The Effective Action From Multigrid Monte Carlo

We describe a new method to calculate the effective action in lattice field theories through the multigrid Monte Carlo technique. It permits stochastic computations for critical and nearly critical systems without critical slowing down. As a first application the φ 4 -theory in 4 dimensions with spontaneous symmetry breaking is studied. We obtain an estimate of the dynamical critical exponent. The trong reduction of the relaxation time permits accurate determination of the effective action close to the critical surface.

talk
lattice field theory: critical phenomena
renormalization group: block spin
block spin: renormalization group
background field
effective action
expansion: cluster
phi**n model: 4
spontaneous symmetry breaking
numerical calculations: Monte Carlo

References(8)

Figures(0)

Multigrid Monte Carlo Method for Lattice Field Theories

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(
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)
,
A.D. Sokal
(
- New York U.
)

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Guy A. Battle, III
(
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Paul Federbush
(
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Daniel Kandel
(
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Eytan Domany
(
- Weizmann Inst.
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Dorit Ron
(
- Weizmann Inst.
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Achi Brandt
(
- Weizmann Inst.
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Eugene Loh
(
- Lebedev Inst. and
- Los Alamos
)

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•
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Supercomputing the Effective Action

Julius Kuti
(
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,
Yue Shen
(
- UC, San Diego
)

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M. Luscher
(
- DESY
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,
P. Weisz
(
- Hamburg U.
)

- Nucl.Phys.B 290 (1987) 25-60
•
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Scaling Laws and Triviality Bounds in the Lattice phi**4 Theory. 2. One Component Model in the Phase with Spontaneous Symmetry Breaking

M. Luscher
(
- DESY
)
,
P. Weisz
(
- Hamburg U.
)

- Nucl.Phys.B 295 (1988) 65-92
•
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The constraint effective potential

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