RG decimation-based approach to confinement and computation on coarser lattices

نویسنده

  • E. T. Tomboulis
چکیده

A systematic procedure is presented for connecting short to long scales in LGT. Approximate decimations are used which can provide both upper and lower bounds on the partition function. Its exact value is then obtained by interpolation between the bounds. By iterating the procedure representations of the partition function as well as other physical quantities can be obtained on progressively coarser lattices. For SU(2) IR flow into the confining strong coupling regime results for any initial β .

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - l at / 0 70 20 27 v 1 2 8 Fe b 20 07 Improving the improved action

We investigate the construction of improved actions by the Monte Carlo Renormalization Group method in the context of SU (2) gauge theory utilizing different decimation procedures and effective actions. We demonstrate that the basic self-consistency requirement for correct application of MCRG, i.e. that the decimated configurations are equilibrium configurations of the adopted form of the effec...

متن کامل

Confinement for all values of the coupling in four-dimensional SU(2) gauge theory

A derivation is given from first principles of the fact that the SU(2) gauge theory is in a confining phase for all values of the coupling 0 < g < ∞ defined at lattice spacing (UV regulator) a, and space-time dimension d ≤ 4. The strategy is to employ approximate RG decimation transformations of the potential moving type which give both upper and lower bounds on the partition function at each s...

متن کامل

ar X iv : c on d - m at / 9 31 20 20 v 1 5 D ec 1 99 3 Replica Real Space Renormalization Group for Spin Glasses

We construct a real space renormalization group (RG) approach for Ising spin glasses on hypercubic lattices within the scheme of the Migdal-Kadanoff approximation using replicas. Our replica symmetric solution yields results consistent with simple decimation previously obtained and the introduction of breaking of replica symmetry within the RG is discussed, which inserts in a natural fashion no...

متن کامل

Rg Decimations and Confinement *

We outline the steps in a derivation of the statement that the SU(2) gauge theory is in a confining phase for all values of the coupling, 0 < β < ∞, defined at lattice spacing a. The approach employed is to obtain both upper and lower bounds for the partition function and the ‘twisted’ partition function in terms of approximate decimation transformations. The behavior of the exact quantities is...

متن کامل

A new metaheuristic genetic-based placement algorithm for 2D strip packing

Given a container of fixed width, infinite height and a set of rectangular block, the 2D-strip packing problem consists of orthogonally placing all the rectangles such that the height is minimized. The position is subject to confinement of no overlapping of blocks. The problem is a complex NP-hard combinatorial optimization, thus a heuristic based on genetic algorithm is proposed to solve it. I...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005