevTeX 4, uses epsfig.sty; repaced to match
version accepted for publication in Phys. Rev. Lett. (discussion on fits is
extended
The photon propagator in compact QED_{2+1}: the effect of wrapping Dirac strings
We discuss the influence of closed Dirac strings on the photon propagator in
the Landau gauge emerging from a study of the compact U(1) gauge model in 2+1
dimensions. This gauge also minimizes the total length of the Dirac strings.
Closed Dirac strings are stable against local gauge-fixing algorithms only due
to the torus boundary conditions of the lattice. We demonstrate that these
left-over Dirac strings are responsible for the previously observed unphysical
behavior of the propagator of space-like photons (D_T) in the deconfinement
(high temperature) phase. We show how one can monitor the number N_3 of thermal
Dirac strings which allows to separate the propagator measurements into N_3
sectors. The propagator in N_3 \neq 0 sectors is characterized by a non--zero
mass and an anomalous dimension similarly to the confinement phase. Both mass
squared and anomalous dimension are found to be proportional to N_3.
Consequently, in the N_3=0 sector the unphysical behavior of the D_T photon
propagator is cured and the deviation from the free massless propagator
disappears.Comment: 13 pages, 13 figures, 1 tabl
Phase Structure and Nonperturbative States in Three-Dimensional Adjoint Higgs Model
The thermodynamics of 3d adjoint Higgs model is considered. We study the
properties of the Polyakov loop correlators and the critical behavior at the
deconfinement phase transition. Our main tool is a reduction to the 2d
sine-Gordon model. The Polyakov loops appear to be connected with the soliton
operators in it. The known exact results in the sine-Gordon theory allow us to
study in detail the temperature dependence of the string tension, as well as to
get some information about a nonperturbative dynamics in the confinement phase.
We also consider the symmetry restoration at high temperature which makes it
possible to construct the phase diagram of the model completely.Comment: 15pp., Revtex; 4 figures; replaced by a version to be published in
Phys. Rev.
Glueballs, gluerings and gluestars in the d=2+1 SU(N) gauge theory
The 3d gluodynamics which governs the large T quark gluon plasma is studied
in the framework of the field correlator method. Field correlators and spacial
string tension are derived through the gluelump Green's functions. The glueball
spectrum is calculated both in C=-1 as well as in C=+1 sectors, and multigluon
bound states in the form of "gluon rings" and "gluon stars" are computed
explicitly. Good overall agreement with available lattice data is observed.Comment: 19 page