Monte Carlo simulations and field transformation: the scalar case

B. Alles, P. Butera, M. Della Morte, G. Marchesini

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

We describe a new method in lattice field theory to compute observables at various values of the parameters lambda_i in the action S[phi,lambda_i]. Firstly one performs a single simulation of a ``reference action'' S[phi^r, lambda_i^r] with fixed lambda_i^r. Then the phi^r-configurations are transformed into those of a field phi distributed according to S[phi,lambda_i], apart from a ``remainder action'' which enters as a \break weight. In this way we measure the observables at values of lambda_i different from lambda_i^r. We study the performance of the algorithm in the case of the simplest renormalizable model, namely the phi^4 scalar theory on a four dimensional lattice and compare the method with the ``histogram'' technique of which it is a generalization.
OriginalsprogUdefineret/Ukendt
TidsskriftNuclear Physics B
DOI
StatusUdgivet - 6. jul. 1998

Bibliografisk note

Latex, 23 pgs, 8 eps-figures included

Emneord

  • hep-lat

Citer dette

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title = "Monte Carlo simulations and field transformation: the scalar case",
abstract = "We describe a new method in lattice field theory to compute observables at various values of the parameters lambda_i in the action S[phi,lambda_i]. Firstly one performs a single simulation of a ``reference action'' S[phi^r, lambda_i^r] with fixed lambda_i^r. Then the phi^r-configurations are transformed into those of a field phi distributed according to S[phi,lambda_i], apart from a ``remainder action'' which enters as a \break weight. In this way we measure the observables at values of lambda_i different from lambda_i^r. We study the performance of the algorithm in the case of the simplest renormalizable model, namely the phi^4 scalar theory on a four dimensional lattice and compare the method with the ``histogram'' technique of which it is a generalization.",
keywords = "hep-lat",
author = "B. Alles and P. Butera and Morte, {M. Della} and G. Marchesini",
note = "Latex, 23 pgs, 8 eps-figures included",
year = "1998",
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Monte Carlo simulations and field transformation : the scalar case. / Alles, B.; Butera, P.; Morte, M. Della; Marchesini, G.

I: Nuclear Physics B, 06.07.1998.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Monte Carlo simulations and field transformation

T2 - the scalar case

AU - Alles, B.

AU - Butera, P.

AU - Morte, M. Della

AU - Marchesini, G.

N1 - Latex, 23 pgs, 8 eps-figures included

PY - 1998/7/6

Y1 - 1998/7/6

N2 - We describe a new method in lattice field theory to compute observables at various values of the parameters lambda_i in the action S[phi,lambda_i]. Firstly one performs a single simulation of a ``reference action'' S[phi^r, lambda_i^r] with fixed lambda_i^r. Then the phi^r-configurations are transformed into those of a field phi distributed according to S[phi,lambda_i], apart from a ``remainder action'' which enters as a \break weight. In this way we measure the observables at values of lambda_i different from lambda_i^r. We study the performance of the algorithm in the case of the simplest renormalizable model, namely the phi^4 scalar theory on a four dimensional lattice and compare the method with the ``histogram'' technique of which it is a generalization.

AB - We describe a new method in lattice field theory to compute observables at various values of the parameters lambda_i in the action S[phi,lambda_i]. Firstly one performs a single simulation of a ``reference action'' S[phi^r, lambda_i^r] with fixed lambda_i^r. Then the phi^r-configurations are transformed into those of a field phi distributed according to S[phi,lambda_i], apart from a ``remainder action'' which enters as a \break weight. In this way we measure the observables at values of lambda_i different from lambda_i^r. We study the performance of the algorithm in the case of the simplest renormalizable model, namely the phi^4 scalar theory on a four dimensional lattice and compare the method with the ``histogram'' technique of which it is a generalization.

KW - hep-lat

U2 - 10.1016/S0550-3213(98)00676-2

DO - 10.1016/S0550-3213(98)00676-2

M3 - Tidsskriftartikel

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

ER -