FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022779072> ?p ?o ?g. }

• W2022779072 endingPage "160" @default.
• W2022779072 startingPage "135" @default.
• W2022779072 abstract "The loop equations defining the lattice U(N) gauge theory are recalled and a formal solution is presented (for N = 1 and N → ∞). Wilson's expectation function W(C) for a loop C is expressed as a matrix element of a resolvent in the space of all the loops between C and 0 (no loop). It is shown that such a solution provides a new numerical algorithm to compute physical quantities. This is based on a Ulam-von Neumann type of method for computing inverse matrix elements by introducing importance sampling for the paths in the space of the matrix indices, which in this case are the loops. As a result W(C) is obtained by summing over important paths in the loop space connecting C to 0. A Monte Carlo program is presented, for the N → ∞ case, where a very simple form for the importance sampling is introduced so that the computer time for each step in the construction of the path is minimized. The rates for successful paths (i.e. path C → 0 within a given finite number of steps) are computed for D = 2 and D = 4. Both rates and computer time involved encourage us to attempt a large scale calculation. Here the numerical studies of the convergence and of the fluctuations are presented only for D = 2. Convergence is rather fast, but specially in the weak-coupling region rare and large fluctuations appear thus suggesting that a better tuning for the importance sampling is needed." @default.
• W2022779072 created "2016-06-24" @default.
• W2022779072 creator A5060065667 @default.
• W2022779072 date "1984-06-01" @default.
• W2022779072 modified "2023-09-24" @default.
• W2022779072 title "Loop dynamics for gauge theories: A numerical algorithm" @default.
• W2022779072 cites W1965461171 @default.
• W2022779072 cites W1984331997 @default.
• W2022779072 cites W1984796712 @default.
• W2022779072 cites W2020007373 @default.
• W2022779072 cites W2021982611 @default.
• W2022779072 cites W2023217737 @default.
• W2022779072 cites W2032626204 @default.
• W2022779072 cites W2060969415 @default.
• W2022779072 cites W2061809405 @default.
• W2022779072 cites W2063210218 @default.
• W2022779072 cites W2084279606 @default.
• W2022779072 cites W2095078992 @default.
• W2022779072 cites W2124590498 @default.
• W2022779072 cites W2245169276 @default.
• W2022779072 doi "https://doi.org/10.1016/0550-3213(84)90087-7" @default.
• W2022779072 hasPublicationYear "1984" @default.
• W2022779072 type Work @default.
• W2022779072 sameAs 2022779072 @default.
• W2022779072 citedByCount "22" @default.
• W2022779072 countsByYear W20227790722017 @default.
• W2022779072 countsByYear W20227790722018 @default.
• W2022779072 crossrefType "journal-article" @default.
• W2022779072 hasAuthorship W2022779072A5060065667 @default.
• W2022779072 hasConcept C105795698 @default.
• W2022779072 hasConcept C106131492 @default.
• W2022779072 hasConcept C106487976 @default.
• W2022779072 hasConcept C111919701 @default.
• W2022779072 hasConcept C11413529 @default.
• W2022779072 hasConcept C114614502 @default.
• W2022779072 hasConcept C121332964 @default.
• W2022779072 hasConcept C127162648 @default.
• W2022779072 hasConcept C134306372 @default.
• W2022779072 hasConcept C138817895 @default.
• W2022779072 hasConcept C140779682 @default.
• W2022779072 hasConcept C159985019 @default.
• W2022779072 hasConcept C162324750 @default.
• W2022779072 hasConcept C181830111 @default.
• W2022779072 hasConcept C184670325 @default.
• W2022779072 hasConcept C192562407 @default.
• W2022779072 hasConcept C19499675 @default.
• W2022779072 hasConcept C196267783 @default.
• W2022779072 hasConcept C199360897 @default.
• W2022779072 hasConcept C207467116 @default.
• W2022779072 hasConcept C24890656 @default.
• W2022779072 hasConcept C2524010 @default.
• W2022779072 hasConcept C2777303404 @default.
• W2022779072 hasConcept C2777735758 @default.
• W2022779072 hasConcept C2778572836 @default.
• W2022779072 hasConcept C2781204021 @default.
• W2022779072 hasConcept C28826006 @default.
• W2022779072 hasConcept C31258907 @default.
• W2022779072 hasConcept C31972630 @default.
• W2022779072 hasConcept C33923547 @default.
• W2022779072 hasConcept C37914503 @default.
• W2022779072 hasConcept C41008148 @default.
• W2022779072 hasConcept C50522688 @default.
• W2022779072 hasConcept C57869625 @default.
• W2022779072 hasConceptScore W2022779072C105795698 @default.
• W2022779072 hasConceptScore W2022779072C106131492 @default.
• W2022779072 hasConceptScore W2022779072C106487976 @default.
• W2022779072 hasConceptScore W2022779072C111919701 @default.
• W2022779072 hasConceptScore W2022779072C11413529 @default.
• W2022779072 hasConceptScore W2022779072C114614502 @default.
• W2022779072 hasConceptScore W2022779072C121332964 @default.
• W2022779072 hasConceptScore W2022779072C127162648 @default.
• W2022779072 hasConceptScore W2022779072C134306372 @default.
• W2022779072 hasConceptScore W2022779072C138817895 @default.
• W2022779072 hasConceptScore W2022779072C140779682 @default.
• W2022779072 hasConceptScore W2022779072C159985019 @default.
• W2022779072 hasConceptScore W2022779072C162324750 @default.
• W2022779072 hasConceptScore W2022779072C181830111 @default.
• W2022779072 hasConceptScore W2022779072C184670325 @default.
• W2022779072 hasConceptScore W2022779072C192562407 @default.
• W2022779072 hasConceptScore W2022779072C19499675 @default.
• W2022779072 hasConceptScore W2022779072C196267783 @default.
• W2022779072 hasConceptScore W2022779072C199360897 @default.
• W2022779072 hasConceptScore W2022779072C207467116 @default.
• W2022779072 hasConceptScore W2022779072C24890656 @default.
• W2022779072 hasConceptScore W2022779072C2524010 @default.
• W2022779072 hasConceptScore W2022779072C2777303404 @default.
• W2022779072 hasConceptScore W2022779072C2777735758 @default.
• W2022779072 hasConceptScore W2022779072C2778572836 @default.
• W2022779072 hasConceptScore W2022779072C2781204021 @default.
• W2022779072 hasConceptScore W2022779072C28826006 @default.
• W2022779072 hasConceptScore W2022779072C31258907 @default.
• W2022779072 hasConceptScore W2022779072C31972630 @default.
• W2022779072 hasConceptScore W2022779072C33923547 @default.
• W2022779072 hasConceptScore W2022779072C37914503 @default.
• W2022779072 hasConceptScore W2022779072C41008148 @default.
• W2022779072 hasConceptScore W2022779072C50522688 @default.
• W2022779072 hasConceptScore W2022779072C57869625 @default.
• W2022779072 hasIssue "1" @default.

• next