Stochastic Perturbation Theory
نویسندگان
چکیده
منابع مشابه
Instantaneous stochastic perturbation theory
A form of stochastic perturbation theory is described, where the representative stochastic fields are generated instantaneously rather than through a Markov process. The correctness of the procedure is established to all orders of the expansion and for a wide class of field theories that includes all common formulations of lattice QCD.
متن کاملStochastic Perturbation Theory
In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a rst-order perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating the variation in the perturbed quantity. Up to the higher-order terms that are ignored in the expansion, these st...
متن کاملUnquenched Numerical Stochastic Perturbation Theory
At Lattice 2000 we discussed how to include fermionic loops contributions in Numerical Stochastic Perturbation Theory for Lattice SU(3), an algorithm which we will refer to as UNSPT (Unquenched NSPT). Our main message here is that unquenching NSPT results in not such a heavy computational overhead, provided only that an FFT can be implemented in a fairly efficient way. FFT is the main ingredien...
متن کاملNumerical Stochastic Perturbation Theory for full QCD
We give a full account of the Numerical Stochastic Perturbation Theory method for Lattice Gauge Theories. Particular relevance is given to the inclusion of dynamical fermions, which turns out to be surprisingly cheap in this context. We analyse the underlying stochastic process and discuss the convergence properties. We perform some benchmark calculations and as a byproduct we present original ...
متن کاملFermionic Loops in Numerical Stochastic Perturbation Theory
In recent years the Numerical implementation of Stochastic Perturbation Theory (NSPT) was introduced, which was able to reach unprecedented high orders in perturbative expansions in Lattice Gauge Theories (LGT). Till now the main limitation of the method has been the quenched approximation, an inclusion of fermionic loops contributions missing. We can now fill this gap. Let us first of all remi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Review
سال: 1990
ISSN: 0036-1445,1095-7200
DOI: 10.1137/1032121