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Numerical results in minimal lattice...

Cucchieri, Attilio.

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Numerical results in minimal lattice Coulomb and Landau gauges: Color-Coulomb potential and gluon and ghost propagators.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical results in minimal lattice Coulomb and Landau gauges: Color-Coulomb potential and gluon and ghost propagators./
作者:	Cucchieri, Attilio.
面頁冊數:	157 p.
附註:	Adviser: Daniel Zwanziger.
Contained By:	Dissertation Abstracts International57-08B.
標題:	Physics, Elementary Particles and High Energy. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9702010
ISBN:	0591083817

Numerical results in minimal lattice Coulomb and Landau gauges: Color-Coulomb potential and gluon and ghost propagators.
Cucchieri, Attilio.

Numerical results in minimal lattice Coulomb and Landau gauges: Color-Coulomb potential and gluon and ghost propagators. - 157 p.

Adviser: Daniel Zwanziger.

Thesis (Ph.D.)--New York University, 1996.

In order to gain insight into the shape of the fundamental modular region and the Gribov region, the dependence on Gribov copies is studied in the minimal Landau gauge for various observables.

ISBN: 0591083817Subjects--Topical Terms:

1019488
Physics, Elementary Particles and High Energy.

Numerical results in minimal lattice Coulomb and Landau gauges: Color-Coulomb potential and gluon and ghost propagators.
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020 $a 0591083817
035 $a (UnM)AAI9702010
035 $a AAI9702010
040 $a UnM $c UnM
100 1 $a Cucchieri, Attilio. $3 1256831
245 1 0 $a Numerical results in minimal lattice Coulomb and Landau gauges: Color-Coulomb potential and gluon and ghost propagators.
300 $a 157 p.
500 $a Adviser: Daniel Zwanziger.
500 $a Source: Dissertation Abstracts International, Volume: 57-08, Section: B, page: 5127.
502 $a Thesis (Ph.D.)--New York University, 1996.
520 $a In order to gain insight into the shape of the fundamental modular region and the Gribov region, the dependence on Gribov copies is studied in the minimal Landau gauge for various observables.
520 $a A numerical study is made of the consequences of the restriction to the fundamental modular region--a region without Gribov copies--within the framework of gauge-fixed lattice gauge theory. This is done for two different cases: the static color-Coulomb potential in minimal Coulomb gauge, and the gluon and ghost propagators in minimal Landau gauge.
520 $a The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb hamiltonian formulation of lattice gauge theory when the restriction to the interior of the Gribov horizon is implemented. Although it is not possible to estimate numerically the error caused by a neglected term, nevertheless the potential obtained is qualitatively in agreement with expectations, being Coulombic with logarithmic corrections at short range and confining at long range. The values obtained for the string tension and $\Lambda\sb{R}$ are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations.
520 $a The gluon and the ghost propagators are evaluated numerically in momentum space. For the ghost propagator at low momentum and finite volume, our data are consistent with $k \sp{-2.5}$, which is "between" the zeroth-order perturbation theory behavior ( $k \sp{-2})$ and the $k \sp{-4}$ singularity, predicted at infinite volume as a consequence of the restriction to the fundamental modular region. For the gluon propagator we find that, at low k, there is a region in the plane ( $n ,\beta$) where the propagator decreases as k decreases, in contradiction with zeroth-order perturbation theory. The volume of the lattice at which this anomalous behavior for the gluon propagator starts to be observed increases with the coupling $\beta$. To obtain more definite conclusions, it would be important to extend these simulations to larger lattice sizes.
590 $a School code: 0146.
650 4 $a Physics, Elementary Particles and High Energy. $3 1019488
690 $a 0798
710 2 0 $a New York University. $3 515735
773 0 $t Dissertation Abstracts International $g 57-08B.
790 $a 0146
790 1 0 $a Zwanziger, Daniel, $e advisor
791 $a Ph.D.
792 $a 1996
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9702010