124 research outputs found
Abelian monopoles in lattice gluodynamics as physical objects
By numerical calculations we show that the abelian monopole currents are
locally correlated with the density of SU(2) lattice action. This fact is
established for the maximal abelian projection. Thus, in the maximal abelian
projection the monopoles are physical objects, they carry SU(2) action.
Calculations on the asymmetric lattice show that the correlation between
monopole currents and the density of SU(2) lattice action also exists in the
deconfinement phase of gluodynamics.Comment: 3 pages, 2 figures, LaTeX using espcrc2.sty and epsfig.sty; Talk
given by M.I. Polikarpov at the International Symposium on Lattice Field
Theory, 22-26 July 1997, Edinburgh, Scotlan
"Confinement Mechanism in Various Abelian Projections of Lattice Gluodynamics"
We show that the monopole confinement mechanism in lattice gluodynamics is a
particular feature of the maximal abelian projection. We give an explicit
example of the projection (the minimal abelian
projection), in which the confinement is due to topological objects other than
monopoles. We perform analytical and numerical study of the loop expansion of
the Faddeev--Popov determinant for the maximal and the minimal abelian
projections, and discuss the fundamental modular region for these projections.Comment: 16 pages (LaTeX) and 3 figures, report ITEP-94-6
Affect fluctuations examined with ecological momentary assessment in patients with current or remitted depression and anxiety disorders
Affect fluctuations examined with ecological momentary assessment in patients with current or remitted depression and anxiety disorders
Simulated-physiological loading conditions preserve biological and mechanical properties of caprine lumbar intervertebral discs in ex vivo culture
The monopole mass in the three-dimensional Georgi-Glashow model
We study the three-dimensional Georgi-Glashow model to demonstrate how
magnetic monopoles can be studied fully non-perturbatively in lattice Monte
Carlo simulations, without any assumptions about the smoothness of the field
configurations. We examine the apparent contradiction between the conjectured
analytic connection of the `broken' and `symmetric' phases, and the
interpretation of the mass (i.e., the free energy) of the fully quantised 't
Hooft-Polyakov monopole as an order parameter to distinguish the phases. We use
Monte Carlo simulations to measure the monopole free energy and its first
derivative with respect to the scalar mass. On small volumes we compare this to
semi-classical predictions for the monopole. On large volumes we show that the
free energy is screened to zero, signalling the formation of a confining
monopole condensate. This screening does not allow the monopole mass to be
interpreted as an order parameter, resolving the paradox.Comment: 12 pages, 7 figures, uses revtex. Minor changes made to the text to
match with the published version at
http://link.aps.org/abstract/PRD/v65/e12500
Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
We give an outline of a recent proof that the low-energy effective gauge
theory exhibiting quark confinement due to magnetic monopole condensation can
be derived from QCD without any specific assumption. We emphasize that the
low-energy effective abelian gauge theories obtained here give the dual
description of the same physics in the low-energy region. They show that the
QCD vacuum is nothing but the dual (type II) superconductor.Comment: 15 pages, Latex, no figures, Talk given at YKIS'97, Non-perturbative
QCD, Kyot
Lattice QCD Simulations in External Background Fields
We discuss recent results and future prospects regarding the investigation,
by lattice simulations, of the non-perturbative properties of QCD and of its
phase diagram in presence of magnetic or chromomagnetic background fields.
After a brief introduction to the formulation of lattice QCD in presence of
external fields, we focus on studies regarding the effects of external fields
on chiral symmetry breaking, on its restoration at finite temperature and on
deconfinement. We conclude with a few comments regarding the effects of
electromagnetic background fields on gluodynamics.Comment: 31 pages, 10 figures, minor changes and references added. To appear
in Lect. Notes Phys. "Strongly interacting matter in magnetic fields"
(Springer), edited by D. Kharzeev, K. Landsteiner, A. Schmitt, H.-U. Ye
Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
Starting from SU(2) Yang-Mills theory in 3+1 dimensions, we prove that the
abelian-projected effective gauge theories are written in terms of the maximal
abelian gauge field and the dual abelian gauge field interacting with monopole
current. This is performed by integrating out all the remaining non-Abelian
gauge field belonging to SU(2)/U(1). We show that the resulting abelian gauge
theory recovers exactly the same one-loop beta function as the original
Yang-Mills theory. Moreover, the dual abelian gauge field becomes massive if
the monopole condensation occurs. This result supports the dual superconductor
scenario for quark confinement in QCD. We give a criterion of dual
superconductivity and point out that the monopole condensation can be estimated
from the classical instanton configuration. Therefore there can exist the
effective abelian gauge theory which shows both asymptotic freedom and quark
confinement based on the dual Meissner mechanism. Inclusion of arbitrary number
of fermion flavors is straightforward in this approach. Some implications to
lower dimensional case will also be discussed.Comment: 39 pages, Latex, no figures, (2.2, 4.1, 4.3 are modified; 4.4,
Appendices A,B,C and references are added. No change in conclusion
Monopole characteristics in various Abelian gauges
Renormalization group (RG) smoothing is employed on the lattice to
investigate and to compare the monopole structure of the SU(2) vacuum as seen
in different gauges (maximally Abelian (MAG), Polyakov loop (PG) and Laplacian
gauge (LG)). Physically relevant types of monopoles (LG and MAG) are
distinguished by their behavior near the deconfining phase transition. For the
LG, Abelian projection reproduces well the gauge independent monopole structure
encoded in an auxiliary Higgs field. Density and localization properties of
monopoles, their non-Abelian action and topological charge are studied. Results
are presented confirming the Abelian dominance with respect to the
non-perturbative static potential for all gauges considered.Comment: 36 pages, 12 figure
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