Investigation of Laplacian gauge fixing for U(1) and SU(2) gauge fields.
نویسنده
چکیده
The Laplacian gauge on the lattice is investigated numerically using U(1) and SU(2) gauge fields. The problem of Gribov ambiguities is addressed and to asses the smoothness of the gauge fixed configurations, they are compared to configurations fixed to the Landau gauge. The results of these comparisons with the Landau gauge indicate that Laplacian gauge fixing works very well in practice and offers a viable alternative to Landau gauge fixing. ∗e-mail: [email protected]
منابع مشابه
نظریه میدان ناجابهجایی و پارامترهای نقض لورنتس در QED
Non-commutative field theory as a theory including the Lorentz violation can be constructed in two different ways. In the first method, the non-commutative fields are the same as the ordinary ones while the gauge group is restricted to U(n). For example, the symmetry group of standard model in non-commutative space is U(3)×(2)×U(1) which can be reduced to SU(3)×SU(2)×U(1) by two appropriate spo...
متن کاملEffective Monopole Potential for SU(2) Lattice Gluodynamics in Spatial Maximal Abelian Gauge
We investigate the dual superconductor hypothesis in finitetemperature SU(2) lattice gluodynamics in the Spatial Maximal Abelian gauge. This gauge is more physical than the ordinary Maximal Abelian gauge due to absence of non-localities in temporal direction. We show numerically that in the Spatial Maximal Abelian gauge the probability distribution of the abelian monopole field is consistent wi...
متن کاملThe Maximal Abelian Gauge , Monopoles , and Vortices in SU ( 3 ) Lattice Gauge Theory
We report on calculations of the heavy quark potential in SU(3) lattice gauge theory. Full SU(3) results are compared to three cases which involve gauge-fixing and projection. All of these start from the maximal abelian gauge (MAG), in its simplest form. The first case is abelian projection to U(1) × U(1). The second keeps only the abelian fields of monopoles in the MAG. The third involves an a...
متن کاملPh. de Forcrand
I present a unified picture of center vortices and Abelian monopoles. Both appear as local gauge ambiguities in the Laplacian Center Gauge. This gauge is constructed for a general SU (N) theory. Numerical evidence is presented, for SU (2) and SU (3), that the projected Z N theory confines with a string tension similar to the non-Abelian one. 1 Motivation and technical problem The road traveled ...
متن کاملMinimal U(1) gauge fields in two dimensions
Gribov copies of the vacuum in two dimensional compact U(1) lattice gauge models are constructed. On the basis of this a gauge fixing algorithm is developped, wich finds the minimum of the sum of link field squares. Numerical experience in a two dimensional Higgs model with fixed length scalar field is reported and the extension to three and four dimensional U(1) and four dimensional SU(2) gaug...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. D, Particles and fields
دوره 51 3 شماره
صفحات -
تاریخ انتشار 1995