Published November 1989 | Version v1
Report

On some algorithms for computer evaluation of functional integrals

  • 1. Joint Inst. for Nuclear Research, Dubna (USSR)
  • 2. Erevanskij Fizicheskij Inst., Erevan (USSR)

Description

The construction of approximation formulas for the functional integrals with respect to a Gaussian measure in the full separable metric spaces is described. In the special case of conditional Wiener measure the family of approximation formulas with weight is obtained. The employment of the formulas gives significant (by an order) economy of computer time and memory versus lattice Monte Carlo method. The functional integration measure in Euclidean quantum field theory with polynomial interactions of boson fields in two-dimensional space-time is investigated. (author) 53 refs.; 10 tabs

Part of:
Collection of scientific papers in collaboration with Joint Institute for Nuclear Research, Dubna, USSR and Central Research Institute for Physics, Budapest, Hungary Vol. 6

Additional details

Publishing Information

Imprint Title
Collection of scientific papers in collaboration with Joint Institute for Nuclear Research, Dubna, USSR and Central Research Institute for Physics, Budapest, Hungary Vol. 6
Imprint Pagination
266 p.
Journal Page Range
p. 1-28.
Report number
KFKI--1989-62/M

INIS

Country of Publication
Hungary
Country of Input or Organization
Hungary
INIS RN
21065174
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
ALGORITHMS; COMPUTER CALCULATIONS; COMPUTER CODES; CONVERGENCE; FEYNMAN PATH INTEGRAL; FUNCTIONALS; GAUSS FUNCTION; MEASURE THEORY
Descriptors DEC
FUNCTIONS; INTEGRALS; MATHEMATICS

Optional Information