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Monte Carlo simulation of 1+1-dimensional {phi}{sup 4} quantum field theory

Abstract

We report results of a Monte Carlo simulation of the {phi}{sup 4} quantum field theory using multigrid simulation techniques and a refined discretization scheme. The resulting accuracy of our data allows for a significant test of an analytical approximation based on a variational ansatz. While the variational approximation is well reproduced for a large range of parameters we find significant deviations for low temperatures and large couplings. ((orig.)).
Authors:
Janke, W; [1]  Sauer, T [2] 
  1. Mainz Univ. (Germany). Inst. fuer Physik
  2. Institut fuer Theoretische Physik, Freie Universitaet Berlin, 14195 Berlin (Germany)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064329; EDB-95:132425; SN: 95001458345
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; MONTE CARLO METHOD; PHI4-FIELD THEORY; ACCURACY; ANALYTICAL SOLUTION; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; HAMILTONIANS; ONE-DIMENSIONAL CALCULATIONS; PARTITION FUNCTIONS; SPACE-TIME; SPECIFIC HEAT; STORED ENERGY; TWO-DIMENSIONAL CALCULATIONS; VARIATIONAL METHODS
OSTI ID:
101020
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF359064329
Submitting Site:
NLN
Size:
pp. 917-919
Announcement Date:
Oct 05, 1995

Citation Formats

Janke, W, and Sauer, T. Monte Carlo simulation of 1+1-dimensional {phi}{sup 4} quantum field theory. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00421-5.
Janke, W, & Sauer, T. Monte Carlo simulation of 1+1-dimensional {phi}{sup 4} quantum field theory. Netherlands. doi:10.1016/0920-5632(95)00421-5.
Janke, W, and Sauer, T. 1995. "Monte Carlo simulation of 1+1-dimensional {phi}{sup 4} quantum field theory." Netherlands. doi:10.1016/0920-5632(95)00421-5. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00421-5.
@misc{etde_101020,
title = {Monte Carlo simulation of 1+1-dimensional {phi}{sup 4} quantum field theory}
author = {Janke, W, and Sauer, T}
abstractNote = {We report results of a Monte Carlo simulation of the {phi}{sup 4} quantum field theory using multigrid simulation techniques and a refined discretization scheme. The resulting accuracy of our data allows for a significant test of an analytical approximation based on a variational ansatz. While the variational approximation is well reproduced for a large range of parameters we find significant deviations for low temperatures and large couplings. ((orig.)).}
doi = {10.1016/0920-5632(95)00421-5}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}