Locality and exponential error reduction in numerical lattice gauge theory

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Locality and exponential error reduction in numerical lattice gauge theory

In non-abelian gauge theories without matter fields, expectation values of large Wilson loops and loop correlation functions are difficult to compute through numerical simulation, because the signal-to-noise ratio is very rapidly decaying for increasing loop sizes. Using a multilevel scheme that exploits the locality of the theory, we show that the statistical errors in such calculations can be...

متن کامل

Lattice Gauge Theory

Supercomputers have recently become a crucial tool for the quantum field the-orist. Applied to the formalism of lattice gauge theory, numerical simulations are providing fundamental quantitative information about the interactions of quarks, the fundamental constituents of those particles which experience nuclear interactions. Perhaps most strikingly, these simulations have provided convincing e...

متن کامل

Symmetries and exponential error reduction in YM theories on the lattice : theoretical aspects and simulation results ∗

The path integral of a quantum system with an exact symmetry can be written as a sum of functional integrals each giving the contribution from quantum states with definite symmetry properties. We propose a strategy to compute each of them, normalized to the one with vacuum quantum numbers, by a Monte Carlo procedure whose cost increases power-like with the time extent of the lattice. This is ac...

متن کامل

Positivity and topology in lattice gauge theory

With certain smoothness assumptions, continuum Yang-Mills field configurations in four dimensional spacetime can be classified by a topological winding number [1]. This realization has played a major role in our understanding of the importance of nonperturbative phenomena in the SU(3) gauge theory of the strong interactions [2]. This winding number is uniquely defined for smooth fields; however...

متن کامل

Symmetries and exponential error reduction in Yang-Mills theories on the lattice

The partition function of a quantum field theory with an exact symmetry can be decomposed into a sum of functional integrals each giving the contribution from states with definite symmetry properties. The composition rules of the corresponding transfer matrix elements can be exploited to devise a multi-level Monte Carlo integration scheme for computing correlation functions whose numerical cost...

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

ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2001

ISSN: 1029-8479

DOI: 10.1088/1126-6708/2001/09/010