Λ-contribution to the condensate in lattice gauge theory

نویسنده

  • G. Burgio
چکیده

We present some evidence that in lattice gauge theory the condensate contains a non-perturbative contribution proportional to Λ, the square of the physical scale. This result is based on an analysis of the Wilson loop plaquette expectation from Monte Carlo simulations and its perturbative expansion computed to eight loops. The analysis is not fully conclusive since the calculations are done on a finite lattice and one needs an extrapolation to infinite lattice. It has been recently suggested that in the gluon condensate a Λ-contribution could be present coming from the large momentum behaviour of the running coupling and not connected to operator product expansion. Research supported in part by MURST, Italy and by EC Programme “Human Capital and Mobility”, contract CHRX-CT92-0051 and contract CHRX-CT93-0357.

برای دانلود 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

Lambda²-Contribution to the Condensate in Lattice Gauge Theory

We present some evidence that in lattice gauge theory the condensate contains a non-perturbative contribution proportional to 2 , the square of the physical scale. This result is based on an analysis of the Wilson loop plaquette expectation from Monte Carlo simulations and its perturbative expansion computed to eight loops. The analysis is not fully conclusive since the calculations are done on...

متن کامل

Power corrections and perturbative coupling from lattice gauge theories

where Λ is the physical scale of the theory related to the running coupling αs = αs(Q ) at the scale Q. Since Λ has no expansion in αs, perturbative contributions are present only in W0, which from power counting is quartically divergent in the UV region. The term with the power Λ/Q is absent since there are no gauge invariant operators of dimension two. In the lattice theory all frequencies ar...

متن کامل

Renormalons from eight loop expansion of the gluon condensate in lattice gauge theory ∗

We use a numerical method to obtain the weak coupling perturbative coefficients of local operators with lattice regularization. Such a method allows us to extend the perturbative expansions obtained so far by analytical Feynman diagrams calculations. In SU(3) lattice gauge theory in four dimensions we compute the first eight coefficients of the expectation value of the Wilson loop on the elemen...

متن کامل

O.p.e. and Power Corrections on the Q.c.d. Coupling Constant

The running coupling constant can be estimated by computing gluon twoand three-point Green functions from the lattice. Computing in lattice implies working in a fixed gauge sector (Landau). An source of systematic uncertainty is then the contribution of non gauge-invariant condensates, as 〈A〉, generating power corrections that might still be important at very high energies. We study the impact ...

متن کامل

Separating perturbative and non-perturbative contributions to the plaquette

We try to separate the perturbative and non-perturbative contributions to the plaquette of pure SU(3) gauge theory. To do this we look at the large-n asymptotic behaviour of the perturbation series in order to estimate the contribution of the as-yet uncalculated terms in the series. We find no evidence for the previously reported Λ contribution to the gluon condensate. Attempting to determine t...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997